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102212010202122 = 234630938334581
BaseRepresentation
bin10111001111011000010110…
…100011110101010000001010
3111101220101001201202112210000
4113033120112203311100022
5101344120144102431442
61001215314350103430
730346400616502002
oct2717302643652012
9441811051675700
10102212010202122
112a627963108837
12b5694574aab76
134505721cc3852
141b35132899002
15bc3b80309d4c
hex5cf6168f540a

102212010202122 has 20 divisors (see below), whose sum is σ = 229030615453266. Its totient is φ = 34070670067320.

The previous prime is 102212010202091. The next prime is 102212010202189. The reversal of 102212010202122 is 221202010212201.

It is a happy number.

102212010202122 is a `hidden beast` number, since 10 + 221 + 201 + 0 + 20 + 212 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74507988503601 + 27704021698521 = 8631801^2 + 5263461^2 .

It is a super-2 number, since 2×1022120102021222 (a number of 29 digits) contains 22 as substring.

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 = 102212010202095 and 102212010202104.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 315469167129 + ... + 315469167452.

Almost surely, 2102212010202122 is an apocalyptic number.

102212010202122 is an abundant number, since it is smaller than the sum of its proper divisors (126818605251144).

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

102212010202122 is an equidigital number, since it uses as much as digits as its factorization.

102212010202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630938334595 (or 630938334586 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212010202122 its reverse (221202010212201), we get a palindrome (323414020414323).

The spelling of 102212010202122 in words is "one hundred two trillion, two hundred twelve billion, ten million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 630938334581 1261876669162 1892815003743 3785630007486 5678445011229 11356890022458 17035335033687 34070670067374 51106005101061 102212010202122