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2002331320332 = 223761516775629
BaseRepresentation
bin11101001000110100001…
…111110100000000001100
321002102100220122012020120
4131020310033310000030
5230301233304222312
64131505221144540
7264443431254240
oct35106417640014
97072326565216
102002331320332
11702202914302
1228409485b150
13116a85554465
146ccb0352420
15371429d928c
hex1d2343f400c

2002331320332 has 96 divisors (see below), whose sum is σ = 5428205905920. Its totient is φ = 562599717120.

The previous prime is 2002331320229. The next prime is 2002331320333. The reversal of 2002331320332 is 2330231332002.

It is not an unprimeable number, because it can be changed into a prime (2002331320333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26437894 + ... + 26513522.

It is an arithmetic number, because the mean of its divisors is an integer number (56543811520).

Almost surely, 22002331320332 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 2002331320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714102952960).

2002331320332 is an abundant number, since it is smaller than the sum of its proper divisors (3425874585588).

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

2002331320332 is a wasteful number, since it uses less digits than its factorization.

2002331320332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80871 (or 80869 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2002331320332 its reverse (2330231332002), we get a palindrome (4332562652334).

The spelling of 2002331320332 in words is "two trillion, two billion, three hundred thirty-one million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 5167 10334 15501 20668 31002 36169 62004 72338 75629 108507 144676 151258 217014 226887 302516 315187 434028 453774 529403 630374 907548 945561 1058806 1260748 1588209 1891122 2117612 2206309 3176418 3782244 4412618 4613369 6352836 6618927 8825236 9226738 13237854 13840107 18453476 26475708 27680214 32293583 55360428 64587166 96880749 129174332 193761498 387522996 390775043 781550086 1172325129 1563100172 2344650258 2735425301 4689300516 5470850602 8206275903 10941701204 16412551806 23837277623 32825103612 47674555246 71511832869 95349110492 143023665738 166860943361 286047331476 333721886722 500582830083 667443773444 1001165660166 2002331320332