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20312110444010 = 257111131861125441
BaseRepresentation
bin1001001111001010010000…
…01000001010110111101010
32122220211002220022211110012
410213211020020022313222
510130243200233202020
6111111131004051522
74164334014022220
oct447451010126752
978824086284405
1020312110444010
1165213548a0150
122340758833ba2
13b44568106638
1450317b92ab10
1525357082e7c5
hex12794820adea

20312110444010 has 128 divisors (see below), whose sum is σ = 46012013203968. Its totient is φ = 6271598592000.

The previous prime is 20312110443983. The next prime is 20312110444013. The reversal of 20312110444010 is 1044401121302.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20312110444013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161862890 + ... + 161988330.

It is an arithmetic number, because the mean of its divisors is an integer number (359468853156).

Almost surely, 220312110444010 is an apocalyptic number.

20312110444010 is an abundant number, since it is smaller than the sum of its proper divisors (25699902759958).

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

20312110444010 is a wasteful number, since it uses less digits than its factorization.

20312110444010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127440.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 20312110444010 its reverse (1044401121302), we get a palindrome (21356511565312).

The spelling of 20312110444010 in words is "twenty trillion, three hundred twelve billion, one hundred ten million, four hundred forty-four thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 113 154 226 385 565 770 791 1130 1243 1582 1861 2486 3722 3955 6215 7910 8701 9305 12430 13027 17402 18610 20471 26054 40942 43505 65135 87010 102355 125441 130270 143297 204710 210293 250882 286594 420586 627205 716485 878087 1051465 1254410 1379851 1432970 1472051 1756174 2102930 2313223 2759702 2944102 4390435 4626446 6899255 7360255 8780870 9658957 11566115 13798510 14174833 14720510 16192561 19317914 23132230 28349666 32385122 48294785 70874165 80962805 96589570 99223831 141748330 155923163 161925610 198447662 233445701 311846326 466891402 496119155 779615815 992238310 1091462141 1167228505 1559231630 1634119907 2182924282 2334457010 2567902711 3268239814 5135805422 5457310705 8170599535 10914621410 12839513555 16341199070 17975318977 25679027110 26379364213 35950637954 52758728426 89876594885 131896821065 179753189770 184655549491 263793642130 290173006343 369311098982 580346012686 923277747455 1450865031715 1846555494910 2031211044401 2901730063430 4062422088802 10156055222005 20312110444010