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212023123128 = 23332014348731
BaseRepresentation
bin1100010101110110010…
…0000001110010111000
3202021021020220121211000
43011131210001302320
511433210404420003
6241222503205000
721214062545055
oct3053544016270
9667236817730
10212023123128
1181a115865a3
1235112146760
1316cbc1bb80b
14a394bdc02c
1557adc611a3
hex315d901cb8

212023123128 has 64 divisors (see below), whose sum is σ = 588994444800. Its totient is φ = 70669415520.

The previous prime is 212023123127. The next prime is 212023123139. The reversal of 212023123128 is 821321320212.

212023123128 is a `hidden beast` number, since 21 + 202 + 312 + 3 + 128 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212023123127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4326523 + ... + 4375253.

It is an arithmetic number, because the mean of its divisors is an integer number (9203038200).

Almost surely, 2212023123128 is an apocalyptic number.

It is an amenable number.

212023123128 is an abundant number, since it is smaller than the sum of its proper divisors (376971321672).

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

212023123128 is a wasteful number, since it uses less digits than its factorization.

212023123128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68889 (or 68879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 212023123128 in words is "two hundred twelve billion, twenty-three million, one hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 20143 40286 48731 60429 80572 97462 120858 146193 161144 181287 194924 241716 292386 362574 389848 438579 483432 543861 584772 725148 877158 1087722 1169544 1315737 1450296 1754316 2175444 2631474 3508632 4350888 5262948 10525896 981588533 1963177066 2944765599 3926354132 5889531198 7852708264 8834296797 11779062396 17668593594 23558124792 26502890391 35337187188 53005780782 70674374376 106011561564 212023123128