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13131521041122 = 2321129416407189
BaseRepresentation
bin1011111100010110101110…
…1001011010001011100010
31201111100202021112200001200
42333011223221122023202
53210121323341303442
643532312032542030
72523502222120101
oct277055351321342
951440667480050
1013131521041122
114203057320600
121580b879b1916
137433b2a0b483
143357d7510038
1517b8aacee34c
hexbf16ba5a2e2

13131521041122 has 72 divisors (see below), whose sum is σ = 31306517047260. Its totient is φ = 3975019435200.

The previous prime is 13131521041073. The next prime is 13131521041139. The reversal of 13131521041122 is 22114012513131.

13131521041122 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 15 + 210 + 411 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13120180708041 + 11340333081 = 3622179^2 + 106491^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1154097 + ... + 5253092.

Almost surely, 213131521041122 is an apocalyptic number.

13131521041122 is an abundant number, since it is smaller than the sum of its proper divisors (18174996006138).

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

13131521041122 is a wasteful number, since it uses less digits than its factorization.

13131521041122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408160 (or 6408146 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13131521041122 its reverse (22114012513131), we get a palindrome (35245533554253).

The spelling of 13131521041122 in words is "thirteen trillion, one hundred thirty-one billion, five hundred twenty-one million, forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 941 1089 1882 2178 2823 5646 8469 10351 16938 20702 31053 62106 93159 113861 186318 227722 341583 683166 1024749 2049498 6407189 12814378 19221567 38443134 57664701 70479079 115329402 140958158 211437237 422874474 634311711 775269869 1268623422 1550539738 2325809607 4651619214 6029164849 6977428821 12058329698 13954857642 18087494547 36174989094 54262483641 66320813339 108524967282 132641626678 198962440017 397924880034 596887320051 729528946729 1193774640102 1459057893458 2188586840187 4377173680374 6565760520561 13131521041122