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10106157120 = 263510527247
BaseRepresentation
bin10010110100101111…
…11011100001000000
3222002022111222022120
421122113323201000
5131144134011440
64350454004240
7505303626633
oct113227734100
928068458276
1010106157120
114316731474
121b60646680
13c509a8637
146bc2b7c1a
153e237bdd0
hex25a5fb840

10106157120 has 56 divisors (see below), whose sum is σ = 32087051904. Its totient is φ = 2694974976.

The previous prime is 10106157073. The next prime is 10106157121. The reversal of 10106157120 is 2175160101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10106157121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5262664 + ... + 5264583.

Almost surely, 210106157120 is an apocalyptic number.

10106157120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106157120 is an abundant number, since it is smaller than the sum of its proper divisors (21980894784).

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

10106157120 is a wasteful number, since it uses less digits than its factorization.

10106157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10527267 (or 10527257 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The spelling of 10106157120 in words is "ten billion, one hundred six million, one hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10527247 21054494 31581741 42108988 52636235 63163482 84217976 105272470 126326964 157908705 168435952 210544940 252653928 315817410 336871904 421089880 505307856 631634820 673743808 842179760 1010615712 1263269640 1684359520 2021231424 2526539280 3368719040 5053078560 10106157120