[go: up one dir, main page]

Search a number
-
+
1213000200 = 2332523132153
BaseRepresentation
bin100100001001100…
…1110101000001000
310010112110210110100
41020103032220020
54441012001300
6320210445400
742026221506
oct11023165010
93115423410
101213000200
11572786005
1229a293860
131643c67c9
14b7155676
1571757700
hex484cea08

1213000200 has 144 divisors (see below), whose sum is σ = 4088572020. Its totient is φ = 322283520.

The previous prime is 1213000181. The next prime is 1213000213. The reversal of 1213000200 is 20003121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1542564 + 1211457636 = 1242^2 + 34806^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 562324 + ... + 564476.

Almost surely, 21213000200 is an apocalyptic number.

1213000200 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 1213000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044286010).

1213000200 is an abundant number, since it is smaller than the sum of its proper divisors (2875571820).

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

1213000200 is a wasteful number, since it uses less digits than its factorization.

1213000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1213000200 is about 34828.1524057766. The cubic root of 1213000200 is about 1066.4822315664.

Adding to 1213000200 its reverse (20003121), we get a palindrome (1233003321).

The spelling of 1213000200 in words is "one billion, two hundred thirteen million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 313 360 450 600 626 900 939 1252 1565 1800 1878 2153 2504 2817 3130 3756 4306 4695 5634 6260 6459 7512 7825 8612 9390 10765 11268 12520 12918 14085 15650 17224 18780 19377 21530 22536 23475 25836 28170 31300 32295 37560 38754 43060 46950 51672 53825 56340 62600 64590 70425 77508 86120 93900 96885 107650 112680 129180 140850 155016 161475 187800 193770 215300 258360 281700 322950 387540 430600 484425 563400 645900 673889 775080 968850 1291800 1347778 1937700 2021667 2695556 3369445 3875400 4043334 5391112 6065001 6738890 8086668 10108335 12130002 13477780 16173336 16847225 20216670 24260004 26955560 30325005 33694450 40433340 48520008 50541675 60650010 67388900 80866680 101083350 121300020 134777800 151625025 202166700 242600040 303250050 404333400 606500100 1213000200