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2012310013311 = 331329619931891
BaseRepresentation
bin11101010010000111000…
…001100000010101111111
321010101010100022022122000
4131102013001200111333
5230432202330411221
64140235323153343
7265245626614503
oct35220701402577
97111110268560
102012310013311
117064635a6004
12285bba675853
131179b59c1610
146d57972a303
1537528a88e26
hex1d48706057f

2012310013311 has 64 divisors (see below), whose sum is σ = 3321870720000. Its totient is φ = 1195412722560.

The previous prime is 2012310013309. The next prime is 2012310013321. The reversal of 2012310013311 is 1133100132102.

2012310013311 is a `hidden beast` number, since 20 + 1 + 2 + 310 + 0 + 1 + 331 + 1 = 666.

It is not a de Polignac number, because 2012310013311 - 21 = 2012310013309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012310013321) 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, 63083676 + ... + 63115566.

It is an arithmetic number, because the mean of its divisors is an integer number (51904230000).

Almost surely, 22012310013311 is an apocalyptic number.

2012310013311 is a deficient number, since it is larger than the sum of its proper divisors (1309560706689).

2012310013311 is a wasteful number, since it uses less digits than its factorization.

2012310013311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38141 (or 38135 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2012310013311 its reverse (1133100132102), we get a palindrome (3145410145413).

The spelling of 2012310013311 in words is "two trillion, twelve billion, three hundred ten million, thirteen thousand, three hundred eleven".

Divisors: 1 3 9 13 27 29 39 87 117 261 351 377 783 1131 3393 6199 10179 18597 31891 55791 80587 95673 167373 179771 241761 287019 414583 539313 725283 861057 924839 1243749 1617939 2175849 2337023 2774517 3731247 4853817 7011069 8323551 11193741 12022907 21033207 24970653 36068721 63099621 108206163 197692309 324618489 593076927 1779230781 2570000017 5337692343 5733076961 7710000051 17199230883 23130000153 51597692649 69390000459 74530000493 154793077947 223590001479 670770004437 2012310013311