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131816078337 = 3176142370967
BaseRepresentation
bin111101011000011011…
…0011011110000000001
3110121020111012120202110
41322300312123300001
54124424404001322
6140315552005533
712344345115246
oct1726066336001
9417214176673
10131816078337
11509a2815719
1221668b308a9
13c579203cb8
1465467695cd
1536674e5c0c
hex1eb0d9bc01

131816078337 has 16 divisors (see below), whose sum is σ = 189144001152. Its totient is φ = 81352254720.

The previous prime is 131816078333. The next prime is 131816078351. The reversal of 131816078337 is 733870618131.

It is not a de Polignac number, because 131816078337 - 22 = 131816078333 is a prime.

It is a super-2 number, since 2×1318160783372 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131816078333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21182373 + ... + 21188594.

It is an arithmetic number, because the mean of its divisors is an integer number (11821500072).

Almost surely, 2131816078337 is an apocalyptic number.

131816078337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131816078337 is a deficient number, since it is larger than the sum of its proper divisors (57327922815).

131816078337 is a wasteful number, since it uses less digits than its factorization.

131816078337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42371048.

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 131816078337 in words is "one hundred thirty-one billion, eight hundred sixteen million, seventy-eight thousand, three hundred thirty-seven".

Divisors: 1 3 17 51 61 183 1037 3111 42370967 127112901 720306439 2160919317 2584628987 7753886961 43938692779 131816078337