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2002210202112 = 29312791019173
BaseRepresentation
bin11101001000101101000…
…001110010001000000000
321002102001110201202021120
4131020231001302020000
5230301011302431422
64131445213152240
7264440430625011
oct35105501621000
97072043652246
102002210202112
117021505093aa
1228406018b680
13116a66428583
146cc9c225008
153713706245c
hex1d22d072200

2002210202112 has 80 divisors (see below), whose sum is σ = 5338188810240. Its totient is φ = 666880929792.

The previous prime is 2002210202009. The next prime is 2002210202131. The reversal of 2002210202112 is 2112020122002.

It is a junction number, because it is equal to n+sod(n) for n = 2002210202091 and 2002210202100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454958 + ... + 2474130.

It is an arithmetic number, because the mean of its divisors is an integer number (66727360128).

Almost surely, 22002210202112 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 2002210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669094405120).

2002210202112 is an abundant number, since it is smaller than the sum of its proper divisors (3335978608128).

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

2002210202112 is a wasteful number, since it uses less digits than its factorization.

2002210202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020473 (or 1020457 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2002210202112 its reverse (2112020122002), we get a palindrome (4114230324114).

The spelling of 2002210202112 in words is "two trillion, two billion, two hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1279 1536 2558 3837 5116 7674 10232 15348 20464 30696 40928 61392 81856 122784 163712 245568 327424 491136 654848 982272 1019173 1964544 2038346 3057519 4076692 6115038 8153384 12230076 16306768 24460152 32613536 48920304 65227072 97840608 130454144 195681216 260908288 391362432 521816576 782724864 1303522267 1565449728 2607044534 3910566801 5214089068 7821133602 10428178136 15642267204 20856356272 31284534408 41712712544 62569068816 83425425088 125138137632 166850850176 250276275264 333701700352 500552550528 667403400704 1001105101056 2002210202112