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13122110331132 = 22311306150116481
BaseRepresentation
bin1011111011110011101010…
…1110011001100011111100
31201110110110102122001212020
42332330322232121203330
53204443040221044012
643524114140440140
72523020061316605
oct276747256314374
951413412561766
1013122110331132
1141aa068209930
12157b1a0249050
13742543139b1a
14335183746dac
1517b509a45a8c
hexbef3ab998fc

13122110331132 has 96 divisors (see below), whose sum is σ = 33424471788288. Its totient is φ = 3973691520000.

The previous prime is 13122110331023. The next prime is 13122110331149. The reversal of 13122110331132 is 23113301122131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2024701332 + ... + 2024707812.

It is an arithmetic number, because the mean of its divisors is an integer number (348171581128).

Almost surely, 213122110331132 is an apocalyptic number.

13122110331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122110331132 is an abundant number, since it is smaller than the sum of its proper divisors (20302361457156).

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

13122110331132 is a wasteful number, since it uses less digits than its factorization.

13122110331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14571 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13122110331132 its reverse (23113301122131), we get a palindrome (36235411453263).

The spelling of 13122110331132 in words is "thirteen trillion, one hundred twenty-two billion, one hundred ten million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3061 5011 6122 6481 9183 10022 12244 12962 15033 18366 19443 20044 25924 30066 33671 36732 38886 55121 60132 67342 71291 77772 101013 110242 134684 142582 165363 202026 213873 220484 285164 330726 404052 427746 661452 855492 15338671 19838341 30677342 32476291 39676682 46016013 59515023 61354684 64952582 79353364 92032026 97428873 119030046 129905164 168725381 184064052 194857746 218221751 238060092 337450762 357239201 389715492 436443502 506176143 654665253 674901524 714478402 872887004 1012352286 1071717603 1309330506 1428956804 2024704572 2143435206 2618661012 4286870412 99409926751 198819853502 298229780253 397639707004 596459560506 1093509194261 1192919121012 2187018388522 3280527582783 4374036777044 6561055165566 13122110331132