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202010103120 = 24357711693579
BaseRepresentation
bin1011110000100010111…
…1011000110101010000
3201022102102122111121010
42330020233120311100
511302204041244440
6232445133330520
720410666354650
oct2741057306520
9638372574533
10202010103120
1178743489451
1233198936a40
13160848c2cc7
149ac504a360
1553c4b80580
hex2f08bd8d50

202010103120 has 160 divisors (see below), whose sum is σ = 725773547520. Its totient is φ = 45523376640.

The previous prime is 202010103101. The next prime is 202010103133. The reversal of 202010103120 is 21301010202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202010103096 and 202010103105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727510 + ... + 966069.

It is an arithmetic number, because the mean of its divisors is an integer number (4536084672).

Almost surely, 2202010103120 is an apocalyptic number.

202010103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202010103120 is an abundant number, since it is smaller than the sum of its proper divisors (523763444400).

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

202010103120 is a wasteful number, since it uses less digits than its factorization.

202010103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693673 (or 1693667 counting only the distinct ones).

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

Adding to 202010103120 its reverse (21301010202), we get a palindrome (223311113322).

The spelling of 202010103120 in words is "two hundred two billion, ten million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 71 80 84 105 112 120 140 142 168 210 213 240 280 284 336 355 420 426 497 560 568 710 840 852 994 1065 1136 1420 1491 1680 1704 1988 2130 2485 2840 2982 3408 3976 4260 4970 5680 5964 7455 7952 8520 9940 11928 14910 17040 19880 23856 29820 39760 59640 119280 1693579 3387158 5080737 6774316 8467895 10161474 11855053 13548632 16935790 20322948 23710106 25403685 27097264 33871580 35565159 40645896 47420212 50807370 59275265 67743160 71130318 81291792 94840424 101614740 118550530 120244109 135486320 142260636 177825795 189680848 203229480 237101060 240488218 284521272 355651590 360732327 406458960 474202120 480976436 569042544 601220545 711303180 721464654 841708763 948404240 961952872 1202441090 1422606360 1442929308 1683417526 1803661635 1923905744 2404882180 2525126289 2845212720 2885858616 3366835052 3607323270 4208543815 4809764360 5050252578 5771717232 6733670104 7214646540 8417087630 9619528720 10100505156 12625631445 13467340208 14429293080 16834175260 20201010312 25251262890 28858586160 33668350520 40402020624 50502525780 67336701040 101005051560 202010103120