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131753696450 = 2522635073929
BaseRepresentation
bin111101010110100100…
…0011101110011000010
3110121002010211020220012
41322231020131303002
54124312421241300
6140305442544522
712342656640665
oct1725510356302
9417063736805
10131753696450
1150970588242
1221650068142
13c569301b3c
14653c36b6dc
153661cc2435
hex1ead21dcc2

131753696450 has 12 divisors (see below), whose sum is σ = 245061875490. Its totient is φ = 52701478560.

The previous prime is 131753696447. The next prime is 131753696491. The reversal of 131753696450 is 54696357131.

It can be written as a sum of positive squares in 3 ways, for example, as 107120707849 + 24632988601 = 327293^2 + 156949^2 .

It is a super-3 number, since 3×1317536964503 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50), and also a Moran number because the ratio is a prime number: 2635073929 = 131753696450 / (1 + 3 + 1 + 7 + 5 + 3 + 6 + 9 + 6 + 4 + 5 + 0).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1317536915 + ... + 1317537014.

Almost surely, 2131753696450 is an apocalyptic number.

131753696450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131753696450 is a deficient number, since it is larger than the sum of its proper divisors (113308179040).

131753696450 is a wasteful number, since it uses less digits than its factorization.

131753696450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635073941 (or 2635073936 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 50.

The spelling of 131753696450 in words is "one hundred thirty-one billion, seven hundred fifty-three million, six hundred ninety-six thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 2635073929 5270147858 13175369645 26350739290 65876848225 131753696450