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10220031312 = 243821259339
BaseRepresentation
bin10011000010010100…
…10100110101010000
3222101020210101100020
421201022110311100
5131412312000222
64410042423440
7511155555441
oct114112246520
928336711306
1010220031312
114374a39877
121b92801b80
13c6b46920a
146cd47b2c8
153ec37265c
hex261294d50

10220031312 has 40 divisors (see below), whose sum is σ = 26434007520. Its totient is φ = 3402514560.

The previous prime is 10220031293. The next prime is 10220031319. The reversal of 10220031312 is 21313002201.

It is a junction number, because it is equal to n+sod(n) for n = 10220031291 and 10220031300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220031319) 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 7 ways as a sum of consecutive naturals, for example, 90262 + ... + 169077.

It is an arithmetic number, because the mean of its divisors is an integer number (660850188).

Almost surely, 210220031312 is an apocalyptic number.

10220031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220031312 is an abundant number, since it is smaller than the sum of its proper divisors (16213976208).

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

10220031312 is a wasteful number, since it uses less digits than its factorization.

10220031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260171 (or 260165 counting only the distinct ones).

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

Adding to 10220031312 its reverse (21313002201), we get a palindrome (31533033513).

The spelling of 10220031312 in words is "ten billion, two hundred twenty million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 821 1642 2463 3284 4926 6568 9852 13136 19704 39408 259339 518678 778017 1037356 1556034 2074712 3112068 4149424 6224136 12448272 212917319 425834638 638751957 851669276 1277503914 1703338552 2555007828 3406677104 5110015656 10220031312