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131020233234 = 231113917538147
BaseRepresentation
bin111101000000101101…
…0100001101000010010
3110112012000200110111220
41322001122201220102
54121312134430414
6140105002145510
712315542415162
oct1720132415022
9415160613456
10131020233234
11506245624a0
12214864b2296
13c480377337
1464acba25a2
15361c6deca9
hex1e816a1a12

131020233234 has 64 divisors (see below), whose sum is σ = 288118494720. Its totient is φ = 39390145920.

The previous prime is 131020233199. The next prime is 131020233251. The reversal of 131020233234 is 432332020131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16077949 + ... + 16086095.

It is an arithmetic number, because the mean of its divisors is an integer number (4501851480).

Almost surely, 2131020233234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131020233234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144059247360).

131020233234 is an abundant number, since it is smaller than the sum of its proper divisors (157098261486).

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

131020233234 is a wasteful number, since it uses less digits than its factorization.

131020233234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131020233234 its reverse (432332020131), we get a palindrome (563352253365).

The spelling of 131020233234 in words is "one hundred thirty-one billion, twenty million, two hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 139 278 417 834 1529 1753 3058 3506 4587 5259 8147 9174 10518 16294 19283 24441 38566 48882 57849 89617 115698 179234 243667 268851 487334 537702 731001 1132433 1462002 2264866 2680337 3397299 5360674 6794598 8041011 12456763 14281691 16082022 24913526 28563382 37370289 42845073 74740578 85690146 157098601 314197202 471295803 942591606 1985155049 3970310098 5955465147 11910930294 21836705539 43673411078 65510116617 131020233234