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23201312313102 = 23711596113953679
BaseRepresentation
bin1010100011001111110011…
…11110101000111100001110
310001011000122100100212202020
411101213321332220330032
511020112241423004402
6121202311415111010
74613145101505510
oct521477176507416
9101130570325666
1023201312313102
117435691a421a0
1227286a0672466
13cc3b49c8c421
145a2d4163dbb0
152a37bcd728bc
hex1519f9fa8f0e

23201312313102 has 128 divisors (see below), whose sum is σ = 59797658419200. Its totient is φ = 5827055932800.

The previous prime is 23201312313061. The next prime is 23201312313107. The reversal of 23201312313102 is 20131321310232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201312313107) 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, 5314102 + ... + 8639577.

It is an arithmetic number, because the mean of its divisors is an integer number (467169206400).

Almost surely, 223201312313102 is an apocalyptic number.

23201312313102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

23201312313102 is an abundant number, since it is smaller than the sum of its proper divisors (36596346106098).

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

23201312313102 is a wasteful number, since it uses less digits than its factorization.

23201312313102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13953822.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23201312313102 its reverse (20131321310232), we get a palindrome (43332633623334).

The spelling of 23201312313102 in words is "twenty-three trillion, two hundred one billion, three hundred twelve million, three hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 61 66 77 118 122 154 177 183 231 354 366 413 427 462 649 671 826 854 1239 1281 1298 1342 1947 2013 2478 2562 3599 3894 4026 4543 4697 7198 9086 9394 10797 13629 14091 21594 25193 27258 28182 39589 50386 75579 79178 118767 151158 237534 277123 554246 831369 1662738 13953679 27907358 41861037 83722074 97675753 153490469 195351506 293027259 306980938 460471407 586054518 823267061 851174419 920942814 1074433283 1646534122 1702348838 2148866566 2469801183 2553523257 3223299849 4939602366 5107046514 5762869427 5958220933 6446599698 9055937671 9362918609 11525738854 11916441866 17288608281 17874662799 18111875342 18725837218 27167813013 28088755827 34577216562 35749325598 50219290721 54335626026 56177511654 63391563697 65540430263 100438581442 126783127394 131080860526 150657872163 190174691091 196621290789 301315744326 351535035047 380349382182 393242581578 552412197931 703070070094 1054605105141 1104824395862 1657236593793 2109210210282 3314473187586 3866885385517 7733770771034 11600656156551 23201312313102