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104131503132 = 223191816074157
BaseRepresentation
bin110000011111010111…
…0001010010000011100
3100221210002210110002020
41200332232022100130
53201230131100012
6115500511300140
710344322113066
oct1407656122034
9327702713066
10104131503132
11401865785a8
121822151a650
139a86754b57
14507ba46736
152a96cd8a8c
hex183eb8a41c

104131503132 has 96 divisors (see below), whose sum is σ = 257660282880. Its totient is φ = 32640226560.

The previous prime is 104131503107. The next prime is 104131503167. The reversal of 104131503132 is 231305131401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25047598 + ... + 25051754.

It is an arithmetic number, because the mean of its divisors is an integer number (2683961280).

Almost surely, 2104131503132 is an apocalyptic number.

104131503132 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 104131503132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128830141440).

104131503132 is an abundant number, since it is smaller than the sum of its proper divisors (153528779748).

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

104131503132 is a wasteful number, since it uses less digits than its factorization.

104131503132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 104131503132 its reverse (231305131401), we get a palindrome (335436634533).

The spelling of 104131503132 in words is "one hundred four billion, one hundred thirty-one million, five hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 181 228 362 543 607 724 1086 1214 1821 2172 2428 3439 3642 4157 6878 7284 8314 10317 11533 12471 13756 16628 20634 23066 24942 34599 41268 46132 49884 69198 78983 109867 138396 157966 219734 236949 315932 329601 439468 473898 659202 752417 947796 1318404 1504834 2087473 2257251 2523299 3009668 4174946 4514502 5046598 6262419 7569897 8349892 9029004 10093196 12524838 14295923 15139794 25049676 28591846 30279588 42887769 47942681 57183692 85775538 95885362 143828043 171551076 191770724 287656086 456717119 575312172 913434238 1370151357 1826868476 2740302714 5480605428 8677625261 17355250522 26032875783 34710501044 52065751566 104131503132