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131002113032 = 23710927777479
BaseRepresentation
bin111101000000001010…
…1011001110000001000
3110112010202120212021022
41322000111121300020
54121243020104112
6140103113532012
712315232405460
oct1720025316010
9415122525238
10131002113032
115061530651a
1221480414008
13c4796a171b
1464aa606ba0
15361ad10d72
hex1e80559c08

131002113032 has 64 divisors (see below), whose sum is σ = 284320608000. Its totient is φ = 55427141376.

The previous prime is 131002113031. The next prime is 131002113037. The reversal of 131002113032 is 230311200131.

It is a self number, because there is not a number n which added to its sum of digits gives 131002113032.

It is not an unprimeable number, because it can be changed into a prime (131002113031) 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, 1652069 + ... + 1729547.

It is an arithmetic number, because the mean of its divisors is an integer number (4442509500).

Almost surely, 2131002113032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131002113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142160304000).

131002113032 is an abundant number, since it is smaller than the sum of its proper divisors (153318494968).

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

131002113032 is a wasteful number, since it uses less digits than its factorization.

131002113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77878 (or 77874 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131002113032 its reverse (230311200131), we get a palindrome (361313313163).

The spelling of 131002113032 in words is "one hundred thirty-one billion, two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 109 218 277 436 554 763 872 1108 1526 1939 2216 3052 3878 6104 7756 15512 30193 60386 77479 120772 154958 211351 241544 309916 422702 542353 619832 845404 1084706 1690808 2169412 4338824 8445211 16890422 21461683 33780844 42923366 59116477 67561688 85846732 118232954 150231781 171693464 236465908 300463562 472931816 600927124 1201854248 2339323447 4678646894 9357293788 16375264129 18714587576 32750528258 65501056516 131002113032