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10131334441104 = 2431372915373987
BaseRepresentation
bin1001001101101110001010…
…0101110010100010010000
31022212112202010011010111210
42103123202211302202100
52311442433104103404
633314134253540120
72063651624565432
oct223334245624220
938775663133453
1010131334441104
113256747194538
12117762b4a4640
135864c4636576
14270505922652
15128814eeb689
hex936e2972890

10131334441104 has 40 divisors (see below), whose sum is σ = 26174522049760. Its totient is φ = 3376865276928.

The previous prime is 10131334441103. The next prime is 10131334441117. The reversal of 10131334441104 is 40114443313101.

It is not an unprimeable number, because it can be changed into a prime (10131334441103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7028002 + ... + 8345985.

It is an arithmetic number, because the mean of its divisors is an integer number (654363051244).

Almost surely, 210131334441104 is an apocalyptic number.

It is an amenable number.

10131334441104 is an abundant number, since it is smaller than the sum of its proper divisors (16043187608656).

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

10131334441104 is a wasteful number, since it uses less digits than its factorization.

10131334441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15387727 (or 15387721 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10131334441104 its reverse (40114443313101), we get a palindrome (50245777754205).

The spelling of 10131334441104 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-four million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 13729 27458 41187 54916 82374 109832 164748 219664 329496 658992 15373987 30747974 46121961 61495948 92243922 122991896 184487844 245983792 368975688 737951376 211069467523 422138935046 633208402569 844277870092 1266416805138 1688555740184 2532833610276 3377111480368 5065667220552 10131334441104