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2002022130240 = 2632511231185323
BaseRepresentation
bin11101001000100001110…
…100010110001001000000
321002101120100211201011200
4131020201310112021000
5230300120131131430
64131414414141200
7264432655220346
oct35104164261100
97071510751150
102002022130240
11702064333200
122840091b1800
13116a36489642
146cc81269996
15371257b2460
hex1d221d16240

2002022130240 has 504 divisors, whose sum is σ = 7813247979264. Its totient is φ = 469680076800.

The previous prime is 2002022130167. The next prime is 2002022130307. The reversal of 2002022130240 is 420312202002.

2002022130240 is a `hidden beast` number, since 200 + 2 + 0 + 221 + 3 + 0 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10710219 + ... + 10895541.

Almost surely, 22002022130240 is an apocalyptic number.

2002022130240 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 2002022130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906623989632).

2002022130240 is an abundant number, since it is smaller than the sum of its proper divisors (5811225849024).

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

2002022130240 is a wasteful number, since it uses less digits than its factorization.

2002022130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185399 (or 185375 counting only the distinct ones).

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

Adding to 2002022130240 its reverse (420312202002), we get a palindrome (2422334332242).

The spelling of 2002022130240 in words is "two trillion, two billion, twenty-two million, one hundred thirty thousand, two hundred forty".