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102111210012222 = 23229210763040717
BaseRepresentation
bin10111001101111010011110…
…011001100111111000111110
3111101112201212210102100100100
4113031322132121213320332
5101340442224230342342
61001101124200141530
730336201655146225
oct2715723631477076
9441481783370310
10102111210012222
112a599137022174
12b551a057678a6
1344c9079795978
141b302cd45dcbc
15bc1230c0be4c
hex5cde9e667e3e

102111210012222 has 72 divisors (see below), whose sum is σ = 231274456172136. Its totient is φ = 32556243045312.

The previous prime is 102111210012209. The next prime is 102111210012233. The reversal of 102111210012222 is 222210012111201.

102111210012222 is a `hidden beast` number, since 10 + 211 + 1 + 210 + 0 + 12 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102111210012195 and 102111210012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29900593 + ... + 33140124.

It is an arithmetic number, because the mean of its divisors is an integer number (3212145224613).

Almost surely, 2102111210012222 is an apocalyptic number.

102111210012222 is an abundant number, since it is smaller than the sum of its proper divisors (129163246159914).

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

102111210012222 is a wasteful number, since it uses less digits than its factorization.

102111210012222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63040890 (or 63040858 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102111210012222 its reverse (222210012111201), we get a palindrome (324321222123423).

The spelling of 102111210012222 in words is "one hundred two trillion, one hundred eleven billion, two hundred ten million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 107 174 214 261 321 522 642 841 963 1682 1926 2523 3103 5046 6206 7569 9309 15138 18618 27927 55854 89987 179974 269961 539922 809883 1619766 63040717 126081434 189122151 378244302 567366453 1134732906 1828180793 3656361586 5484542379 6745356719 10969084758 13490713438 16453627137 20236070157 32907254274 40472140314 53017242997 60708210471 106034485994 121416420942 159051728991 195615344851 318103457982 391230689702 477155186973 586846034553 954310373946 1173692069106 1760538103659 3521076207318 5672845000679 11345690001358 17018535002037 34037070004074 51055605006111 102111210012222