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2002332012320 = 25525321494237
BaseRepresentation
bin11101001000110100010…
…010011100111100100000
321002102100221221100110202
4131020310102130330200
5230301233443343240
64131505244044332
7264443440165553
oct35106422347440
97072327840422
102002332012320
117022032471a2
12284094b336a8
13116a85737413
146ccb049269a
1537142ac4315
hex1d23449cf20

2002332012320 has 48 divisors (see below), whose sum is σ = 4730705772408. Its totient is φ = 800899553280.

The previous prime is 2002332012313. The next prime is 2002332012361. The reversal of 2002332012320 is 232102332002.

It can be written as a sum of positive squares in 4 ways, for example, as 1741206924304 + 261125088016 = 1319548^2 + 511004^2 .

It is a super-2 number, since 2×20023320123202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2002332012292 and 2002332012301.

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, 3804242 + ... + 4298478.

Almost surely, 22002332012320 is an apocalyptic number.

2002332012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002332012320 is an abundant number, since it is smaller than the sum of its proper divisors (2728373760088).

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

2002332012320 is a wasteful number, since it uses less digits than its factorization.

2002332012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519573 (or 519565 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2002332012320 its reverse (232102332002), we get a palindrome (2234434344322).

The spelling of 2002332012320 in words is "two trillion, two billion, three hundred thirty-two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25321 50642 101284 126605 202568 253210 405136 494237 506420 810272 988474 1012840 1976948 2025680 2471185 3953896 4051360 4942370 7907792 9884740 15815584 19769480 39538960 79077920 12514575077 25029150154 50058300308 62572875385 100116600616 125145750770 200233201232 250291501540 400466402464 500583003080 1001166006160 2002332012320