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21513123416 = 231723371511231
BaseRepresentation
bin10100000010010010…
…000011011001011000
32001112021201220100202
4110002102003121120
5323024324422131
613514420521332
71361054350301
oct240222033130
961467656322
1021513123416
11913a663044
124204850248
13204b013335
1410812437a8
1585da08bcb
hex502483658

21513123416 has 128 divisors (see below), whose sum is σ = 46111887360. Its totient is φ = 9351936000.

The previous prime is 21513123409. The next prime is 21513123419. The reversal of 21513123416 is 61432131512.

It is a super-2 number, since 2×215131234162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21513123419) 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, 17475521 + ... + 17476751.

It is an arithmetic number, because the mean of its divisors is an integer number (360249120).

Almost surely, 221513123416 is an apocalyptic number.

It is an amenable number.

21513123416 is an abundant number, since it is smaller than the sum of its proper divisors (24598763944).

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

21513123416 is a wasteful number, since it uses less digits than its factorization.

21513123416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1461 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

Adding to 21513123416 its reverse (61432131512), we get a palindrome (82945254928).

The spelling of 21513123416 in words is "twenty-one billion, five hundred thirteen million, one hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 17 23 34 37 46 68 74 92 136 148 151 184 296 302 391 604 629 782 851 1208 1231 1258 1564 1702 2462 2516 2567 3128 3404 3473 4924 5032 5134 5587 6808 6946 9848 10268 11174 13892 14467 20536 20927 22348 27784 28313 28934 41854 44696 45547 56626 57868 59041 83708 91094 94979 113252 115736 118082 128501 167416 182188 185881 189958 226504 236164 257002 364376 371762 379916 472328 481321 514004 743524 759832 774299 962642 1028008 1047581 1487048 1548598 1925284 2095162 2184517 3097196 3159977 3850568 4190324 4275263 4369034 6194392 6319954 6877597 8380648 8550526 8738068 12639908 13755194 17101052 17476136 17808877 25279816 27510388 34202104 35617754 55020776 71235508 72679471 116919149 142471016 145358942 158184731 233838298 290717884 316369462 467676596 581435768 632738924 935353192 1265477848 2689140427 5378280854 10756561708 21513123416