Search a number
-
+
102361512 = 233111920407
BaseRepresentation
bin1100001100111…
…10100110101000
321010121111121010
412012132212220
5202201032022
614053543520
72352026031
oct606364650
9233544533
10102361512
11528647a0
122a344ba0
131828c656
14d847a88
158ebe50c
hex619e9a8

102361512 has 64 divisors (see below), whose sum is σ = 293875200. Its totient is φ = 29384640.

The previous prime is 102361463. The next prime is 102361517. The reversal of 102361512 is 215163201.

It is a super-2 number, since 2×1023615122 = 20955758277852288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102361517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5188 + ... + 15219.

It is an arithmetic number, because the mean of its divisors is an integer number (4591800).

Almost surely, 2102361512 is an apocalyptic number.

102361512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102361512 is an abundant number, since it is smaller than the sum of its proper divisors (191513688).

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

102361512 is a wasteful number, since it uses less digits than its factorization.

102361512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20446 (or 20442 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 102361512 is about 10117.3866190830. The cubic root of 102361512 is about 467.7842163967.

The spelling of 102361512 in words is "one hundred two million, three hundred sixty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 20407 40814 61221 81628 122442 163256 224477 244884 387733 448954 489768 673431 775466 897908 1163199 1346862 1550932 1795816 2326398 2693724 3101864 4265063 4652796 5387448 8530126 9305592 12795189 17060252 25590378 34120504 51180756 102361512