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10223031312 = 2432135461021
BaseRepresentation
bin10011000010101011…
…10001010000010000
3222101110102210120100
421201111301100100
5131414044000222
64410231012400
7511223222004
oct114125612020
928343383510
1010223031312
1143766a880a
121b9380a100
13c6bc79870
146cda1c704
153ec7664ac
hex261571410

10223031312 has 60 divisors (see below), whose sum is σ = 30811086124. Its totient is φ = 3145547520.

The previous prime is 10223031289. The next prime is 10223031331. The reversal of 10223031312 is 21313032201.

It can be written as a sum of positive squares in 2 ways, for example, as 4992270336 + 5230760976 = 70656^2 + 72324^2 .

It is a super-2 number, since 2×102230313122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2728639 + ... + 2732382.

Almost surely, 210223031312 is an apocalyptic number.

10223031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10223031312 is an abundant number, since it is smaller than the sum of its proper divisors (20588054812).

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

10223031312 is a wasteful number, since it uses less digits than its factorization.

10223031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461048 (or 5461039 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10223031312 its reverse (21313032201), we get a palindrome (31536063513).

The spelling of 10223031312 in words is "ten billion, two hundred twenty-three million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5461021 10922042 16383063 21844084 32766126 43688168 49149189 65532252 70993273 87376336 98298378 131064504 141986546 196596756 212979819 262129008 283973092 393193512 425959638 567946184 638939457 786387024 851919276 1135892368 1277878914 1703838552 2555757828 3407677104 5111515656 10223031312