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132313131240 = 233510710304761
BaseRepresentation
bin111101100111001111…
…0100010100011101000
3110122112010111111011020
41323032132202203220
54131434130144430
6140441145332440
712362562026133
oct1731636424350
9418463444136
10132313131240
1151128349944
1221787497120
13c628196844
14659279521a
153695e7ab10
hex1ece7a28e8

132313131240 has 64 divisors (see below), whose sum is σ = 400649146560. Its totient is φ = 34953745920.

The previous prime is 132313131217. The next prime is 132313131257. The reversal of 132313131240 is 42131313231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132313131240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5139541 + ... + 5165220.

It is an arithmetic number, because the mean of its divisors is an integer number (6260142915).

Almost surely, 2132313131240 is an apocalyptic number.

132313131240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132313131240 is an abundant number, since it is smaller than the sum of its proper divisors (268336015320).

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

132313131240 is a wasteful number, since it uses less digits than its factorization.

132313131240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304882 (or 10304878 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132313131240 its reverse (42131313231), we get a palindrome (174444444471).

The spelling of 132313131240 in words is "one hundred thirty-two billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 10304761 20609522 30914283 41219044 51523805 61828566 82438088 103047610 123657132 154571415 206095220 247314264 309142830 412190440 618285660 1102609427 1236571320 2205218854 3307828281 4410437708 5513047135 6615656562 8820875416 11026094270 13231313124 16539141405 22052188540 26462626248 33078282810 44104377080 66156565620 132313131240