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20312237153200 = 24521729103003231
BaseRepresentation
bin1001001111001010011111…
…01011100001101110110000
32122220211102201202022210011
410213211033223201232300
510130243430202400300
6111111151331544304
74164340113025606
oct447451753415660
978824381668704
1020312237153200
11652140a374693
12234079315b094
13b4458843c2a5
145031906b1876
1525357ba0ceba
hex12794fae1bb0

20312237153200 has 120 divisors (see below), whose sum is σ = 53452497214080. Its totient is φ = 7383271526400.

The previous prime is 20312237153191. The next prime is 20312237153207. The reversal of 20312237153200 is 235173221302.

It is not an unprimeable number, because it can be changed into a prime (20312237153207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51304416 + ... + 51698815.

It is an arithmetic number, because the mean of its divisors is an integer number (445437476784).

Almost surely, 220312237153200 is an apocalyptic number.

20312237153200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312237153200 is an abundant number, since it is smaller than the sum of its proper divisors (33140260060880).

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

20312237153200 is a wasteful number, since it uses less digits than its factorization.

20312237153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103003295 (or 103003284 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 20312237153200 in words is "twenty trillion, three hundred twelve billion, two hundred thirty-seven million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 29 34 40 50 58 68 80 85 100 116 136 145 170 200 232 272 290 340 400 425 464 493 580 680 725 850 986 1160 1360 1450 1700 1972 2320 2465 2900 3400 3944 4930 5800 6800 7888 9860 11600 12325 19720 24650 39440 49300 98600 197200 103003231 206006462 412012924 515016155 824025848 1030032310 1648051696 1751054927 2060064620 2575080775 2987093699 3502109854 4120129240 5150161550 5974187398 7004219708 8240258480 8755274635 10300323100 11948374796 14008439416 14935468495 17510549270 20600646200 23896749592 28016878832 29870936990 35021098540 41201292400 43776373175 47793499184 50780592883 59741873980 70042197080 74677342475 87552746350 101561185766 119483747960 140084394160 149354684950 175105492700 203122371532 238967495920 253902964415 298709369900 350210985400 406244743064 507805928830 597418739800 700421970800 812489486128 1015611857660 1194837479600 1269514822075 2031223715320 2539029644150 4062447430640 5078059288300 10156118576600 20312237153200