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103352032264 = 23138317236949
BaseRepresentation
bin110000001000001000…
…0101101110000001000
3100212202210002020001211
41200100100231300020
53143131110013024
6115251304422504
710316105531215
oct1402020556010
9325683066054
10103352032264
113a9165895a8
1218044477a34
13999110c1a0
145006302b0c
152a4d669594
hex181042dc08

103352032264 has 64 divisors (see below), whose sum is σ = 211358952000. Its totient is φ = 47092098816.

The previous prime is 103352032229. The next prime is 103352032319. The reversal of 103352032264 is 462230253301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14869462 + ... + 14876410.

It is an arithmetic number, because the mean of its divisors is an integer number (3302483625).

Almost surely, 2103352032264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103352032264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105679476000).

103352032264 is an abundant number, since it is smaller than the sum of its proper divisors (108006919736).

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

103352032264 is a wasteful number, since it uses less digits than its factorization.

103352032264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 103352032264 its reverse (462230253301), we get a palindrome (565582285565).

The spelling of 103352032264 in words is "one hundred three billion, three hundred fifty-two million, thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 664 1079 1723 2158 3446 4316 6892 6949 8632 13784 13898 22399 27796 44798 55592 89596 90337 143009 179192 180674 286018 361348 572036 576767 722696 1144072 1153534 1859117 2307068 3718234 4614136 7436468 7497971 11973127 14872936 14995942 23946254 29991884 47892508 59983768 95785016 155650651 311301302 622602604 993769541 1245205208 1987539082 3975078164 7950156328 12919004033 25838008066 51676016132 103352032264