Search a number
-
+
102525101412 = 223437317315733
BaseRepresentation
bin101111101111011111…
…0001110010101100100
3100210122011001210012020
41133132332032111210
53134432411221122
6115033244423140
710256444661126
oct1373676162544
9323564053166
10102525101412
113a531824178
1217a53547ab0
13988b9ba2a6
144d68567216
152a00c72c5c
hex17def8e564

102525101412 has 96 divisors (see below), whose sum is σ = 249592092288. Its totient is φ = 32730614784.

The previous prime is 102525101407. The next prime is 102525101417. The reversal of 102525101412 is 214101525201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102525101407) and next prime (102525101417).

It is a super-2 number, since 2×1025251014122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102525101417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6508698 + ... + 6524430.

It is an arithmetic number, because the mean of its divisors is an integer number (2599917628).

Almost surely, 2102525101412 is an apocalyptic number.

102525101412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102525101412 is an abundant number, since it is smaller than the sum of its proper divisors (147066990876).

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

102525101412 is a wasteful number, since it uses less digits than its factorization.

102525101412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16029 (or 16027 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 102525101412 its reverse (214101525201), we get a palindrome (316626626613).

The spelling of 102525101412 in words is "one hundred two billion, five hundred twenty-five million, one hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 43 73 86 129 146 172 173 219 258 292 346 438 516 519 692 876 1038 2076 3139 6278 7439 9417 12556 12629 14878 15733 18834 22317 25258 29756 31466 37668 37887 44634 47199 50516 62932 75774 89268 94398 151548 188796 543047 676519 1086094 1148509 1353038 1629141 2029557 2172188 2297018 2706076 2721809 3258282 3445527 4059114 4594036 5443618 6516564 6891054 8118228 8165427 10887236 13782108 16330854 32661708 49385887 98771774 117037787 148157661 197543548 198692057 234075574 296315322 351113361 397384114 468151148 592630644 596076171 702226722 794768228 1192152342 1404453444 2384304684 8543758451 17087516902 25631275353 34175033804 51262550706 102525101412