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2002331213322 = 2311311583618229
BaseRepresentation
bin11101001000110100001…
…111011001111000001010
321002102100220102202110020
4131020310033121320022
5230301233242311242
64131505215001310
7264443430330246
oct35106417317012
97072326382406
102002331213322
11702202850970
12284094809236
13116a8551783b
146ccb0325426
15371429b76ec
hex1d2343d9e0a

2002331213322 has 64 divisors (see below), whose sum is σ = 4512505282560. Its totient is φ = 586822017600.

The previous prime is 2002331213269. The next prime is 2002331213341. The reversal of 2002331213322 is 2233121332002.

It is a junction number, because it is equal to n+sod(n) for n = 2002331213292 and 2002331213301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2929704 + ... + 3547932.

It is an arithmetic number, because the mean of its divisors is an integer number (70507895040).

Almost surely, 22002331213322 is an apocalyptic number.

2002331213322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002331213322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256252641280).

2002331213322 is an abundant number, since it is smaller than the sum of its proper divisors (2510174069238).

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

2002331213322 is a wasteful number, since it uses less digits than its factorization.

2002331213322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619859.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2002331213322 its reverse (2233121332002), we get a palindrome (4235452545324).

The spelling of 2002331213322 in words is "two trillion, two billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1583 2046 3166 4749 9498 17413 34826 49073 52239 98146 104478 147219 294438 539803 618229 1079606 1236458 1619409 1854687 3238818 3709374 6800519 13601038 19165099 20401557 38330198 40803114 57495297 114990594 210816089 421632178 632448267 978656507 1264896534 1957313014 2935969521 5871939042 10765221577 21530443154 30338351717 32295664731 60676703434 64591329462 91015055151 182030110302 333721868887 667443737774 1001165606661 2002331213322