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10202132220 = 2235723470113
BaseRepresentation
bin10011000000001100…
…00010111011111100
3222100000010000101220
421200012002323330
5131343221212340
64404203033340
7510550456500
oct114006027374
928300100356
1010202132220
114365923a35
121b8880b850
13c67840137
146cad3c300
153ea9d8ed0
hex260182efc

10202132220 has 72 divisors (see below), whose sum is σ = 33229811664. Its totient is φ = 2331915264.

The previous prime is 10202132203. The next prime is 10202132231. The reversal of 10202132220 is 2223120201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202132220.

It is a congruent number.

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, 1732117 + ... + 1737996.

It is an arithmetic number, because the mean of its divisors is an integer number (461525162).

Almost surely, 210202132220 is an apocalyptic number.

10202132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202132220 is an abundant number, since it is smaller than the sum of its proper divisors (23027679444).

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

10202132220 is a wasteful number, since it uses less digits than its factorization.

10202132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470139 (or 3470130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10202132220 its reverse (2223120201), we get a palindrome (12425252421).

The spelling of 10202132220 in words is "ten billion, two hundred two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3470113 6940226 10410339 13880452 17350565 20820678 24290791 34701130 41641356 48581582 52051695 69402260 72872373 97163164 104103390 121453955 145744746 170035537 208206780 242907910 291489492 340071074 364361865 485815820 510106611 680142148 728723730 850177685 1020213222 1457447460 1700355370 2040426444 2550533055 3400710740 5101066110 10202132220