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119986032100 = 2252112472672
BaseRepresentation
bin110111110111110111…
…0011000110111100100
3102110201000212222010211
41233233232120313210
53431212411011400
6131042033025204
711445236305444
oct1575756306744
9373630788124
10119986032100
1146981a94900
121b3070b5204
13b41233673c
145b4354c124
1531c3b46dba
hex1befb98de4

119986032100 has 243 divisors, whose sum is σ = 296839685289. Its totient is φ = 42065601600.

The previous prime is 119986032071. The next prime is 119986032169. The reversal of 119986032100 is 1230689911.

The square root of 119986032100 is 346390.

It is a perfect power (a square), and thus also a powerful number.

119986032100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43194971556 + 76791060544 = 207834^2 + 277112^2 .

It is a super-3 number, since 3×1199860321003 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1790836267 + ... + 1790836333.

Almost surely, 2119986032100 is an apocalyptic number.

119986032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

119986032100 is the 346390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119986032100

119986032100 is an abundant number, since it is smaller than the sum of its proper divisors (176853653189).

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

119986032100 is a wasteful number, since it uses less digits than its factorization.

119986032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 119986032100 in words is "one hundred nineteen billion, nine hundred eighty-six million, thirty-two thousand, one hundred".