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202134423120 = 24357532270153
BaseRepresentation
bin1011110001000000100…
…1101000011001010000
3201022202002120121120120
42330100021220121100
511302432403014440
6232505334110240
720414036150640
oct2742011503120
9638662517516
10202134423120
11787a7680953
12332124ab380
13160a45a0336
149ad776c520
1553d0a3add0
hex2f10268650

202134423120 has 160 divisors (see below), whose sum is σ = 729645656832. Its totient is φ = 45330395136.

The previous prime is 202134423103. The next prime is 202134423133. The reversal of 202134423120 is 21324431202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1046037 + ... + 1224116.

Almost surely, 2202134423120 is an apocalyptic number.

202134423120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202134423120 is an abundant number, since it is smaller than the sum of its proper divisors (527511233712).

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

202134423120 is a wasteful number, since it uses less digits than its factorization.

202134423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270229 (or 2270223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202134423120 its reverse (21324431202), we get a palindrome (223458854322).

The spelling of 202134423120 in words is "two hundred two billion, one hundred thirty-four million, four hundred twenty-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 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1484 1590 1680 1855 2120 2226 2544 2968 3180 3710 4240 4452 5565 5936 6360 7420 8904 11130 12720 14840 17808 22260 29680 44520 89040 2270153 4540306 6810459 9080612 11350765 13620918 15891071 18161224 22701530 27241836 31782142 34052295 36322448 45403060 47673213 54483672 63564284 68104590 79455355 90806120 95346426 108967344 120318109 127128568 136209180 158910710 181612240 190692852 238366065 240636218 254257136 272418360 317821420 360954327 381385704 476732130 481272436 544836720 601590545 635642840 721908654 762771408 842226763 953464260 962544872 1203181090 1271285680 1443817308 1684453526 1804771635 1906928520 1925089744 2406362180 2526680289 2887634616 3368907052 3609543270 3813857040 4211133815 4812724360 5053360578 5775269232 6737814104 7219086540 8422267630 9625448720 10106721156 12633401445 13475628208 14438173080 16844535260 20213442312 25266802890 28876346160 33689070520 40426884624 50533605780 67378141040 101067211560 202134423120