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10220013102 = 23133119122129
BaseRepresentation
bin10011000010010100…
…10000011000101110
3222101020202110100210
421201022100120232
5131412310404402
64410042203250
7511155451365
oct114112203056
928336673323
1010220013102
114374a27122
121b927b3526
13c6b460b40
146cd4747dc
153ec36c06c
hex26129062e

10220013102 has 64 divisors (see below), whose sum is σ = 22842408960. Its totient is φ = 3027110400.

The previous prime is 10220013073. The next prime is 10220013119. The reversal of 10220013102 is 20131002201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450774 + ... + 472902.

It is an arithmetic number, because the mean of its divisors is an integer number (356912640).

Almost surely, 210220013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11421204480).

10220013102 is an abundant number, since it is smaller than the sum of its proper divisors (12622395858).

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

10220013102 is a wasteful number, since it uses less digits than its factorization.

10220013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22369.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10220013102 its reverse (20131002201), we get a palindrome (30351015303).

The spelling of 10220013102 in words is "ten billion, two hundred twenty million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 191 382 403 573 806 1146 1209 2418 2483 4966 5921 7449 11842 14898 17763 22129 35526 44258 66387 76973 132774 153946 230919 287677 461838 575354 685999 863031 1371998 1726062 2057997 4115994 4226639 8453278 8917987 12679917 17835974 25359834 26753961 53507922 54946307 109892614 131025809 164838921 262051618 329677842 393077427 786154854 1703335517 3406671034 5110006551 10220013102