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102201000222012 = 22331140168291891
BaseRepresentation
bin10111001111001110000110…
…010100000101110100111100
3111101212022122102112121101220
4113033032012110011310330
5101343430122024101022
61001210254044033340
730345531026301426
oct2717160624056474
9441768572477356
10102201000222012
112a62322328381a
12b5672a4232850
134504688cb3713
141b347aa54b816
15bc373894885c
hex5cf386505d3c

102201000222012 has 48 divisors (see below), whose sum is σ = 239832383341824. Its totient is φ = 33872777440000.

The previous prime is 102201000221909. The next prime is 102201000222031. The reversal of 102201000222012 is 210222000102201.

It is a super-3 number, since 3×1022010002220123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201000221982 and 102201000222000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32649414 + ... + 35642477.

It is an arithmetic number, because the mean of its divisors is an integer number (4996507986288).

Almost surely, 2102201000222012 is an apocalyptic number.

102201000222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201000222012 is an abundant number, since it is smaller than the sum of its proper divisors (137631383119812).

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

102201000222012 is a wasteful number, since it uses less digits than its factorization.

102201000222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68292610 (or 68292608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102201000222012 its reverse (210222000102201), we get a palindrome (312423000324213).

The spelling of 102201000222012 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 311 401 622 802 933 1203 1244 1604 1866 2406 3732 4812 124711 249422 374133 498844 748266 1496532 68291891 136583782 204875673 273167564 409751346 819502692 21238778101 27385048291 42477556202 54770096582 63716334303 82155144873 84955112404 109540193164 127432668606 164310289746 254865337212 328620579492 8516750018501 17033500037002 25550250055503 34067000074004 51100500111006 102201000222012