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15131023332 = 223171271633583
BaseRepresentation
bin11100001011110000…
…10001011111100100
31110001111200121220120
432011320101133210
5221442020221312
610541234201540
71043650401435
oct160570213744
943044617816
1015131023332
116465082867
122b234232b0
131571a32559
14a377ad48c
155d859628c
hex385e117e4

15131023332 has 96 divisors (see below), whose sum is σ = 37918605312. Its totient is φ = 4679410176.

The previous prime is 15131023291. The next prime is 15131023361. The reversal of 15131023332 is 23332013151.

15131023332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4221213 + ... + 4224795.

It is an arithmetic number, because the mean of its divisors is an integer number (394985472).

Almost surely, 215131023332 is an apocalyptic number.

15131023332 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 15131023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959302656).

15131023332 is an abundant number, since it is smaller than the sum of its proper divisors (22787581980).

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

15131023332 is a wasteful number, since it uses less digits than its factorization.

15131023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 15131023332 its reverse (23332013151), we get a palindrome (38463036483).

The spelling of 15131023332 in words is "fifteen billion, one hundred thirty-one million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 163 204 254 326 381 489 508 652 762 978 1524 1956 2159 2771 3583 4318 5542 6477 7166 8313 8636 10749 11084 12954 14332 16626 20701 21498 25908 33252 41402 42996 60911 62103 82804 121822 124206 182733 243644 248412 351917 365466 455041 584029 703834 730932 910082 1055751 1168058 1365123 1407668 1752087 1820164 2111502 2336116 2730246 3504174 4223004 5460492 7008348 7735697 9928493 15471394 19856986 23207091 29785479 30942788 39713972 46414182 59570958 74171683 92828364 119141916 148343366 222515049 296686732 445030098 890060196 1260918611 2521837222 3782755833 5043674444 7565511666 15131023332