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201012221011122 = 2351528727056021
BaseRepresentation
bin101101101101000111001110…
…000001110110010010110010
3222100201120200022001011200000
4231231013032001312102302
5202321341012034323442
61551303423422410430
760224440140044553
oct5555071601662262
9870646608034600
10201012221011122
1159059893423834
121a665622130a16
1388214a9421c41
14378d08717a32a
151838bc8680d4c
hexb6d1ce0764b2

201012221011122 has 48 divisors (see below), whose sum is σ = 451686651054912. Its totient is φ = 66999688118640.

The previous prime is 201012221011109. The next prime is 201012221011157. The reversal of 201012221011122 is 221110122210102.

201012221011122 is a `hidden beast` number, since 201 + 0 + 122 + 210 + 11 + 122 = 666.

201012221011122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 201012221011095 and 201012221011104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6098529 + ... + 20957492.

It is an arithmetic number, because the mean of its divisors is an integer number (9410138563644).

Almost surely, 2201012221011122 is an apocalyptic number.

201012221011122 is an abundant number, since it is smaller than the sum of its proper divisors (250674430043790).

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

201012221011122 is a wasteful number, since it uses less digits than its factorization.

201012221011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27071325 (or 27071313 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201012221011122 its reverse (221110122210102), we get a palindrome (422122343221224).

The spelling of 201012221011122 in words is "two hundred one trillion, twelve billion, two hundred twenty-one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 15287 30574 45861 91722 137583 275166 412749 825498 1238247 2476494 3714741 7429482 27056021 54112042 81168063 162336126 243504189 487008378 730512567 1461025134 2191537701 4383075402 6574613103 13149226206 413605393027 827210786054 1240816179081 2481632358162 3722448537243 7444897074486 11167345611729 22334691223458 33502036835187 67004073670374 100506110505561 201012221011122