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119080917000 = 23325317376481
BaseRepresentation
bin110111011100111000…
…1101001100000001000
3102101100221202100122100
41232321301221200020
53422334203321000
6130412141153400
711413636044063
oct1567161514010
9371327670570
10119080917000
11465580894a1
121b0b3b5b860
13b2c996ba86
145a9925d8da
15316e459a00
hex1bb9c69808

119080917000 has 192 divisors, whose sum is σ = 404825344560. Its totient is φ = 31570944000.

The previous prime is 119080916897. The next prime is 119080917017. The reversal of 119080917000 is 719080911.

It can be written as a sum of positive squares in 8 ways, for example, as 300051684 + 118780865316 = 17322^2 + 344646^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1518760 + ... + 1595240.

Almost surely, 2119080917000 is an apocalyptic number.

119080917000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119080917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202412672280).

119080917000 is an abundant number, since it is smaller than the sum of its proper divisors (285744427560).

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

119080917000 is a wasteful number, since it uses less digits than its factorization.

119080917000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76681 (or 76664 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

Adding to 119080917000 its reverse (719080911), we get a palindrome (119799997911).

It can be divided in two parts, 119080 and 917000, that added together give a triangular number (1036080 = T1439).

The spelling of 119080917000 in words is "one hundred nineteen billion, eighty million, nine hundred seventeen thousand".