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102122022001220 = 22513419579927017
BaseRepresentation
bin10111001110000100100010…
…110110000101101001000100
3111101120202210022002021222022
4113032010202312011221010
5101341131400113014340
61001110113110422312
730340033622430104
oct2716044266055104
9441522708067868
10102122022001220
112a5a2785116571
12b553b22661998
1344ca0b0772cb0
141b30a3738d204
15bc166500e3b5
hex5ce122d85a44

102122022001220 has 48 divisors (see below), whose sum is σ = 236585877636528. Its totient is φ = 36786919741440.

The previous prime is 102122022001211. The next prime is 102122022001247. The reversal of 102122022001220 is 22100220221201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41621284519936 + 60500737481284 = 6451456^2 + 7778222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789952849 + ... + 4789974168.

It is an arithmetic number, because the mean of its divisors is an integer number (4928872450761).

Almost surely, 2102122022001220 is an apocalyptic number.

102122022001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122022001220 is an abundant number, since it is smaller than the sum of its proper divisors (134463855635308).

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

102122022001220 is a wasteful number, since it uses less digits than its factorization.

102122022001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9579927080 (or 9579927078 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102122022001220 its reverse (22100220221201), we get a palindrome (124222242222421).

The spelling of 102122022001220 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 9579927017 19159854034 38319708068 47899635085 95799270170 124539051221 191598540340 249078102442 392777007697 498156204884 622695256105 785554015394 1245390512210 1571108030788 1963885038485 2490781024420 3927770076970 5106101100061 7855540153940 10212202200122 20424404400244 25530505500305 51061011000610 102122022001220