[go: up one dir, main page]

Search a number
-
+
1012201320 = 2335131514297
BaseRepresentation
bin111100010101001…
…111011101101000
32121112122011011210
4330111033131220
54033110420240
6244234553120
734040366154
oct7425173550
92545564153
101012201320
1147a3a7919
12242b987a0
1313191c9c0
1498606064
155dce1780
hex3c54f768

1012201320 has 128 divisors (see below), whose sum is σ = 3292611840. Its totient is φ = 247449600.

The previous prime is 1012201277. The next prime is 1012201321. The reversal of 1012201320 is 231022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012201296 and 1012201305.

It is not an unprimeable number, because it can be changed into a prime (1012201321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233412 + ... + 237708.

It is an arithmetic number, because the mean of its divisors is an integer number (25723530).

Almost surely, 21012201320 is an apocalyptic number.

1012201320 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 1012201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646305920).

1012201320 is an abundant number, since it is smaller than the sum of its proper divisors (2280410520).

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

1012201320 is a wasteful number, since it uses less digits than its factorization.

1012201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1012201320 is about 31815.1115038121. Note that the first 3 decimals coincide. The cubic root of 1012201320 is about 1004.0506765318.

Adding to 1012201320 its reverse (231022101), we get a palindrome (1243223421).

The spelling of 1012201320 in words is "one billion, twelve million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 151 156 195 260 302 312 390 453 520 604 755 780 906 1208 1510 1560 1812 1963 2265 3020 3624 3926 4297 4530 5889 6040 7852 8594 9060 9815 11778 12891 15704 17188 18120 19630 21485 23556 25782 29445 34376 39260 42970 47112 51564 55861 58890 64455 78520 85940 103128 111722 117780 128910 167583 171880 223444 235560 257820 279305 335166 446888 515640 558610 648847 670332 837915 1117220 1297694 1340664 1675830 1946541 2234440 2595388 3244235 3351660 3893082 5190776 6488470 6703320 7786164 8435011 9732705 12976940 15572328 16870022 19465410 25305033 25953880 33740044 38930820 42175055 50610066 67480088 77861640 84350110 101220132 126525165 168700220 202440264 253050330 337400440 506100660 1012201320