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2002210202132 = 2272329711509967
BaseRepresentation
bin11101001000101101000…
…001110010001000010100
321002102001110201202022022
4131020231001302020110
5230301011302432012
64131445213152312
7264440430625040
oct35105501621024
97072043652268
102002210202132
11702150509418
1228406018b698
13116a6642859a
146cc9c225020
1537137062472
hex1d22d072214

2002210202132 has 96 divisors (see below), whose sum is σ = 4383497502720. Its totient is φ = 781316807040.

The previous prime is 2002210202131. The next prime is 2002210202159. The reversal of 2002210202132 is 2312020122002.

It is a self number, because there is not a number n which added to its sum of digits gives 2002210202132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002210202131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571013 + ... + 2080979.

It is an arithmetic number, because the mean of its divisors is an integer number (45661432320).

Almost surely, 22002210202132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002210202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191748751360).

2002210202132 is an abundant number, since it is smaller than the sum of its proper divisors (2381287300588).

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

2002210202132 is a wasteful number, since it uses less digits than its factorization.

2002210202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510101 (or 1510099 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2002210202132 its reverse (2312020122002), we get a palindrome (4314230324134).

The spelling of 2002210202132 in words is "two trillion, two billion, two hundred ten million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 29 46 58 71 92 116 142 161 203 284 322 406 497 644 667 812 994 1334 1633 1988 2059 2668 3266 4118 4669 6532 8236 9338 11431 14413 18676 22862 28826 45724 47357 57652 94714 189428 331499 662998 1325996 1509967 3019934 6039868 10569769 21139538 34729241 42279076 43789043 69458482 87578086 107207657 138916964 175156172 214415314 243104687 306523301 428830628 486209374 613046602 750453599 972418748 1007147989 1226093204 1500907198 2014295978 2465776111 3001814396 3109022053 4028591956 4931552222 6218044106 7050035923 9863104444 12436088212 14100071846 17260432777 21763154371 28200143692 34520865554 43526308742 69041731108 71507507219 87052617484 143015014438 286030028876 500552550533 1001105101066 2002210202132