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10312303122 = 23211173379091
BaseRepresentation
bin10011001101010100…
…10100001000010010
3222121200102021110200
421212222110020102
5132104422144442
64423140240030
7513356062452
oct114652241022
928550367420
1010312303122
114412031a70
121bb96a0016
13c84605214
146db819d62
154054ec34c
hex266a94212

10312303122 has 96 divisors (see below), whose sum is σ = 25887760704. Its totient is φ = 2932070400.

The previous prime is 10312303103. The next prime is 10312303147. The reversal of 10312303122 is 22130321301.

10312303122 is a `hidden beast` number, since 10 + 312 + 30 + 312 + 2 = 666.

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 = 10312303095 and 10312303104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129797 + ... + 1138887.

It is an arithmetic number, because the mean of its divisors is an integer number (269664174).

Almost surely, 210312303122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312303122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943880352).

10312303122 is an abundant number, since it is smaller than the sum of its proper divisors (15575457582).

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

10312303122 is a wasteful number, since it uses less digits than its factorization.

10312303122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464 (or 9461 counting only the distinct ones).

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

Adding to 10312303122 its reverse (22130321301), we get a palindrome (32442624423).

The spelling of 10312303122 in words is "ten billion, three hundred twelve million, three hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 337 374 561 674 1011 1122 1683 2022 3033 3366 3707 5729 6066 7414 9091 11121 11458 17187 18182 22242 27273 33363 34374 51561 54546 63019 66726 81819 100001 103122 126038 154547 163638 189057 200002 300003 309094 378114 463641 567171 600006 900009 927282 1134342 1390923 1700017 1800018 2781846 3063667 3400034 5100051 6127334 9191001 10200102 15300153 18382002 27573003 30600306 33700337 52082339 55146006 67400674 101101011 104164678 156247017 202202022 303303033 312494034 468741051 572905729 606606066 937482102 1145811458 1718717187 3437434374 5156151561 10312303122