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100124335220 = 22572137859053
BaseRepresentation
bin101110100111111100…
…0000001110001110100
3100120102211121020002212
41131033320001301310
53120023312211340
6113555123552552
710143113543600
oct1351770016164
9316384536085
10100124335220
113950a638a88
12174a352b758
1395984c3990
144bbb788500
1529100e9a65
hex174fe01c74

100124335220 has 72 divisors (see below), whose sum is σ = 263404053864. Its totient is φ = 31687697664.

The previous prime is 100124335217. The next prime is 100124335231. The reversal of 100124335220 is 22533421001.

100124335220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1550941924 + 98573393296 = 39382^2 + 313964^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3916787 + ... + 3942266.

It is an arithmetic number, because the mean of its divisors is an integer number (3658389637).

Almost surely, 2100124335220 is an apocalyptic number.

100124335220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100124335220 is an abundant number, since it is smaller than the sum of its proper divisors (163279718644).

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

100124335220 is a wasteful number, since it uses less digits than its factorization.

100124335220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859089 (or 7859080 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 100124335220 its reverse (22533421001), we get a palindrome (122657756221).

The spelling of 100124335220 in words is "one hundred billion, one hundred twenty-four million, three hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 7859053 15718106 31436212 39295265 55013371 78590530 102167689 110026742 157181060 204335378 220053484 275066855 385093597 408670756 510838445 550133710 715173823 770187194 1021676890 1100267420 1430347646 1540374388 1925467985 2043353780 2860695292 3575869115 3850935970 5006216761 7151738230 7701871940 10012433522 14303476460 20024867044 25031083805 50062167610 100124335220