Search a number
-
+
13023510715527 = 3132227431262553
BaseRepresentation
bin1011110110000100010110…
…1110101101110010000111
31201010000221212001121212020
42331201011232231302013
53201334122220344102
643410530200454223
72512626510364464
oct275410556556207
951100855047766
1013023510715527
114171270305304
12156406347a373
1373615b7b1b00
143304ac69866b
15178b88729bbc
hexbd845badc87

13023510715527 has 48 divisors (see below), whose sum is σ = 18929899749888. Its totient is φ = 7960618648320.

The previous prime is 13023510715471. The next prime is 13023510715561. The reversal of 13023510715527 is 72551701532031.

It is not a de Polignac number, because 13023510715527 - 216 = 13023510649991 is a prime.

It is a super-2 number, since 2×130235107155272 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023510715627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49472083 + ... + 49734635.

It is an arithmetic number, because the mean of its divisors is an integer number (394372911456).

Almost surely, 213023510715527 is an apocalyptic number.

13023510715527 is a deficient number, since it is larger than the sum of its proper divisors (5906389034361).

13023510715527 is a wasteful number, since it uses less digits than its factorization.

13023510715527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263240 (or 263227 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 13023510715527 in words is "thirteen trillion, twenty-three billion, five hundred ten million, seven hundred fifteen thousand, five hundred twenty-seven".

Divisors: 1 3 13 39 169 227 431 507 681 1293 2951 5603 8853 16809 38363 72839 97837 115089 218517 262553 293511 787659 1271881 3413189 3815643 10239567 16534453 44371457 49603359 59599531 113160343 133114371 178798593 339481029 774793903 1471084459 2324381709 4413253377 10072320739 19124097967 25687397861 30216962217 57372293901 77062193583 333936172193 1001808516579 4341170238509 13023510715527