Search a number
-
+
131567761983 = 373378114261
BaseRepresentation
bin111101010001000001…
…1001011101000111111
3110120121011221210202110
41322202003023220333
54123422321340413
6140235201425103
712335241345000
oct1724203135077
9416534853673
10131567761983
1150885631999
12215b993b193
13c539930a48
1465217ab1a7
1536507e58c3
hex1ea20cba3f

131567761983 has 64 divisors (see below), whose sum is σ = 210413235200. Its totient is φ = 73042300800.

The previous prime is 131567761979. The next prime is 131567762021. The reversal of 131567761983 is 389167765131.

It is not a de Polignac number, because 131567761983 - 22 = 131567761979 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131567761903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30875073 + ... + 30879333.

It is an arithmetic number, because the mean of its divisors is an integer number (3287706800).

Almost surely, 2131567761983 is an apocalyptic number.

131567761983 is a deficient number, since it is larger than the sum of its proper divisors (78845473217).

131567761983 is an equidigital number, since it uses as much as digits as its factorization.

131567761983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5119 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 57.

The spelling of 131567761983 in words is "one hundred thirty-one billion, five hundred sixty-seven million, seven hundred sixty-one thousand, nine hundred eighty-three".

Divisors: 1 3 7 21 37 49 111 147 259 343 777 811 1029 1813 2433 4261 5439 5677 12691 12783 17031 29827 30007 38073 39739 89481 90021 119217 157657 208789 210049 278173 472971 626367 630147 834519 1103599 1461523 1470343 3310797 3455671 4384569 4411029 7725193 10292401 10367013 23175579 24189697 30877203 54076351 72569091 127859827 162229053 169327879 383579481 507983637 895018789 1185295153 2685056367 3555885459 6265131523 18795394569 43855920661 131567761983