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123310331656164 = 223224192915299041
BaseRepresentation
bin11100000010011001101100…
…100000111111011111100100
3121011121100112000210211222200
4130002121230200333133210
5112130304024400444124
61114131552340454500
734654606654042302
oct3402315440773744
9534540460724880
10123310331656164
11363216885873a4
12119b64506aa430
1353a61643a8493
1422643752c1272
15e3c8b85c9bc9
hex70266c83f7e4

123310331656164 has 72 divisors (see below), whose sum is σ = 313331417719320. Its totient is φ = 40888826265600.

The previous prime is 123310331656123. The next prime is 123310331656189. The reversal of 123310331656164 is 461656133013321.

It is a happy number.

123310331656164 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 10 + 3 + 3 + 16 + 5 + 616 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1244117160000 + 122066214496164 = 1115400^2 + 11048358^2 .

It is a super-2 number, since 2×1233103316561642 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410484 + ... + 15709524.

Almost surely, 2123310331656164 is an apocalyptic number.

It is an amenable number.

123310331656164 is an abundant number, since it is smaller than the sum of its proper divisors (190021086063156).

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

123310331656164 is a wasteful number, since it uses less digits than its factorization.

123310331656164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300221 (or 15300216 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

Adding to 123310331656164 its reverse (461656133013321), we get a palindrome (584966464669485).

The spelling of 123310331656164 in words is "one hundred twenty-three trillion, three hundred ten billion, three hundred thirty-one million, six hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 929 964 1446 1858 2169 2787 2892 3716 4338 5574 8361 8676 11148 16722 33444 223889 447778 671667 895556 1343334 2015001 2686668 4030002 8060004 15299041 30598082 45897123 61196164 91794246 137691369 183588492 275382738 550765476 3687068881 7374137762 11061206643 14212809089 14748275524 22122413286 28425618178 33183619929 42638427267 44244826572 56851236356 66367239858 85276854534 127915281801 132734479716 170553709068 255830563602 511661127204 3425286990449 6850573980898 10275860971347 13701147961796 20551721942694 30827582914041 41103443885388 61655165828082 123310331656164