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20102112221202 = 23211314003818143
BaseRepresentation
bin1001001001000011000110…
…10000100001100000010010
32122011202001202121210200100
410210201203100201200102
510113323111212034302
6110430441033233230
74143221036414454
oct444414320414022
978152052553610
1020102112221202
1164502923191a0
122307b10862816
13b2a80c59cbbb
144d6d39a2a2d4
1524cd7e74dd1c
hex124863421812

20102112221202 has 96 divisors (see below), whose sum is σ = 49059108274176. Its totient is φ = 5893567711200.

The previous prime is 20102112221179. The next prime is 20102112221203. The reversal of 20102112221202 is 20212221120102.

It is a happy number.

20102112221202 is a `hidden beast` number, since 20 + 10 + 211 + 2 + 221 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20102112221203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24161343 + ... + 24979485.

It is an arithmetic number, because the mean of its divisors is an integer number (511032377856).

Almost surely, 220102112221202 is an apocalyptic number.

20102112221202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102112221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24529554137088).

20102112221202 is an abundant number, since it is smaller than the sum of its proper divisors (28956996052974).

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

20102112221202 is a wasteful number, since it uses less digits than its factorization.

20102112221202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822196 (or 822193 counting only the distinct ones).

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

Adding to 20102112221202 its reverse (20212221120102), we get a palindrome (40314333341304).

The spelling of 20102112221202 in words is "twenty trillion, one hundred two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 4003 6138 8006 12009 24018 36027 44033 72054 88066 124093 132099 248186 264198 372279 396297 744558 792594 818143 1116837 1365023 1636286 2233674 2454429 2730046 4095069 4908858 7363287 8190138 8999573 12285207 14726574 17999146 24570414 25362433 26998719 50724866 53997438 76087299 80996157 152174598 161992314 228261897 278986763 456523794 557973526 836960289 1673920578 2510880867 3275026429 5021761734 6550052858 9825079287 19650158574 29475237861 36025290719 58950475722 72050581438 101525819299 108075872157 203051638598 216151744314 304577457897 324227616471 609154915794 648455232942 913732373691 1116784012289 1827464747382 2233568024578 3350352036867 6700704073734 10051056110601 20102112221202