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100434318520 = 2353613694951
BaseRepresentation
bin101110110001001011…
…0100001010010111000
3100121020102220000020211
41131202112201102320
53121142141143040
6114050000000504
710153566423154
oct1354226412270
9317212800224
10100434318520
1139659611028
121756b300134
1396177a8853
144c0a9da064
15292c42b8ea
hex17625a14b8

100434318520 has 32 divisors (see below), whose sum is σ = 226040087520. Its totient is φ = 40162550400.

The previous prime is 100434318463. The next prime is 100434318539. The reversal of 100434318520 is 25813434001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202956 + ... + 491995.

It is an arithmetic number, because the mean of its divisors is an integer number (7063752735).

Almost surely, 2100434318520 is an apocalyptic number.

100434318520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100434318520 is an abundant number, since it is smaller than the sum of its proper divisors (125605769000).

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

100434318520 is a wasteful number, since it uses less digits than its factorization.

100434318520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698575 (or 698571 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 100434318520 in words is "one hundred billion, four hundred thirty-four million, three hundred eighteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3613 7226 14452 18065 28904 36130 72260 144520 694951 1389902 2779804 3474755 5559608 6949510 13899020 27798040 2510857963 5021715926 10043431852 12554289815 20086863704 25108579630 50217159260 100434318520