Search a number
-
+
100430434443402 = 23372359195791437
BaseRepresentation
bin10110110101011101001000…
…010111101010000010001010
3111011121001111122122210222000
4112311131020113222002022
5101130423012204142102
6553333034334411430
730103600534430040
oct2665351027520212
9434531448583860
10100430434443402
112a000343033338
12b320111360b76
13440671ab5a27b
141ab2c04dcc390
15b9265d00b01c
hex5b57485ea08a

100430434443402 has 128 divisors (see below), whose sum is σ = 270662083891200. Its totient is φ = 26981626212288.

The previous prime is 100430434443377. The next prime is 100430434443511. The reversal of 100430434443402 is 204344434034001.

100430434443402 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 304 + 3 + 4 + 4 + 4 + 340 + 2 = 666.

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, 97382773 + ... + 98408664.

It is an arithmetic number, because the mean of its divisors is an integer number (2114547530400).

Almost surely, 2100430434443402 is an apocalyptic number.

100430434443402 is an abundant number, since it is smaller than the sum of its proper divisors (170231649447798).

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

100430434443402 is a wasteful number, since it uses less digits than its factorization.

100430434443402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195791537 (or 195791531 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 100430434443402 its reverse (204344434034001), we get a palindrome (304774868477403).

The spelling of 100430434443402 in words is "one hundred trillion, four hundred thirty billion, four hundred thirty-four million, four hundred forty-three thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 59 63 69 118 126 138 161 177 189 207 322 354 378 413 414 483 531 621 826 966 1062 1239 1242 1357 1449 1593 2478 2714 2898 3186 3717 4071 4347 7434 8142 8694 9499 11151 12213 18998 22302 24426 28497 36639 56994 73278 85491 170982 256473 512946 195791437 391582874 587374311 1174748622 1370540059 1762122933 2741080118 3524245866 4111620177 4503203051 5286368799 8223240354 9006406102 10572737598 11551694783 12334860531 13509609153 23103389566 24669721062 27019218306 31522421357 34655084349 37004581593 40528827459 63044842714 69310168698 74009163186 80861863481 81057654918 94567264071 103965253047 121586482377 161723726962 189134528142 207930506094 242585590443 243172964754 265688980009 283701792213 311895759141 485171180886 531377960018 567403584426 623791518282 727756771329 797066940027 851105376639 1455513542658 1594133880054 1702210753278 1859822860063 2183270313987 2391200820081 3719645720126 4366540627974 4782401640162 5579468580189 7173602460243 11158937160378 14347204920486 16738405740567 33476811481134 50215217221701 100430434443402