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23005123321104 = 24327119333116387
BaseRepresentation
bin1010011101100010011000…
…01101000001110100010000
310000110021020121011110102100
411032301030031001310100
511003403443032233404
6120532224024120400
74563031254546141
oct516611415016420
9100407217143370
1023005123321104
11736a466410791
1226b6669306100
13cab4b238cc92
1459764d757ac8
1529d639290d39
hex14ec4c341d10

23005123321104 has 120 divisors (see below), whose sum is σ = 65293126097472. Its totient is φ = 7559913150720.

The previous prime is 23005123321039. The next prime is 23005123321121. The reversal of 23005123321104 is 40112332150032.

23005123321104 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 512 + 3 + 32 + 110 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197602399 + ... + 197718785.

Almost surely, 223005123321104 is an apocalyptic number.

23005123321104 is a gapful number since it is divisible by the number (24) 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 23005123321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32646563048736).

23005123321104 is an abundant number, since it is smaller than the sum of its proper divisors (42288002776368).

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

23005123321104 is a wasteful number, since it uses less digits than its factorization.

23005123321104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135805 (or 135796 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 23005123321104 its reverse (40112332150032), we get a palindrome (63117455471136).

The spelling of 23005123321104 in words is "twenty-three trillion, five billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 19333 38666 57999 77332 115998 116387 154664 173997 231996 232774 309328 347994 349161 463992 465548 695988 698322 927984 931096 1047483 1372643 1391976 1396644 1862192 2094966 2745286 2783952 2793288 4117929 4189932 5490572 5586576 8235858 8263477 8379864 10981144 12353787 16471716 16526954 16759728 21962288 24707574 24790431 32943432 33053908 49415148 49580862 65886864 66107816 74371293 98830296 99161724 132215632 148742586 197660592 198323448 297485172 396646896 594970344 1189940688 2250109871 4500219742 6750329613 9000439484 13500659226 18000878968 20250988839 27001318452 36001757936 40501977678 54002636904 81003955356 108005273808 159757800841 162007910712 319515601682 324015821424 479273402523 639031203364 958546805046 1278062406728 1437820207569 1917093610092 2556124813456 2875640415138 3834187220184 5751280830276 7668374440368 11502561660552 23005123321104