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211211000102120 = 23550723104100211
BaseRepresentation
bin110000000001100001100100…
…101000100011110011101000
31000200211120111202012111200212
4300001201210220203303220
5210140440112011231440
62025112554405320252
762326330323004544
oct6001414450436350
91020746452174625
10211211000102120
116133109a330a47
121b832134706088
1390b115b964065
143a2294a176a24
15196413977c465
hexc01864a23ce8

211211000102120 has 32 divisors (see below), whose sum is σ = 475234123813920. Its totient is φ = 84482733625920.

The previous prime is 211211000102083. The next prime is 211211000102237. The reversal of 211211000102120 is 21201000112112.

It is a super-2 number, since 2×2112110001021202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211000102095 and 211211000102104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50021186 + ... + 54079025.

It is an arithmetic number, because the mean of its divisors is an integer number (14851066369185).

Almost surely, 2211211000102120 is an apocalyptic number.

211211000102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211000102120 is an abundant number, since it is smaller than the sum of its proper divisors (264023123711800).

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

211211000102120 is a wasteful number, since it uses less digits than its factorization.

211211000102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104150945 (or 104150941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211000102120 its reverse (21201000112112), we get a palindrome (232412000214232).

The spelling of 211211000102120 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 50723 101446 202892 253615 405784 507230 1014460 2028920 104100211 208200422 416400844 520501055 832801688 1041002110 2082004220 4164008440 5280275002553 10560550005106 21121100010212 26401375012765 42242200020424 52802750025530 105605500051060 211211000102120