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100430005140 = 22335473957053
BaseRepresentation
bin101110110001000011…
…0000100001110010100
3100121020010202212102000
41131202012010032110
53121140040131030
6114045323315300
710153514646543
oct1354206041624
9317203685360
10100430005140
1139657135353
121756997bb30
13961692845a
144c0a1d615a
15292bd78860
hex1762184394

100430005140 has 96 divisors (see below), whose sum is σ = 319096834560. Its totient is φ = 26211512448.

The previous prime is 100430005129. The next prime is 100430005141. The reversal of 100430005140 is 41500034001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100430005141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953147 + ... + 2003906.

It is an arithmetic number, because the mean of its divisors is an integer number (3323925360).

Almost surely, 2100430005140 is an apocalyptic number.

100430005140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100430005140 is an abundant number, since it is smaller than the sum of its proper divisors (218666829420).

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

100430005140 is a wasteful number, since it uses less digits than its factorization.

100430005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957118 (or 3957110 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 100430005140 its reverse (41500034001), we get a palindrome (141930039141).

The spelling of 100430005140 in words is "one hundred billion, four hundred thirty million, five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 3957053 7914106 11871159 15828212 19785265 23742318 35613477 39570530 47484636 59355795 71226954 79141060 106840431 118711590 142453908 178067385 185981491 213680862 237423180 356134770 371962982 427361724 534202155 557944473 712269540 743925964 929907455 1068404310 1115888946 1673833419 1859814910 2136808620 2231777892 2789722365 3347666838 3719629820 5021500257 5579444730 6695333676 8369167095 10043000514 11158889460 16738334190 20086001028 25107501285 33476668380 50215002570 100430005140