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119138816900 = 22521770081657
BaseRepresentation
bin110111011110100111…
…0100001001110000100
3102101111222200222101002
41232331032201032010
53422444014120100
6130422010152432
711415241143335
oct1567516411604
9371458628332
10119138816900
1146587835554
121b10b422718
13b308961b7c
145aa2c1228c
1531745952d5
hex1bbd3a1384

119138816900 has 36 divisors (see below), whose sum is σ = 273738956148. Its totient is φ = 44852259840.

The previous prime is 119138816887. The next prime is 119138816911. The reversal of 119138816900 is 9618831911.

It can be written as a sum of positive squares in 6 ways, for example, as 8394957376 + 110743859524 = 91624^2 + 332782^2 .

It is a super-2 number, since 2×1191388169002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35039129 + ... + 35042528.

It is an arithmetic number, because the mean of its divisors is an integer number (7603859893).

Almost surely, 2119138816900 is an apocalyptic number.

119138816900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

119138816900 is an abundant number, since it is smaller than the sum of its proper divisors (154600139248).

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

119138816900 is a wasteful number, since it uses less digits than its factorization.

119138816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70081688 (or 70081681 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 47.

The spelling of 119138816900 in words is "one hundred nineteen billion, one hundred thirty-eight million, eight hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 70081657 140163314 280326628 350408285 700816570 1191388169 1401633140 1752041425 2382776338 3504082850 4765552676 5956940845 7008165700 11913881690 23827763380 29784704225 59569408450 119138816900