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100431362040 = 23351944048843
BaseRepresentation
bin101110110001000101…
…1001111011111111000
3100121020020022210201120
41131202023033133320
53121140412041130
6114045412345240
710153532330532
oct1354213173770
9317206283646
10100431362040
1139657981859
121756a315220
139616cb1c59
144c0a46a852
15292c045910
hex17622cf7f8

100431362040 has 64 divisors (see below), whose sum is σ = 317151676800. Its totient is φ = 25372132992.

The previous prime is 100431362033. The next prime is 100431362041. The reversal of 100431362040 is 40263134001.

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 100431362040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431362041) 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, 22022142 + ... + 22026701.

It is an arithmetic number, because the mean of its divisors is an integer number (4955494950).

Almost surely, 2100431362040 is an apocalyptic number.

100431362040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100431362040 is an abundant number, since it is smaller than the sum of its proper divisors (216720314760).

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

100431362040 is a wasteful number, since it uses less digits than its factorization.

100431362040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44048876 (or 44048872 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100431362040 its reverse (40263134001), we get a palindrome (140694496041).

The spelling of 100431362040 in words is "one hundred billion, four hundred thirty-one million, three hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 44048843 88097686 132146529 176195372 220244215 264293058 352390744 440488430 528586116 660732645 836928017 880976860 1057172232 1321465290 1673856034 1761953720 2510784051 2642930580 3347712068 4184640085 5021568102 5285861160 6695424136 8369280170 10043136204 12553920255 16738560340 20086272408 25107840510 33477120680 50215681020 100431362040