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23513321404104 = 23375912157195131
BaseRepresentation
bin1010101100010100111110…
…01010110111011011001000
310002020211222210111221100120
411112022133022313123020
511040220240234412404
6122001512024503240
74644532011150240
oct526123712673310
9102224883457316
1023513321404104
117545a41a3a294
12277905791ab20
1310173b1ab672c
145b409d688b20
152ab97e99a9d9
hex15629f2b76c8

23513321404104 has 128 divisors (see below), whose sum is σ = 68325547852800. Its totient is φ = 6603648779520.

The previous prime is 23513321404103. The next prime is 23513321404147. The reversal of 23513321404104 is 40140412331532.

It is not an unprimeable number, because it can be changed into a prime (23513321404103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120402619 + ... + 120597749.

It is an arithmetic number, because the mean of its divisors is an integer number (533793342600).

Almost surely, 223513321404104 is an apocalyptic number.

23513321404104 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 23513321404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34162773926400).

23513321404104 is an abundant number, since it is smaller than the sum of its proper divisors (44812226448696).

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

23513321404104 is a wasteful number, since it uses less digits than its factorization.

23513321404104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207363 (or 207359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 23513321404104 its reverse (40140412331532), we get a palindrome (63653733735636).

The spelling of 23513321404104 in words is "twenty-three trillion, five hundred thirteen billion, three hundred twenty-one million, four hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 12157 24314 36471 48628 72942 85099 97256 145884 170198 195131 255297 291768 340396 390262 510594 585393 680792 717263 780524 1021188 1170786 1365917 1434526 1561048 2042376 2151789 2341572 2731834 2869052 4097751 4303578 4683144 5020841 5463668 5738104 8195502 8607156 10041682 10927336 11512729 15062523 16391004 17214312 20083364 23025458 30125046 32782008 34538187 40166728 46050916 60250092 69076374 80589103 92101832 120500184 138152748 161178206 241767309 276305496 322356412 483534618 644712824 967069236 1934138472 2372207567 4744415134 7116622701 9488830268 14233245402 16605452969 18977660536 28466490804 33210905938 49816358907 56932981608 66421811876 99632717814 132843623752 139960246453 199265435628 279920492906 398530871256 419880739359 559840985812 839761478718 979721725171 1119681971624 1679522957436 1959443450342 2939165175513 3359045914872 3918886900684 5878330351026 7837773801368 11756660702052 23513321404104