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131005231032 = 233138931315073
BaseRepresentation
bin111101000000010000…
…1010010111110111000
3110112010222110021100210
41322000201102332320
54121244314343112
6140103304431120
712315301043034
oct1720041227670
9415128407323
10131005231032
1150617046085
12214814784a0
13c47a2239b0
1464aabb91c4
15361b229b3c
hex1e80852fb8

131005231032 has 128 divisors (see below), whose sum is σ = 357832641600. Its totient is φ = 39726415872.

The previous prime is 131005231031. The next prime is 131005231033. The reversal of 131005231032 is 230132500131.

It is an interprime number because it is at equal distance from previous prime (131005231031) and next prime (131005231033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131005231031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8683848 + ... + 8698920.

Almost surely, 2131005231032 is an apocalyptic number.

131005231032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131005231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178916320800).

131005231032 is an abundant number, since it is smaller than the sum of its proper divisors (226827410568).

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

131005231032 is a wasteful number, since it uses less digits than its factorization.

131005231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15497 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 131005231032 its reverse (230132500131), we get a palindrome (361137731163).

The spelling of 131005231032 in words is "one hundred thirty-one billion, five million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 267 312 313 356 534 626 712 939 1068 1157 1252 1878 2136 2314 2504 3471 3756 4069 4628 6942 7512 8138 9256 12207 13884 15073 16276 24414 27768 27857 30146 32552 45219 48828 55714 60292 83571 90438 97656 111428 120584 167142 180876 195949 222856 334284 361752 362141 391898 587847 668568 724282 783796 1086423 1175694 1341497 1448564 1567592 2172846 2351388 2682994 2897128 4024491 4345692 4702776 4717849 5365988 8048982 8691384 9435698 10731976 14153547 16097964 17439461 18871396 28307094 32195928 34878922 37742792 52318383 56614188 61332037 69757844 104636766 113228376 122664074 139515688 183996111 209273532 245328148 367992222 418547064 419888561 490656296 735984444 839777122 1259665683 1471968888 1679554244 2519331366 3359108488 5038662732 5458551293 10077325464 10917102586 16375653879 21834205172 32751307758 43668410344 65502615516 131005231032