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23130415455354 = 235337433326159
BaseRepresentation
bin1010100001001011110000…
…01100100101110001111010
310000220020122102102100100000
411100211320030211301322
511012432042324032404
6121105544405253430
74605055154245314
oct520457014456172
9100806572370300
1023130415455354
117408610574679
1227169b5404276
13cba25baab71c
1459d7378887b4
152a1a1db56339
hex150978325c7a

23130415455354 has 96 divisors (see below), whose sum is σ = 52246808490240. Its totient is φ = 7669482734592.

The previous prime is 23130415455349. The next prime is 23130415455419. The reversal of 23130415455354 is 45355451403132.

23130415455354 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 0 + 4 + 1 + 545 + 53 + 54 = 666.

It is a super-2 number, since 2×231304154553542 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70754527 + ... + 71080685.

It is an arithmetic number, because the mean of its divisors is an integer number (544237588440).

Almost surely, 223130415455354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130415455354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26123404245120).

23130415455354 is an abundant number, since it is smaller than the sum of its proper divisors (29116393034886).

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

23130415455354 is a wasteful number, since it uses less digits than its factorization.

23130415455354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326946 (or 326934 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 23130415455354 its reverse (45355451403132), we get a palindrome (68485866858486).

The spelling of 23130415455354 in words is "twenty-three trillion, one hundred thirty billion, four hundred fifteen million, four hundred fifty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 337 433 486 674 866 1011 1299 2022 2598 3033 3897 6066 7794 9099 11691 18198 23382 27297 35073 54594 70146 81891 105219 145921 163782 210438 291842 326159 437763 652318 875526 978477 1313289 1956954 2626578 2935431 3939867 5870862 7879734 8806293 11819601 17612586 23639202 26418879 35458803 52837758 70917606 79256637 109915583 141226847 158513274 219831166 282453694 329746749 423680541 659493498 847361082 989240247 1271041623 1978480494 2542083246 2967720741 3813124869 5935441482 7626249738 8903162223 11439374607 17806324446 22878749214 26709486669 34318123821 47593447439 53418973338 68636247642 95186894878 142780342317 285560684634 428341026951 856682053902 1285023080853 2570046161706 3855069242559 7710138485118 11565207727677 23130415455354