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13131312233211 = 32131137136759471
BaseRepresentation
bin1011111100010101111100…
…1100110111101011111011
31201111100012201122010110100
42333011133030313223323
53210120411412430321
643532235213250443
72523464105226504
oct277053714675373
951440181563410
1013131312233211
114202a5a472087
121580b29a93a23
1374337b68c0b3
143357b78b7bab
1517b897805326
hexbf15f337afb

13131312233211 has 48 divisors (see below), whose sum is σ = 19266153274368. Its totient is φ = 8617517001600.

The previous prime is 13131312233167. The next prime is 13131312233269. The reversal of 13131312233211 is 11233221313131.

13131312233211 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 312 + 2 + 332 + 11 = 666.

It is not a de Polignac number, because 13131312233211 - 210 = 13131312232187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13131312233311) 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, 220772206 + ... + 220831676.

It is an arithmetic number, because the mean of its divisors is an integer number (401378193216).

Almost surely, 213131312233211 is an apocalyptic number.

13131312233211 is a deficient number, since it is larger than the sum of its proper divisors (6134841041157).

13131312233211 is a wasteful number, since it uses less digits than its factorization.

13131312233211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61112 (or 61109 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13131312233211 its reverse (11233221313131), we get a palindrome (24364533546342).

The spelling of 13131312233211 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twelve million, two hundred thirty-three thousand, two hundred eleven".

Divisors: 1 3 9 131 137 393 411 1179 1233 1367 4101 12303 17947 53841 59471 161523 178413 179077 187279 535239 537231 561837 1611693 1685511 7790701 8147527 23372103 24442581 24533549 70116309 73327743 73600647 81296857 220801941 243890571 731671713 1067326037 3201978111 9605934333 10649888267 11137669409 31949664801 33413008227 95848994403 100239024681 1459034692579 4377104077737 13131312233211