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131144031232 = 2101735771283
BaseRepresentation
bin111101000100011001…
…0110001110000000000
3110112111122122001102221
41322020302301300000
54122040332444412
6140125143420424
712321604605244
oct1721062616000
9415448561387
10131144031232
1150688428795
12214bba54714
13c49cc00ba6
1464c13ca424
1536284e5b07
hex1e88cb1c00

131144031232 has 88 divisors (see below), whose sum is σ = 264338215056. Its totient is φ = 65029275648.

The previous prime is 131144031229. The next prime is 131144031241. The reversal of 131144031232 is 232130441131.

It is a junction number, because it is equal to n+sod(n) for n = 131144031197 and 131144031206.

It is a congruent number.

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, 102216063 + ... + 102217345.

Almost surely, 2131144031232 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 131144031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132169107528).

131144031232 is an abundant number, since it is smaller than the sum of its proper divisors (133194183824).

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

131144031232 is a wasteful number, since it uses less digits than its factorization.

131144031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 131144031232 its reverse (232130441131), we get a palindrome (363274472363).

The spelling of 131144031232 in words is "one hundred thirty-one billion, one hundred forty-four million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 577 692 1024 1154 1283 1384 2308 2566 2768 4616 5132 5536 9232 10264 11072 18464 20528 22144 36928 41056 44288 73856 82112 88576 99821 147712 164224 177152 199642 221959 295424 328448 399284 443918 590848 656896 740291 798568 887836 1313792 1480582 1597136 1775672 2961164 3194272 3551344 5922328 6388544 7102688 11844656 12777088 14205376 23689312 25554176 28410752 47378624 51108352 56821504 94757248 102216704 113643008 128070343 189514496 227286016 256140686 379028992 512281372 758057984 1024562744 2049125488 4098250976 8196501952 16393003904 32786007808 65572015616 131144031232