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2002133010231 = 331933113133947
BaseRepresentation
bin11101001000101000011…
…011010100011100110111
321002101212002110222221000
4131020220123110130313
5230300332022311411
64131433414454343
7264435502535544
oct35105033243467
97071762428830
102002133010231
11702110985a62
1228403a3643b3
13116a5343c3c3
146cc91c8dbcb
15371303b5956
hex1d2286d4737

2002133010231 has 64 divisors (see below), whose sum is σ = 3001394672640. Its totient is φ = 1319007006720.

The previous prime is 2002133010167. The next prime is 2002133010257. The reversal of 2002133010231 is 1320103312002.

2002133010231 is a `hidden beast` number, since 200 + 2 + 1 + 330 + 102 + 31 = 666.

It is not a de Polignac number, because 2002133010231 - 26 = 2002133010167 is a prime.

It is a super-2 number, since 2×20021330102312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002133010431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507252400 + ... + 507256346.

It is an arithmetic number, because the mean of its divisors is an integer number (46896791760).

Almost surely, 22002133010231 is an apocalyptic number.

2002133010231 is a deficient number, since it is larger than the sum of its proper divisors (999261662409).

2002133010231 is a wasteful number, since it uses less digits than its factorization.

2002133010231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2002133010231 its reverse (1320103312002), we get a palindrome (3322236322233).

The spelling of 2002133010231 in words is "two trillion, two billion, one hundred thirty-three million, ten thousand, two hundred thirty-one".

Divisors: 1 3 9 27 193 311 313 579 933 939 1737 2799 2817 3947 5211 8397 8451 11841 35523 60023 60409 97343 106569 180069 181227 292029 540207 543681 761771 876087 1227517 1235411 1620621 1631043 2285313 2628261 3682551 3706233 6855939 11047653 11118699 18787199 20567817 33142959 33356097 56361597 169084791 236910781 238434323 384212821 507254373 710732343 715302969 1152638463 2132197029 2145908907 3457915389 6396591087 6437726721 10373746167 74153074453 222459223359 667377670077 2002133010231