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114011202000 = 24353127157953
BaseRepresentation
bin110101000101110011…
…0001110000111010000
3101220021122012011002010
41222023212032013100
53331443331431000
6124213115422520
711144206140633
oct1521346160720
9356248164063
10114011202000
1144396395593
121a11a154a40
13a99c541307
145737c11c1a
152e74331d50
hex1a8b98e1d0

114011202000 has 320 divisors, whose sum is σ = 373217255424. Its totient is φ = 29940019200.

The previous prime is 114011201959. The next prime is 114011202017. The reversal of 114011202000 is 202110411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 119633524 + ... + 119634476.

Almost surely, 2114011202000 is an apocalyptic number.

114011202000 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 114011202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186608627712).

114011202000 is an abundant number, since it is smaller than the sum of its proper divisors (259206053424).

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

114011202000 is a wasteful number, since it uses less digits than its factorization.

114011202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 114011202000 its reverse (202110411), we get a palindrome (114213312411).

The spelling of 114011202000 in words is "one hundred fourteen billion, eleven million, two hundred two thousand".