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131043322144 = 2574993117167
BaseRepresentation
bin111101000001011001…
…0100110100100100000
3110112020122010111112201
41322002302212210200
54121334042302034
6140111145102544
712316242600610
oct1720262464440
9415218114481
10131043322144
11506365a2539
1221492187a54
13c48509c707
1464b1c92a40
15361e751014
hex1e82ca6920

131043322144 has 48 divisors (see below), whose sum is σ = 294909043968. Its totient is φ = 56149696512.

The previous prime is 131043322099. The next prime is 131043322187. The reversal of 131043322144 is 441223340131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059849 + ... + 1177015.

It is an arithmetic number, because the mean of its divisors is an integer number (6143938416).

Almost surely, 2131043322144 is an apocalyptic number.

131043322144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131043322144 is an abundant number, since it is smaller than the sum of its proper divisors (163865721824).

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

131043322144 is a wasteful number, since it uses less digits than its factorization.

131043322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122177 (or 122169 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131043322144 its reverse (441223340131), we get a palindrome (572266662275).

The spelling of 131043322144 in words is "one hundred thirty-one billion, forty-three million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4993 9986 19972 34951 39944 69902 79888 117167 139804 159776 234334 279608 468668 559216 820169 937336 1118432 1640338 1874672 3280676 3749344 6561352 13122704 26245408 585014831 1170029662 2340059324 4095103817 4680118648 8190207634 9360237296 16380415268 18720474592 32760830536 65521661072 131043322144