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212140234109988 = 2232220711113240263
BaseRepresentation
bin110000001111000010111111…
…010010111111010000100100
31000211010102000122221001122100
4300033002333102333100210
5210301201144413004423
62031103513403132100
762453424522520662
oct6017027722772044
91024112018831570
10212140234109988
116165a193741618
121b962247214030
13914a979bab672
143a558dbd71c32
15197d3c3527343
hexc0f0bf4bf424

212140234109988 has 72 divisors (see below), whose sum is σ = 536536852121088. Its totient is φ = 70674716458368.

The previous prime is 212140234109981. The next prime is 212140234110011. The reversal of 212140234109988 is 889901432041212.

212140234109988 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 40 + 23 + 410 + 99 + 88 = 666.

212140234109988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121402341099882 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212140234109981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882829945 + ... + 883070207.

It is an arithmetic number, because the mean of its divisors is an integer number (7451900723904).

Almost surely, 2212140234109988 is an apocalyptic number.

It is an amenable number.

212140234109988 is an abundant number, since it is smaller than the sum of its proper divisors (324396618011100).

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

212140234109988 is a wasteful number, since it uses less digits than its factorization.

212140234109988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253593 (or 253588 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 212140234109988 in words is "two hundred twelve trillion, one hundred forty billion, two hundred thirty-four million, one hundred nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2207 4414 6621 8828 11113 13242 19863 22226 26484 33339 39726 44452 66678 79452 100017 133356 200034 240263 400068 480526 720789 961052 1441578 2162367 2883156 4324734 8649468 24526391 49052782 73579173 98105564 147158346 220737519 294316692 441475038 530260441 882950076 1060520882 1590781323 2121041764 2670042719 3181562646 4772343969 5340085438 6363125292 8010128157 9544687938 10680170876 16020256314 19089375876 24030384471 32040512628 48060768942 96121537884 5892784280833 11785568561666 17678352842499 23571137123332 35356705684998 53035058527497 70713411369996 106070117054994 212140234109988