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2112153138 = 23353737999
BaseRepresentation
bin111110111100100…
…1110011000110010
312110012101111102000
41331321032120302
513311202400023
6545330434430
7103225001604
oct17571163062
95405344360
102112153138
11994289a07
124ab432a16
13278784774
14160731174
15c5668243
hex7de4e632

2112153138 has 32 divisors (see below), whose sum is σ = 4782240000. Its totient is φ = 690766128.

The previous prime is 2112153137. The next prime is 2112153149. The reversal of 2112153138 is 8313512112.

2112153138 is a `hidden beast` number, since 2 + 1 + 121 + 531 + 3 + 8 = 666.

It is a super-2 number, since 2×21121531382 = 8922381756726494088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2112153137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366138 + ... + 371861.

It is an arithmetic number, because the mean of its divisors is an integer number (149445000).

Almost surely, 22112153138 is an apocalyptic number.

2112153138 is an abundant number, since it is smaller than the sum of its proper divisors (2670086862).

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

2112153138 is a wasteful number, since it uses less digits than its factorization.

2112153138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738063 (or 738057 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 2112153138 is about 45958.1672611082. The cubic root of 2112153138 is about 1283.0447410590.

The spelling of 2112153138 in words is "two billion, one hundred twelve million, one hundred fifty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 737999 1475998 2213997 4427994 6641991 13283982 19925973 39113947 39851946 78227894 117341841 234683682 352025523 704051046 1056076569 2112153138