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12321106164 = 2232232646981
BaseRepresentation
bin10110111100110010…
…10010100011110100
31011210200100001012100
423132121102203310
5200213200344124
65354340022100
7614220450213
oct133631224364
934720301170
1012321106164
115252a41474
12247a391930
131214842383
1484c52707a
154c1a4d1c9
hex2de6528f4

12321106164 has 54 divisors (see below), whose sum is σ = 32558075186. Its totient is φ = 3928462560.

The previous prime is 12321106163. The next prime is 12321106183. The reversal of 12321106164 is 46160112321.

It is a happy number.

12321106164 is a `hidden beast` number, since 1 + 2 + 32 + 1 + 10 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7654850064 + 4666256100 = 87492^2 + 68310^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321106163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 304447 + ... + 342534.

Almost surely, 212321106164 is an apocalyptic number.

It is an amenable number.

12321106164 is an abundant number, since it is smaller than the sum of its proper divisors (20236969022).

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

12321106164 is a wasteful number, since it uses less digits than its factorization.

12321106164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647037 (or 647009 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12321106164 its reverse (46160112321), we get a palindrome (58481218485).

The spelling of 12321106164 in words is "twelve billion, three hundred twenty-one million, one hundred six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 646981 1293962 1940943 2587924 3881886 5822829 7763772 11645658 14880563 23291316 29761126 44641689 59522252 89283378 133925067 178566756 267850134 342252949 535700268 684505898 1026758847 1369011796 2053517694 3080276541 4107035388 6160553082 12321106164