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10222031100 = 2235247937109
BaseRepresentation
bin10011000010100011…
…11101000011111100
3222101101112222112110
421201101331003330
5131413314443400
64410153334020
7511211554641
oct114121750374
928341488473
1010222031100
114376085296
121b93407310
13c6b9b9518
146cd83bdc8
153ec619e50
hex26147d0fc

10222031100 has 72 divisors (see below), whose sum is σ = 29586075120. Its totient is φ = 2724922880.

The previous prime is 10222031087. The next prime is 10222031111. The reversal of 10222031100 is 113022201.

10222031100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1434346 + ... + 1441454.

It is an arithmetic number, because the mean of its divisors is an integer number (410917710).

Almost surely, 210222031100 is an apocalyptic number.

10222031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222031100 is an abundant number, since it is smaller than the sum of its proper divisors (19364044020).

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

10222031100 is a wasteful number, since it uses less digits than its factorization.

10222031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919 (or 11912 counting only the distinct ones).

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

Adding to 10222031100 its reverse (113022201), we get a palindrome (10335053301).

The spelling of 10222031100 in words is "ten billion, two hundred twenty-two million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4793 7109 9586 14218 14379 19172 21327 23965 28436 28758 35545 42654 47930 57516 71090 71895 85308 95860 106635 119825 142180 143790 177725 213270 239650 287580 355450 359475 426540 479300 533175 710900 718950 1066350 1437900 2132700 34073437 68146874 102220311 136293748 170367185 204440622 340734370 408881244 511101555 681468740 851835925 1022203110 1703671850 2044406220 2555507775 3407343700 5111015550 10222031100