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10166700132 = 22321237228301
BaseRepresentation
bin10010111011111101…
…11000100001100100
3222020112102212201100
421131332320201210
5131310133401012
64400455400100
7506640345111
oct113576704144
928215385640
1010166700132
114347923316
121b78983030
13c603b57c4
146c6357908
153e783a8dc
hex25dfb8864

10166700132 has 36 divisors (see below), whose sum is σ = 25720046716. Its totient is φ = 3386145600.

The previous prime is 10166700127. The next prime is 10166700149. The reversal of 10166700132 is 23100766101.

It can be written as a sum of positive squares in 2 ways, for example, as 6623355456 + 3543344676 = 81384^2 + 59526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10166700096 and 10166700105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69619 + ... + 158682.

Almost surely, 210166700132 is an apocalyptic number.

10166700132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10166700132 is an abundant number, since it is smaller than the sum of its proper divisors (15553346584).

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

10166700132 is a wasteful number, since it uses less digits than its factorization.

10166700132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229548 (or 229543 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10166700132 in words is "ten billion, one hundred sixty-six million, seven hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1237 2474 3711 4948 7422 11133 14844 22266 44532 228301 456602 684903 913204 1369806 2054709 2739612 4109418 8218836 282408337 564816674 847225011 1129633348 1694450022 2541675033 3388900044 5083350066 10166700132