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20402232120 = 233253115112107
BaseRepresentation
bin10011000000000100…
…010101101100111000
31221122212101202222200
4103000010111230320
5313240432411440
613212254350200
71321405053204
oct230004255470
957585352880
1020402232120
11871a589a66
123b547bb360
131c01b1b1ca
14db78abb04
157e6220c30
hex4c0115b38

20402232120 has 192 divisors, whose sum is σ = 68905175040. Its totient is φ = 5229792000.

The previous prime is 20402232031. The next prime is 20402232143. The reversal of 20402232120 is 2123220402.

20402232120 is a `hidden beast` number, since 20 + 402 + 232 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20402232093 and 20402232102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679107 + ... + 1691213.

It is an arithmetic number, because the mean of its divisors is an integer number (358881120).

Almost surely, 220402232120 is an apocalyptic number.

20402232120 is a gapful number since it is divisible by the number (20) 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 20402232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34452587520).

20402232120 is an abundant number, since it is smaller than the sum of its proper divisors (48502942920).

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

20402232120 is a wasteful number, since it uses less digits than its factorization.

20402232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 12299 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20402232120 its reverse (2123220402), we get a palindrome (22525452522).

The spelling of 20402232120 in words is "twenty billion, four hundred two million, two hundred thirty-two thousand, one hundred twenty".