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23003013331221 = 3711295364788643
BaseRepresentation
bin1010011101011110011100…
…11100000011100100010101
310000110001210112211212102220
411032233032130003210111
511003340132403044341
6120531234411452553
74562625054124140
oct516571634034425
9100401715755386
1023003013331221
11736958337a0a0
1226b617a757159
13cab2371b5061
145974cd42b057
1529d563e03a66
hex14ebce703915

23003013331221 has 64 divisors (see below), whose sum is σ = 40303719659520. Its totient is φ = 11319871530240.

The previous prime is 23003013331219. The next prime is 23003013331229. The reversal of 23003013331221 is 12213331030032.

It is not a de Polignac number, because 23003013331221 - 21 = 23003013331219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23003013331191 and 23003013331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003013331229) 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 63 ways as a sum of consecutive naturals, for example, 32039275 + ... + 32749368.

It is an arithmetic number, because the mean of its divisors is an integer number (629745619680).

Almost surely, 223003013331221 is an apocalyptic number.

23003013331221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23003013331221 is a deficient number, since it is larger than the sum of its proper divisors (17300706328299).

23003013331221 is a wasteful number, since it uses less digits than its factorization.

23003013331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64788746.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23003013331221 its reverse (12213331030032), we get a palindrome (35216344361253).

The spelling of 23003013331221 in words is "twenty-three trillion, three billion, thirteen million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 29 33 53 77 87 159 203 231 319 371 583 609 957 1113 1537 1749 2233 4081 4611 6699 10759 12243 16907 32277 50721 118349 355047 64788643 194365929 453520501 712675073 1360561503 1878870647 2138025219 3433798079 4988725511 5636611941 10301394237 13152094529 14966176533 20667577117 24036586553 37771778869 39456283587 62002731351 72109759659 99580144291 113315336607 144673039819 264402452083 298740432873 434019119457 697061010037 793207356249 1095381587201 2091183030111 3286144761603 7667671110407 23003013331221