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102212122111209 = 33112371210746209
BaseRepresentation
bin10111001111011000011101…
…001110101110110011101001
3111101220101100112100010012000
4113033120131032232303221
5101344120411230024314
61001215333424441213
730346403445634365
oct2717303516566351
9441811315303160
10102212122111209
112a627a102a3790
12b569488a79209
13450573c246b46
141b351436aa2a5
15bc3b8a063209
hex5cf61d3aece9

102212122111209 has 64 divisors (see below), whose sum is σ = 174801336422400. Its totient is φ = 58418848857600.

The previous prime is 102212122111189. The next prime is 102212122111219. The reversal of 102212122111209 is 902111221212201.

102212122111209 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 1 + 221 + 11 + 209 = 666.

It is not a de Polignac number, because 102212122111209 - 28 = 102212122110953 is a prime.

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 (102212122111219) 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, 104888104 + ... + 105858105.

It is an arithmetic number, because the mean of its divisors is an integer number (2731270881600).

Almost surely, 2102212122111209 is an apocalyptic number.

It is an amenable number.

102212122111209 is a deficient number, since it is larger than the sum of its proper divisors (72589214311191).

102212122111209 is a wasteful number, since it uses less digits than its factorization.

102212122111209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210746323 (or 210746317 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 102212122111209 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, two hundred nine".

Divisors: 1 3 9 11 23 27 33 69 71 99 207 213 253 297 621 639 759 781 1633 1917 2277 2343 4899 6831 7029 14697 17963 21087 44091 53889 161667 485001 210746209 632238627 1896715881 2318208299 4847162807 5690147643 6954624897 14541488421 14962980839 20863874691 43624465263 44888942517 53318790877 62591624073 130873395789 134666827551 159956372631 164592789229 344148559297 404000482653 479869117893 493778367687 1032445677891 1439607353679 1481335103061 3097337033673 3785634152267 4444005309183 9292011101019 11356902456801 34070707370403 102212122111209