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20315306442112 = 2711196431181017
BaseRepresentation
bin1001001111010000001101…
…00111111011110110000000
32122221010100122011100122021
410213220012213323312000
510130321221422121422
6111112420053251224
74164506142404023
oct447500647736600
978833318140567
1020315306442112
11652274495a8a0
1223412ab033b14
13b449572a3786
145033a21931ba
152536ab1dbdc7
hex127a069fbd80

20315306442112 has 128 divisors (see below), whose sum is σ = 46547226230400. Its totient is φ = 8734605373440.

The previous prime is 20315306442097. The next prime is 20315306442113. The reversal of 20315306442112 is 21124460351302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20315306442113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16611028 + ... + 17792044.

It is an arithmetic number, because the mean of its divisors is an integer number (363650204925).

Almost surely, 220315306442112 is an apocalyptic number.

20315306442112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20315306442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23273613115200).

20315306442112 is an abundant number, since it is smaller than the sum of its proper divisors (26231919788288).

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

20315306442112 is a wasteful number, since it uses less digits than its factorization.

20315306442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181704 (or 1181692 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 20315306442112 its reverse (21124460351302), we get a palindrome (41439766793414).

The spelling of 20315306442112 in words is "twenty trillion, three hundred fifteen billion, three hundred six million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 643 704 836 1216 1286 1408 1672 2432 2572 3344 5144 6688 7073 10288 12217 13376 14146 20576 24434 26752 28292 41152 48868 56584 82304 97736 113168 134387 195472 226336 268774 390944 452672 537548 781888 905344 1075096 1181017 1563776 2150192 2362034 4300384 4724068 8600768 9448136 12991187 17201536 18896272 22439323 25982374 37792544 44878646 51964748 75585088 89757292 103929496 151170176 179514584 207858992 246832553 359029168 415717984 493665106 718058336 759393931 831435968 987330212 1436116672 1518787862 1662871936 1974660424 2872233344 3037575724 3949320848 6075151448 7898641696 8353333241 12150302896 14428484689 15797283392 16706666482 24300605792 28856969378 31594566784 33413332964 48601211584 57713938756 66826665928 97202423168 115427877512 133653331856 158713331579 230855755024 267306663712 317426663158 461711510048 534613327424 634853326316 923423020096 1069226654848 1269706652632 1846846040192 2539413305264 5078826610528 10157653221056 20315306442112