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10101132120 = 2335109776733
BaseRepresentation
bin10010110100001001…
…10000101101011000
3222001222001200022110
421122010300231120
5131141342211440
64350154152320
7505213130532
oct113204605530
928058050273
1010101132120
11431390a082
121b5aa226a0
13c4c939371
146bb76a852
153e1bd8080
hex25a130b58

10101132120 has 64 divisors (see below), whose sum is σ = 30331415520. Its totient is φ = 2691144704.

The previous prime is 10101132073. The next prime is 10101132143. The reversal of 10101132120 is 2123110101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10101132096 and 10101132105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93274 + ... + 170006.

Almost surely, 210101132120 is an apocalyptic number.

10101132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101132120 is an abundant number, since it is smaller than the sum of its proper divisors (20230283400).

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

10101132120 is a wasteful number, since it uses less digits than its factorization.

10101132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77844 (or 77840 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10101132120 its reverse (2123110101), we get a palindrome (12224242221).

The spelling of 10101132120 in words is "ten billion, one hundred one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1097 2194 3291 4388 5485 6582 8776 10970 13164 16455 21940 26328 32910 43880 65820 76733 131640 153466 230199 306932 383665 460398 613864 767330 920796 1150995 1534660 1841592 2301990 3069320 4603980 9207960 84176101 168352202 252528303 336704404 420880505 505056606 673408808 841761010 1010113212 1262641515 1683522020 2020226424 2525283030 3367044040 5050566060 10101132120