Search a number
-
+
100200402414 = 23274119396129
BaseRepresentation
bin101110101010001101…
…0001100110111101110
3100120122010201211200100
41131110122030313232
53120202300334124
6114010442211530
710145026240050
oct1352432146756
9316563654610
10100200402414
1139549573432
1217504ab3ba6
1395ab1a7c58
144bc79098d0
152916b231c9
hex175468cdee

100200402414 has 48 divisors (see below), whose sum is σ = 254166887520. Its totient is φ = 27930424320.

The previous prime is 100200402403. The next prime is 100200402433. The reversal of 100200402414 is 414204002001.

100200402414 is a `hidden beast` number, since 10 + 0 + 200 + 40 + 2 + 414 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9692899 + ... + 9703230.

It is an arithmetic number, because the mean of its divisors is an integer number (5295143490).

Almost surely, 2100200402414 is an apocalyptic number.

100200402414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100200402414 is an abundant number, since it is smaller than the sum of its proper divisors (153966485106).

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

100200402414 is a wasteful number, since it uses less digits than its factorization.

100200402414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19396185 (or 19396182 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100200402414 its reverse (414204002001), we get a palindrome (514404404415).

The spelling of 100200402414 in words is "one hundred billion, two hundred million, four hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 19396129 38792258 58188387 116376774 135772903 174565161 271545806 349130322 407318709 795241289 814637418 1221956127 1590482578 2385723867 2443912254 4771447734 5566689023 7157171601 11133378046 14314343202 16700067069 33400134138 50100201207 100200402414