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220100120102112 = 25337336749167261
BaseRepresentation
bin110010000010111000001101…
…011110010100010011100000
31001212022100212210201201121020
4302002320031132110103200
5212322110021221231422
62100040333240525440
764234465105223025
oct6202701536242340
91055270783651536
10220100120102112
1164148a33887a28
1220828a64a80880
1395a7476c13893
143c4cc8cc4754c
151a6a49898595c
hexc82e0d7944e0

220100120102112 has 96 divisors (see below), whose sum is σ = 579331004868000. Its totient is φ = 73167584593920.

The previous prime is 220100120102081. The next prime is 220100120102117. The reversal of 220100120102112 is 211201021001022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 220100120102091 and 220100120102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100120102117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315824562 + ... + 1315991822.

It is an arithmetic number, because the mean of its divisors is an integer number (6034697967375).

Almost surely, 2220100120102112 is an apocalyptic number.

It is an amenable number.

220100120102112 is an abundant number, since it is smaller than the sum of its proper divisors (359230884765888).

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

220100120102112 is a wasteful number, since it uses less digits than its factorization.

220100120102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204396 (or 204388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220100120102112 its reverse (211201021001022), we get a palindrome (431301141103134).

The spelling of 220100120102112 in words is "two hundred twenty trillion, one hundred billion, one hundred twenty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 373 746 1119 1492 2238 2984 4476 5968 8952 11936 17904 35808 36749 73498 110247 146996 167261 220494 293992 334522 440988 501783 587984 669044 881976 1003566 1175968 1338088 1763952 2007132 2676176 3527904 4014264 5352352 8028528 13707377 16057056 27414754 41122131 54829508 62388353 82244262 109659016 124776706 164488524 187165059 219318032 249553412 328977048 374330118 438636064 499106824 657954096 748660236 998213648 1315908192 1497320472 1996427296 2994640944 5989281888 6146674489 12293348978 18440023467 24586697956 36880046934 49173395912 73760093868 98346791824 147520187736 196693583648 295040375472 590080750944 2292709584397 4585419168794 6878128753191 9170838337588 13756257506382 18341676675176 27512515012764 36683353350352 55025030025528 73366706700704 110050060051056 220100120102112