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211002101121 = 3723197557857
BaseRepresentation
bin1100010010000010110…
…1001000110110000001
3202011122002200022221010
43010200231020312001
511424113014213441
6240533311151133
721146554160400
oct3044055106601
9664562608833
10211002101121
1181538204659
1234a882154a9
1316b88800c96
14a2d937b637
15574e2cb116
hex3120b48d81

211002101121 has 96 divisors (see below), whose sum is σ = 342320090112. Its totient is φ = 115138437120.

The previous prime is 211002101119. The next prime is 211002101147. The reversal of 211002101121 is 121101200112.

It is not a de Polignac number, because 211002101121 - 21 = 211002101119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211002101097 and 211002101106.

It is not an unprimeable number, because it can be changed into a prime (211002101021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246209725 + ... + 246210581.

It is an arithmetic number, because the mean of its divisors is an integer number (3565834272).

Almost surely, 2211002101121 is an apocalyptic number.

211002101121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211002101121 is a deficient number, since it is larger than the sum of its proper divisors (131317988991).

211002101121 is a wasteful number, since it uses less digits than its factorization.

211002101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211002101121 its reverse (121101200112), we get a palindrome (332103301233).

The spelling of 211002101121 in words is "two hundred eleven billion, two million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 7 21 31 49 93 97 147 217 291 557 651 679 857 1519 1671 2037 2571 3007 3899 4557 4753 5999 9021 11697 14259 17267 17997 21049 26567 27293 41993 51801 54029 63147 79701 81879 83129 120869 125979 147343 162087 185969 249387 362607 378203 442029 477349 557907 581903 846083 1134609 1301783 1432047 1674899 1745709 2538249 2576999 2647421 3341443 3905349 4073321 5024697 7730997 7942263 10024329 11724293 12219963 14797819 18038993 23390101 35172879 44393457 46302853 54116979 70170303 82070051 103584733 126272951 138908559 246210153 310754199 324119971 378818853 725093131 972359913 1435388443 2175279393 2268839797 4306165329 6806519391 10047719101 30143157303 70334033707 211002101121