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100204434120 = 23357119290993
BaseRepresentation
bin101110101010010100…
…1100101001011001000
3100120122102022200010210
41131110221211023020
53120204313342440
6114011104441120
710145105431230
oct1352451451310
9316572280123
10100204434120
113955087751a
12175063191a0
1395abc8a08b
144bc8278cc0
15291716ca80
hex1754a652c8

100204434120 has 64 divisors (see below), whose sum is σ = 343558062720. Its totient is φ = 22903870464.

The previous prime is 100204434119. The next prime is 100204434151. The reversal of 100204434120 is 21434402001.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 59644657 + ... + 59646336.

It is an arithmetic number, because the mean of its divisors is an integer number (5368094730).

Almost surely, 2100204434120 is an apocalyptic number.

100204434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100204434120 is an abundant number, since it is smaller than the sum of its proper divisors (243353628600).

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

100204434120 is a wasteful number, since it uses less digits than its factorization.

100204434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119291014 (or 119291010 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100204434120 its reverse (21434402001), we get a palindrome (121638836121).

The spelling of 100204434120 in words is "one hundred billion, two hundred four million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 119290993 238581986 357872979 477163972 596454965 715745958 835036951 954327944 1192909930 1431491916 1670073902 1789364895 2385819860 2505110853 2862983832 3340147804 3578729790 4175184755 4771639720 5010221706 6680295608 7157459580 8350369510 10020443412 12525554265 14314919160 16700739020 20040886824 25051108530 33401478040 50102217060 100204434120