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10102323132 = 22331179107641
BaseRepresentation
bin10010110100010010…
…10011011110111100
3222002001022012002000
421122021103132330
5131142143320012
64350235502300
7505226221056
oct113211233674
928061265060
1010102323132
114314552990
121b5b2b7990
13c4cc654c5
146bb99a8d6
153e1d70ddc
hex25a2537bc

10102323132 has 96 divisors (see below), whose sum is σ = 28934169600. Its totient is φ = 3022531200.

The previous prime is 10102323131. The next prime is 10102323149. The reversal of 10102323132 is 23132320101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102323131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40032 + ... + 147672.

It is an arithmetic number, because the mean of its divisors is an integer number (301397600).

Almost surely, 210102323132 is an apocalyptic number.

10102323132 is a gapful number since it is divisible by the number (12) 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 10102323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467084800).

10102323132 is an abundant number, since it is smaller than the sum of its proper divisors (18831846468).

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

10102323132 is a wasteful number, since it uses less digits than its factorization.

10102323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107744 (or 107736 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10102323132 its reverse (23132320101), we get a palindrome (33234643233).

The spelling of 10102323132 in words is "ten billion, one hundred two million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 79 99 108 132 158 198 237 297 316 396 474 594 711 869 948 1188 1422 1738 2133 2607 2844 3476 4266 5214 7821 8532 10428 15642 23463 31284 46926 93852 107641 215282 322923 430564 645846 968769 1184051 1291692 1937538 2368102 2906307 3552153 3875076 4736204 5812614 7104306 8503639 10656459 11625228 14208612 17007278 21312918 25510917 31969377 34014556 42625836 51021834 63938754 76532751 93540029 102043668 127877508 153065502 187080058 229598253 280620087 306131004 374160116 459196506 561240174 841860261 918393012 1122480348 1683720522 2525580783 3367441044 5051161566 10102323132