Search a number
-
+
100502912430 = 23351929675559
BaseRepresentation
bin101110110011001110…
…0001011110110101110
3100121102012221221102000
41131212130023312232
53121312221144210
6114100450113130
710155361442334
oct1354634136656
9317365857360
10100502912430
1139694301708
121758a27b7a6
139628a7436b
144c15b73b54
15293347aac0
hex176670bdae

100502912430 has 128 divisors (see below), whose sum is σ = 291841920000. Its totient is φ = 24514648704.

The previous prime is 100502912371. The next prime is 100502912513. The reversal of 100502912430 is 34219205001.

100502912430 is a `hidden beast` number, since 1 + 0 + 0 + 502 + 9 + 124 + 30 = 666.

100502912430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100502912394 and 100502912403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189010 + ... + 486549.

It is an arithmetic number, because the mean of its divisors is an integer number (2280015000).

Almost surely, 2100502912430 is an apocalyptic number.

100502912430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100502912430 is an abundant number, since it is smaller than the sum of its proper divisors (191339007570).

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

100502912430 is a wasteful number, since it uses less digits than its factorization.

100502912430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675623 (or 675617 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 100502912430 in words is "one hundred billion, five hundred two million, nine hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 87 90 95 114 135 145 171 174 190 261 270 285 290 342 435 513 522 551 570 783 855 870 1026 1102 1305 1566 1653 1710 2565 2610 2755 3306 3915 4959 5130 5510 7830 8265 9918 14877 16530 24795 29754 49590 74385 148770 675559 1351118 2026677 3377795 4053354 6080031 6755590 10133385 12160062 12835621 18240093 19591211 20266770 25671242 30400155 36480186 38506863 39182422 58773633 60800310 64178105 77013726 91200465 97956055 115520589 117547266 128356210 176320899 182400930 192534315 195912110 231041178 293868165 346561767 352641798 372233009 385068630 528962697 577602945 587736330 693123534 744466018 881604495 1057925394 1116699027 1155205890 1732808835 1763208990 1861165045 2233398054 2644813485 3350097081 3465617670 3722330090 5289626970 5583495135 6700194162 10050291243 11166990270 16750485405 20100582486 33500970810 50251456215 100502912430