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13134532112 = 241317312853
BaseRepresentation
bin11000011101110000…
…10000111000010000
31020220100221100211022
430032320100320100
5203344420011422
610011154335012
7643325452352
oct141670207020
936810840738
1013134532112
115630112419
12266688a468
1313142162c0
148c85890d2
1551d178342
hex30ee10e10

13134532112 has 80 divisors (see below), whose sum is σ = 29120479920. Its totient is φ = 5705054208.

The previous prime is 13134532091. The next prime is 13134532121. The reversal of 13134532112 is 21123543131.

It can be written as a sum of positive squares in 8 ways, for example, as 995781136 + 12138750976 = 31556^2 + 110176^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015478 + ... + 1028330.

It is an arithmetic number, because the mean of its divisors is an integer number (364005999).

Almost surely, 213134532112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134532112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560239960).

13134532112 is an abundant number, since it is smaller than the sum of its proper divisors (15985947808).

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

13134532112 is a wasteful number, since it uses less digits than its factorization.

13134532112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925 (or 12885 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The spelling of 13134532112 in words is "thirteen billion, one hundred thirty-four million, five hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 289 442 578 884 1156 1768 2312 3536 3757 4624 4913 7514 9826 12853 15028 19652 25706 30056 39304 51412 60112 63869 78608 102824 127738 167089 205648 218501 255476 334178 437002 510952 668356 874004 1021904 1336712 1748008 2673424 2840513 3496016 3714517 5681026 7429034 11362052 14858068 22724104 29716136 45448208 48288721 59432272 63146789 96577442 126293578 193154884 252587156 386309768 505174312 772619536 820908257 1010348624 1641816514 3283633028 6567266056 13134532112