[go: up one dir, main page]

Search a number
-
+
1244300100 = 2235229891607
BaseRepresentation
bin100101000101010…
…1000001101000100
310012201100222211220
41022022220031010
510022020100400
6323245400340
742556243041
oct11212501504
93181328756
101244300100
1158941409a
122a88690b0
1316aa35364
14bb3821c8
157438b7a0
hex4a2a8344

1244300100 has 144 divisors (see below), whose sum is σ = 3768508800. Its totient is φ = 316574720.

The previous prime is 1244300089. The next prime is 1244300107. The reversal of 1244300100 is 10034421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1244300100.

It is not an unprimeable number, because it can be changed into a prime (1244300107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773497 + ... + 775103.

It is an arithmetic number, because the mean of its divisors is an integer number (26170200).

Almost surely, 21244300100 is an apocalyptic number.

1244300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884254400).

1244300100 is an abundant number, since it is smaller than the sum of its proper divisors (2524208700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1244300100 is a wasteful number, since it uses less digits than its factorization.

1244300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1244300100 is about 35274.6381980028. The cubic root of 1244300100 is about 1075.5775083378.

Adding to 1244300100 its reverse (10034421), we get a palindrome (1254334521).

The spelling of 1244300100 in words is "one billion, two hundred forty-four million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 89 100 116 145 150 174 178 267 290 300 348 356 435 445 534 580 725 870 890 1068 1335 1450 1607 1740 1780 2175 2225 2581 2670 2900 3214 4350 4450 4821 5162 5340 6428 6675 7743 8035 8700 8900 9642 10324 12905 13350 15486 16070 19284 24105 25810 26700 30972 32140 38715 40175 46603 48210 51620 64525 77430 80350 93206 96420 120525 129050 139809 143023 154860 160700 186412 193575 233015 241050 258100 279618 286046 387150 429069 466030 482100 559236 572092 699045 715115 774300 858138 932060 1165075 1398090 1430230 1716276 2145345 2330150 2796180 2860460 3495225 3575575 4147667 4290690 4660300 6990450 7151150 8295334 8581380 10726725 12443001 13980900 14302300 16590668 20738335 21453450 24886002 41476670 42906900 49772004 62215005 82953340 103691675 124430010 207383350 248860020 311075025 414766700 622150050 1244300100