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103231132040 = 2356189475369
BaseRepresentation
bin110000000100100001…
…1100001000110001000
3100212110100120212010202
41200021003201012020
53142404132211130
6115231305231332
710313110100351
oct1401103410610
9325410525122
10103231132040
113a864312463
121800ba92548
13997205b5aa
144dd4230d28
152a42c37145
hex18090e1188

103231132040 has 64 divisors (see below), whose sum is σ = 238730814000. Its totient is φ = 40159088640.

The previous prime is 103231132019. The next prime is 103231132087. The reversal of 103231132040 is 40231132301.

It can be written as a sum of positive squares in 8 ways, for example, as 30427220356 + 72803911684 = 174434^2 + 269822^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20525 + ... + 454844.

Almost surely, 2103231132040 is an apocalyptic number.

103231132040 is a gapful number since it is divisible by the number (10) 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 103231132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119365407000).

103231132040 is an abundant number, since it is smaller than the sum of its proper divisors (135499681960).

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

103231132040 is a wasteful number, since it uses less digits than its factorization.

103231132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475530 (or 475526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103231132040 its reverse (40231132301), we get a palindrome (143462264341).

The spelling of 103231132040 in words is "one hundred three billion, two hundred thirty-one million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 89 122 178 244 305 356 445 488 610 712 890 1220 1780 2440 3560 5429 10858 21716 27145 43432 54290 108580 217160 475369 950738 1901476 2376845 3802952 4753690 9507380 19014760 28997509 42307841 57995018 84615682 115990036 144987545 169231364 211539205 231980072 289975090 338462728 423078410 579950180 846156820 1159900360 1692313640 2580778301 5161556602 10323113204 12903891505 20646226408 25807783010 51615566020 103231132040