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102210120002212 = 22296514113526377
BaseRepresentation
bin10111001111010110100101…
…111001010010101010100100
3111101220012012000000102221221
4113033112211321102222210
5101344102311210032322
61001214403024350124
730346303025200045
oct2717264571225244
9441805160012857
10102210120002212
112a627083146652
12b56900a475344
1345054b0511871
141b34dd38228cc
15bc3abe3d59c7
hex5cf5a5e52aa4

102210120002212 has 24 divisors (see below), whose sum is σ = 185038416291960. Its totient is φ = 49342055427840.

The previous prime is 102210120002209. The next prime is 102210120002219. The reversal of 102210120002212 is 212200021012201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64319373444096 + 37890746558116 = 8019936^2 + 6155546^2 .

It is a super-3 number, since 3×1022101200022123 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102210120002219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793168 + ... + 14319544.

It is an arithmetic number, because the mean of its divisors is an integer number (7709934012165).

Almost surely, 2102210120002212 is an apocalyptic number.

It is an amenable number.

102210120002212 is a deficient number, since it is larger than the sum of its proper divisors (82828296289748).

102210120002212 is a wasteful number, since it uses less digits than its factorization.

102210120002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13591551 (or 13591549 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102210120002212 its reverse (212200021012201), we get a palindrome (314410141014413).

The spelling of 102210120002212 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty million, two thousand, two hundred twelve".

Divisors: 1 2 4 29 58 116 65141 130282 260564 1889089 3778178 7556356 13526377 27052754 54105508 392264933 784529866 1569059732 881121724157 1762243448314 3524486896628 25552530000553 51105060001106 102210120002212