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23303011137104 = 2429751388117231
BaseRepresentation
bin1010100110001101001111…
…01100110111011001010000
310001111202010220122102102102
411103012213230313121100
511023244031322341404
6121321131105535532
74623405224320616
oct523064754673120
9101452126572372
1023303011137104
11747482a307976
1227443433445a8
13100060672606a
145a7c2c15b6b6
152a62712cc71e
hex1531a7b37650

23303011137104 has 80 divisors (see below), whose sum is σ = 46783424240640. Its totient is φ = 11231203200000.

The previous prime is 23303011137103. The next prime is 23303011137121. The reversal of 23303011137104 is 40173111030332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23303011137103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1352380169 + ... + 1352397399.

It is an arithmetic number, because the mean of its divisors is an integer number (584792803008).

Almost surely, 223303011137104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23303011137104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23391712120320).

23303011137104 is an abundant number, since it is smaller than the sum of its proper divisors (23480413103536).

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

23303011137104 is a wasteful number, since it uses less digits than its factorization.

23303011137104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21900 (or 21894 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 23303011137104 its reverse (40173111030332), we get a palindrome (63476122167436).

The spelling of 23303011137104 in words is "twenty-three trillion, three hundred three billion, eleven million, one hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 751 1502 3004 3881 6008 7762 12016 15524 17231 21779 31048 34462 43558 62096 68924 87116 112549 137848 174232 225098 275696 348464 450196 499699 900392 999398 1800784 1998796 2914631 3997592 5829262 7995184 11658524 12940481 23317048 25880962 46634096 51761924 66873511 84524299 103523848 133747022 169048598 207047696 267494044 338097196 375273949 534988088 676194392 750547898 1069976176 1352388784 1501095796 1939331819 3002191592 3878663638 6004383184 7757327276 15514654552 31029309104 50222006761 100444013522 200888027044 401776054088 803552108176 1456438196069 2912876392138 5825752784276 11651505568552 23303011137104