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104130020412 = 2232113713154251
BaseRepresentation
bin110000011111010100…
…0100000010000111100
3100221210000000010011200
41200332220200100330
53201224241123122
6115500415415500
710344303366225
oct1407650402074
9327700003150
10104130020412
1140185755610
1218220b24590
139a86355cc2
14507b77c24c
152a96ae45ac
hex183ea2043c

104130020412 has 144 divisors (see below), whose sum is σ = 297163810944. Its totient is φ = 30466800000.

The previous prime is 104130020387. The next prime is 104130020413. The reversal of 104130020412 is 214020031401.

104130020412 is a `hidden beast` number, since 104 + 130 + 0 + 20 + 412 = 666.

It is a super-2 number, since 2×1041300204122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104130020413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1892287 + ... + 1946537.

It is an arithmetic number, because the mean of its divisors is an integer number (2063637576).

Almost surely, 2104130020412 is an apocalyptic number.

104130020412 is a gapful number since it is divisible by the number (12) 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 104130020412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148581905472).

104130020412 is an abundant number, since it is smaller than the sum of its proper divisors (193033790532).

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

104130020412 is a wasteful number, since it uses less digits than its factorization.

104130020412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54440 (or 54435 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104130020412 its reverse (214020031401), we get a palindrome (318150051813).

The spelling of 104130020412 in words is "one hundred four billion, one hundred thirty million, twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 131 132 148 198 222 262 333 393 396 407 444 524 666 786 814 1179 1221 1332 1441 1572 1628 2358 2442 2882 3663 4323 4716 4847 4884 5764 7326 8646 9694 12969 14541 14652 17292 19388 25938 29082 43623 51876 53317 54251 58164 87246 106634 108502 159951 162753 174492 213268 217004 319902 325506 479853 488259 596761 639804 651012 959706 976518 1193522 1790283 1919412 1953036 2007287 2387044 3580566 4014574 5370849 6021861 7106881 7161132 8029148 10741698 12043722 14213762 18065583 21320643 21483396 22080157 24087444 28427524 36131166 42641286 44160314 63961929 66240471 72262332 78175691 85282572 88320628 127923858 132480942 156351382 198721413 234527073 255847716 262954597 264961884 312702764 397442826 469054146 525909194 703581219 788863791 794885652 938108292 1051818388 1407162438 1577727582 2366591373 2814324876 2892500567 3155455164 4733182746 5785001134 8677501701 9466365492 11570002268 17355003402 26032505103 34710006804 52065010206 104130020412