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102212012019 = 31310188329387
BaseRepresentation
bin101111100110001001…
…1111000011111110011
3100202211022221012021210
41133030103320133303
53133312233341034
6114542222051203
710245623524065
oct1371423703763
9322738835253
10102212012019
113a39101a507
1217986719b03
13983bb886b0
144d38b47735
1529d352a8e9
hex17cc4f87f3

102212012019 has 32 divisors (see below), whose sum is σ = 148392002304. Its totient is φ = 62204284800.

The previous prime is 102212012017. The next prime is 102212012047. The reversal of 102212012019 is 910210212201.

It is not a de Polignac number, because 102212012019 - 21 = 102212012017 is a prime.

It is a super-2 number, since 2×1022120120192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212011986 and 102212012004.

It is not an unprimeable number, because it can be changed into a prime (102212012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3463444 + ... + 3492830.

It is an arithmetic number, because the mean of its divisors is an integer number (4637250072).

Almost surely, 2102212012019 is an apocalyptic number.

102212012019 is a deficient number, since it is larger than the sum of its proper divisors (46179990285).

102212012019 is a wasteful number, since it uses less digits than its factorization.

102212012019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30387.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 102212012019 in words is "one hundred two billion, two hundred twelve million, twelve thousand, nineteen".

Divisors: 1 3 13 39 101 303 883 1313 2649 3939 11479 29387 34437 88161 89183 267549 382031 1146093 1159379 2968087 3478137 8904261 25948721 38585131 77846163 115755393 337333373 1012000119 2620820821 7862462463 34070670673 102212012019