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201220011012 = 223173761743207
BaseRepresentation
bin1011101101100110100…
…1011011010000000100
3201020101100221122222110
42323121221123100010
511244044310323022
6232234511101020
720352263605266
oct2733151332004
9636340848873
10201220011012
11783784a5569
1232bb8211770
1315c89ccba97
149a4c13db36
15537a61400c
hex2ed9a5b404

201220011012 has 96 divisors (see below), whose sum is σ = 511407122688. Its totient is φ = 61320720384.

The previous prime is 201220010987. The next prime is 201220011019. The reversal of 201220011012 is 210110022102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201220011019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4635513 + ... + 4678719.

It is an arithmetic number, because the mean of its divisors is an integer number (5327157528).

Almost surely, 2201220011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255703561344).

201220011012 is an abundant number, since it is smaller than the sum of its proper divisors (310187111676).

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

201220011012 is a wasteful number, since it uses less digits than its factorization.

201220011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43885 (or 43883 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201220011012 its reverse (210110022102), we get a palindrome (411330033114).

The spelling of 201220011012 in words is "two hundred one billion, two hundred twenty million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 617 629 1234 1258 1851 1887 2468 2516 3702 3774 7404 7548 10489 20978 22829 31467 41956 43207 45658 62934 68487 86414 91316 125868 129621 136974 172828 259242 273948 388093 518484 734519 776186 1164279 1469038 1552372 1598659 2203557 2328558 2938076 3197318 4407114 4657116 4795977 6394636 8814228 9591954 19183908 26658719 27177203 53317438 54354406 79976157 81531609 106634876 108708812 159952314 163063218 319904628 326126436 453198223 906396446 986372603 1359594669 1812792892 1972745206 2719189338 2959117809 3945490412 5438378676 5918235618 11836471236 16768334251 33536668502 50305002753 67073337004 100610005506 201220011012