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102552302120 = 23517295200421
BaseRepresentation
bin101111110000010010…
…1111111001000101000
3100210201001020201112212
41133200211333020220
53140011342131440
6115040055424252
710260225120362
oct1374045771050
9323631221485
10102552302120
113a5461124a4
1217a60685088
139894522098
144d6c007d32
152a03347465
hex17e097f228

102552302120 has 64 divisors (see below), whose sum is σ = 252740509200. Its totient is φ = 37276610560.

The previous prime is 102552302107. The next prime is 102552302129. The reversal of 102552302120 is 21203255201.

It can be written as a sum of positive squares in 8 ways, for example, as 52158337924 + 50393964196 = 228382^2 + 224486^2 .

It is a super-2 number, since 2×1025523021202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102552302129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2580491 + ... + 2619930.

Almost surely, 2102552302120 is an apocalyptic number.

102552302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102552302120 is an abundant number, since it is smaller than the sum of its proper divisors (150188207080).

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

102552302120 is a wasteful number, since it uses less digits than its factorization.

102552302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200478 (or 5200474 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 102552302120 its reverse (21203255201), we get a palindrome (123755557321).

The spelling of 102552302120 in words is "one hundred two billion, five hundred fifty-two million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 19720 5200421 10400842 20801684 26002105 41603368 52004210 88407157 104008420 150812209 176814314 208016840 301624418 353628628 442035785 603248836 707257256 754061045 884071570 1206497672 1508122090 1768143140 2563807553 3016244180 3536286280 5127615106 6032488360 10255230212 12819037765 20510460424 25638075530 51276151060 102552302120