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10608141037131 = 3211889312049133
BaseRepresentation
bin1001101001011110011001…
…1110100110111001001011
31101120010110120212211210100
42122113212132212321023
52342300433101142011
634321151314020443
72143261424022411
oct232274636467113
941503416784710
1010608141037131
11341a984075280
121233b18b77723
135bc46060a261
142896186b12b1
15135e1e869d56
hex9a5e67a6e4b

10608141037131 has 24 divisors (see below), whose sum is σ = 16717739656176. Its totient is φ = 6428452904640.

The previous prime is 10608141037121. The next prime is 10608141037133. The reversal of 10608141037131 is 13173014180601.

It is a happy number.

10608141037131 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 81 + 410 + 37 + 131 = 666.

It is not a de Polignac number, because 10608141037131 - 25 = 10608141037099 is a prime.

It is a super-2 number, since 2×106081410371312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10608141037133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5144160 + ... + 6904973.

It is an arithmetic number, because the mean of its divisors is an integer number (696572485674).

Almost surely, 210608141037131 is an apocalyptic number.

10608141037131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10608141037131 is a deficient number, since it is larger than the sum of its proper divisors (6109598619045).

10608141037131 is a wasteful number, since it uses less digits than its factorization.

10608141037131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12058043 (or 12058040 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10608141037131 in words is "ten trillion, six hundred eight billion, one hundred forty-one million, thirty-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 8893 26679 80037 97823 293469 880407 12049133 36147399 108442197 132540463 397621389 1192864167 107152939769 321458819307 964376457921 1178682337459 3536047012377 10608141037131