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23131001313231 = 3719294434512527
BaseRepresentation
bin1010100001001100110110…
…00111011101011111001111
310000220022011020211000020220
411100212123013131133033
511012434242314010411
6121110122454242423
74605105530043630
oct520463307353717
9100808136730226
1023131001313231
117408891243339
122716b39656413
13cba3232952a6
1459d7915cd887
152a1a552cdb06
hex15099b1dd7cf

23131001313231 has 64 divisors (see below), whose sum is σ = 38468398694400. Its totient is φ = 12062956703616.

The previous prime is 23131001313229. The next prime is 23131001313253. The reversal of 23131001313231 is 13231310013132.

It is not a de Polignac number, because 23131001313231 - 21 = 23131001313229 is a prime.

It is a super-2 number, since 2×231310013132312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131001313331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2869690 + ... + 7382216.

It is an arithmetic number, because the mean of its divisors is an integer number (601068729600).

Almost surely, 223131001313231 is an apocalyptic number.

23131001313231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23131001313231 is a deficient number, since it is larger than the sum of its proper divisors (15337397381169).

23131001313231 is a wasteful number, since it uses less digits than its factorization.

23131001313231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513028.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 23131001313231 its reverse (13231310013132), we get a palindrome (36362311326363).

The spelling of 23131001313231 in words is "twenty-three trillion, one hundred thirty-one billion, one million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 7 19 21 29 57 87 133 203 399 443 551 609 1329 1653 3101 3857 8417 9303 11571 12847 25251 38541 58919 89929 176757 244093 269787 732279 1708651 4512527 5125953 13537581 31587689 85738013 94763067 130863283 257214039 392589849 600166091 916042981 1800498273 1999049461 2486402377 2748128943 5997148383 7459207131 13993346227 17404816639 37981939759 41980038681 52214449917 57972434369 113945819277 173917303107 265873578313 405807040583 797620734939 1101476253011 1217421121749 3304428759033 7710333771077 23131001313231