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10012331220 = 22351755717623
BaseRepresentation
bin10010101001100100…
…00000110011010100
3221211202222010101020
421110302000303110
5131001124044340
64333303001140
7503054261013
oct112462006324
927752863336
1010012331220
114278777701
121b351391b0
13c37417158
146ada52a7a
153d8ee69d0
hex254c80cd4

10012331220 has 96 divisors (see below), whose sum is σ = 29738596608. Its totient is φ = 2508244992.

The previous prime is 10012331183. The next prime is 10012331221. The reversal of 10012331220 is 2213321001.

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 10012331220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012331221) by changing a digit.

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, 559329 + ... + 576951.

It is an arithmetic number, because the mean of its divisors is an integer number (309777048).

Almost surely, 210012331220 is an apocalyptic number.

10012331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869298304).

10012331220 is an abundant number, since it is smaller than the sum of its proper divisors (19726265388).

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

10012331220 is a wasteful number, since it uses less digits than its factorization.

10012331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18209 (or 18207 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10012331220 its reverse (2213321001), we get a palindrome (12225652221).

The spelling of 10012331220 in words is "ten billion, twelve million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 557 1020 1114 1671 2228 2785 3342 5570 6684 8355 9469 11140 16710 17623 18938 28407 33420 35246 37876 47345 52869 56814 70492 88115 94690 105738 113628 142035 176230 189380 211476 264345 284070 299591 352460 528690 568140 599182 898773 1057380 1198364 1497955 1797546 2995910 3595092 4493865 5991820 8987730 9816011 17975460 19632022 29448033 39264044 49080055 58896066 98160110 117792132 147240165 166872187 196320220 294480330 333744374 500616561 588960660 667488748 834360935 1001233122 1668721870 2002466244 2503082805 3337443740 5006165610 10012331220