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2122220113029 = 3717269921149
BaseRepresentation
bin11110111000011110001…
…011010000110010000101
321111212211011112220000000
4132320132023100302011
5234232301322104104
64302533502111513
7306216410216142
oct36703613206205
97455734486000
102122220113029
11749034a22765
122a337327b599
131251806a2a93
1474a049cb3c9
153a30cd24639
hex1ee1e2d0c85

2122220113029 has 64 divisors (see below), whose sum is σ = 3371479200000. Its totient is φ = 1331032787712.

The previous prime is 2122220113021. The next prime is 2122220113081. The reversal of 2122220113029 is 9203110222212.

2122220113029 is a `hidden beast` number, since 2 + 122 + 220 + 11 + 302 + 9 = 666.

It is not a de Polignac number, because 2122220113029 - 23 = 2122220113021 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2122220112993 and 2122220113011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122220113021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100335547 + ... + 100356695.

It is an arithmetic number, because the mean of its divisors is an integer number (52679362500).

Almost surely, 22122220113029 is an apocalyptic number.

It is an amenable number.

2122220113029 is a deficient number, since it is larger than the sum of its proper divisors (1249259086971).

2122220113029 is an equidigital number, since it uses as much as digits as its factorization.

2122220113029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23886 (or 23868 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2122220113029 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, one hundred thirteen thousand, twenty-nine".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 2187 2699 4131 8097 12393 21149 24291 37179 45883 63447 72873 137649 190341 218619 359533 412947 571023 655857 1078599 1238841 1713069 1967571 3235797 3716523 5139207 5902713 9707391 11149569 15417621 29122173 33448707 46252863 57081151 87366519 100346121 171243453 262099557 513730359 786298671 970379567 1541191077 2911138701 4623573231 8733416103 13870719693 26200248309 41612159079 78600744927 124836477237 235802234781 707406704343 2122220113029