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10320313122 = 232781907247
BaseRepresentation
bin10011001110010001…
…10111101100100010
3222122020111020010100
421213020313230202
5132114000004442
64424024043230
7513514133310
oct114710675442
928566436110
1010320313122
114416602aa9
122000303516
13c8617b072
146dc9030b0
1540608084c
hex267237b22

10320313122 has 24 divisors (see below), whose sum is σ = 25555061376. Its totient is φ = 2948660856.

The previous prime is 10320313111. The next prime is 10320313139. The reversal of 10320313122 is 22131302301.

10320313122 is a `hidden beast` number, since 1 + 0 + 320 + 31 + 312 + 2 = 666.

10320313122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103203131222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10320313095 and 10320313104.

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 11 ways as a sum of consecutive naturals, for example, 40953498 + ... + 40953749.

It is an arithmetic number, because the mean of its divisors is an integer number (1064794224).

Almost surely, 210320313122 is an apocalyptic number.

10320313122 is an abundant number, since it is smaller than the sum of its proper divisors (15234748254).

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

10320313122 is a wasteful number, since it uses less digits than its factorization.

10320313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81907262 (or 81907259 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10320313122 its reverse (22131302301), we get a palindrome (32451615423).

The spelling of 10320313122 in words is "ten billion, three hundred twenty million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 81907247 163814494 245721741 491443482 573350729 737165223 1146701458 1474330446 1720052187 3440104374 5160156561 10320313122