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10152323412 = 22371113183873
BaseRepresentation
bin10010111010010000…
…00010100101010100
3222012112101110120020
421131020002211110
5131242443322122
64355223305140
7506404216350
oct113510024524
928175343506
1010152323412
11433a7a3930
121b73bab1b0
13c5a420a7a
146c4494460
153e644ac5c
hex25d202954

10152323412 has 96 divisors (see below), whose sum is σ = 29759837184. Its totient is φ = 2616806400.

The previous prime is 10152323387. The next prime is 10152323437. The reversal of 10152323412 is 21432325101.

It is an interprime number because it is at equal distance from previous prime (10152323387) and next prime (10152323437).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 79108 + ... + 162980.

It is an arithmetic number, because the mean of its divisors is an integer number (309998304).

Almost surely, 210152323412 is an apocalyptic number.

10152323412 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 10152323412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879918592).

10152323412 is an abundant number, since it is smaller than the sum of its proper divisors (19607513772).

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

10152323412 is a wasteful number, since it uses less digits than its factorization.

10152323412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84029 (or 84027 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10152323412 its reverse (21432325101), we get a palindrome (31584648513).

The spelling of 10152323412 in words is "ten billion, one hundred fifty-two million, three hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 131 132 154 231 262 308 393 462 524 786 917 924 1441 1572 1834 2751 2882 3668 4323 5502 5764 8646 10087 11004 17292 20174 30261 40348 60522 83873 121044 167746 251619 335492 503238 587111 922603 1006476 1174222 1761333 1845206 2348444 2767809 3522666 3690412 5535618 6458221 7045332 10987363 11071236 12916442 19374663 21974726 25832884 32962089 38749326 43949452 65924178 76911541 77498652 120860993 131848356 153823082 230734623 241721986 307646164 362582979 461469246 483443972 725165958 846026951 922938492 1450331916 1692053902 2538080853 3384107804 5076161706 10152323412