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31213542330135 = 32511293389553249
BaseRepresentation
bin1110001100011011110000…
…00110100100111100010111
311002111222121102200112000100
413012031320012210330113
513042400313314031020
6150215145310545143
76401050451115264
oct706157006447427
9132458542615010
1031213542330135
119a44652a01220
1236014882081b3
131455569582049
1479ca5a29426b
15391e08841a90
hex1c63781a4f17

31213542330135 has 96 divisors (see below), whose sum is σ = 59375763720000. Its totient is φ = 15043388497920.

The previous prime is 31213542330133. The next prime is 31213542330167. The reversal of 31213542330135 is 53103324531213.

31213542330135 is a `hidden beast` number, since 3 + 1 + 213 + 5 + 423 + 3 + 0 + 13 + 5 = 666.

It is not a de Polignac number, because 31213542330135 - 21 = 31213542330133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31213542330135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213542330133) 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 95 ways as a sum of consecutive naturals, for example, 56141991 + ... + 56695239.

It is an arithmetic number, because the mean of its divisors is an integer number (618497538750).

Almost surely, 231213542330135 is an apocalyptic number.

31213542330135 is a deficient number, since it is larger than the sum of its proper divisors (28162221389865).

31213542330135 is a wasteful number, since it uses less digits than its factorization.

31213542330135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553953 (or 553950 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 31213542330135 its reverse (53103324531213), we get a palindrome (84316866861348).

The spelling of 31213542330135 in words is "thirty-one trillion, two hundred thirteen billion, five hundred forty-two million, three hundred thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 293 389 495 879 1167 1465 1945 2637 3223 3501 4279 4395 5835 9669 12837 13185 16115 17505 21395 29007 38511 48345 64185 113977 145035 192555 341931 553249 569885 1025793 1253747 1659747 1709655 2766245 3761241 4979241 5128965 6085739 6268735 8298735 11283723 18257217 18806205 24896205 30428695 54771651 56418615 91286085 162101957 215213861 273858255 486305871 645641583 810509785 1076069305 1458917613 1783121527 1936924749 2367352471 2431529355 3228207915 5349364581 7102057413 7294588065 8915607635 9684623745 11836762355 16048093743 21306172239 26746822905 35510287065 63057661273 80240468715 106530861195 189172983819 315288306365 567518951457 693634274003 945864919095 2080902822009 2837594757285 3468171370015 6242708466027 10404514110045 31213542330135