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103223023232 = 2774314917981
BaseRepresentation
bin110000000100010010…
…0100101011010000000
3100212102210022212221112
41200020210211122000
53142400043220412
6115230415342452
710312651135460
oct1401044453200
9325383285845
10103223023232
113a85a78416a
1218009221a28
13997047c794
144dd311dba0
152a42184722
hex1808925680

103223023232 has 128 divisors (see below), whose sum is σ = 242109648000. Its totient is φ = 42917253120.

The previous prime is 103223023207. The next prime is 103223023247. The reversal of 103223023232 is 232320322301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 103223023198 and 103223023207.

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, 5731682 + ... + 5749662.

It is an arithmetic number, because the mean of its divisors is an integer number (1891481625).

Almost surely, 2103223023232 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 103223023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121054824000).

103223023232 is an abundant number, since it is smaller than the sum of its proper divisors (138886624768).

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

103223023232 is a wasteful number, since it uses less digits than its factorization.

103223023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18194 (or 18182 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 103223023232 its reverse (232320322301), we get a palindrome (335543345533).

The spelling of 103223023232 in words is "one hundred three billion, two hundred twenty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 149 172 224 298 301 344 448 596 602 688 896 1043 1192 1204 1376 2086 2384 2408 2752 4172 4768 4816 5504 6407 8344 9536 9632 12814 16688 17981 19072 19264 25628 33376 35962 38528 44849 51256 66752 71924 89698 102512 125867 133504 143848 179396 205024 251734 287696 358792 410048 503468 575392 717584 773183 820096 1006936 1150784 1435168 1546366 2013872 2301568 2679169 2870336 3092732 4027744 5358338 5412281 5740672 6185464 8055488 10716676 10824562 12370928 16110976 18754183 21433352 21649124 24741856 37508366 42866704 43298248 49483712 75016732 85733408 86596496 98967424 115204267 150033464 171466816 173192992 230408534 300066928 342933632 346385984 460817068 600133856 692771968 806429869 921634136 1200267712 1612859738 1843268272 2400535424 3225719476 3686536544 6451438952 7373073088 12902877904 14746146176 25805755808 51611511616 103223023232