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10320412232 = 2313289199431
BaseRepresentation
bin10011001110010010…
…01111111001001000
3222122020200021002002
421213021033321020
5132114011142412
64424030130132
7513515025254
oct114711177110
928566607062
1010320412232
114416670509
122000350948
13c861b4200
146dc92b264
1540609edc2
hex26724fe48

10320412232 has 96 divisors (see below), whose sum is σ = 21345120000. Its totient is φ = 4675207680.

The previous prime is 10320412187. The next prime is 10320412237. The reversal of 10320412232 is 23221402301.

10320412232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10320412237) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23945057 + ... + 23945487.

It is an arithmetic number, because the mean of its divisors is an integer number (222345000).

Almost surely, 210320412232 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 10320412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10672560000).

10320412232 is an abundant number, since it is smaller than the sum of its proper divisors (11024707768).

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

10320412232 is a wasteful number, since it uses less digits than its factorization.

10320412232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10320412232 its reverse (23221402301), we get a palindrome (33541814533).

The spelling of 10320412232 in words is "ten billion, three hundred twenty million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 89 104 169 178 199 338 356 398 431 676 712 796 862 1157 1352 1592 1724 2314 2587 3448 4628 5174 5603 9256 10348 11206 15041 17711 20696 22412 30082 33631 35422 38359 44824 60164 67262 70844 72839 76718 85769 120328 134524 141688 145678 153436 171538 230243 269048 291356 306872 343076 460486 498667 582712 686152 920972 997334 1114997 1841944 1994668 2229994 2993159 3989336 4459988 5986318 6482671 7633441 8919976 11972636 12965342 14494961 15266882 23945272 25930684 28989922 30533764 51861368 57979844 61067528 99234733 115959688 198469466 396938932 793877864 1290051529 2580103058 5160206116 10320412232