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102202211220021 = 3311627015488193
BaseRepresentation
bin10111001111001111001110…
…011111101011101000110101
3111101212102202211020200101000
4113033033032133223220311
5101343440112033020041
61001211014143553513
730345603032514033
oct2717171637535065
9441772684220330
10102202211220021
112a623794911520
12b5675818bb899
13450481cb58aa3
141b34883301553
15bc37a9e07bb6
hex5cf3ce7eba35

102202211220021 has 32 divisors (see below), whose sum is σ = 165177955290240. Its totient is φ = 61939734912000.

The previous prime is 102202211219951. The next prime is 102202211220023. The reversal of 102202211220021 is 120022112202201.

It is a happy number.

102202211220021 is a `hidden beast` number, since 1 + 0 + 220 + 221 + 1 + 2 + 200 + 21 = 666.

It is not a de Polignac number, because 102202211220021 - 210 = 102202211218997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102202211219976 and 102202211220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202211220023) 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, 15878101 + ... + 21366293.

It is an arithmetic number, because the mean of its divisors is an integer number (5161811102820).

Almost surely, 2102202211220021 is an apocalyptic number.

102202211220021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202211220021 is a deficient number, since it is larger than the sum of its proper divisors (62975744070219).

102202211220021 is a wasteful number, since it uses less digits than its factorization.

102202211220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550914 (or 5550908 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202211220021 its reverse (120022112202201), we get a palindrome (222224323422222).

The spelling of 102202211220021 in words is "one hundred two trillion, two hundred two billion, two hundred eleven million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 9 11 27 33 99 297 62701 188103 564309 689711 1692927 2069133 5488193 6207399 16464579 18622197 49393737 60370123 148181211 181110369 543331107 1629993321 344115189293 1032345567879 3097036703637 3785267082223 9291110110911 11355801246669 34067403740007 102202211220021