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2002230023013 = 341119971219301
BaseRepresentation
bin11101001000101110001…
…101011001001101100101
321002102002212000202110000
4131020232031121031211
5230301031341214023
64131451202051513
7264441061246623
oct35105615311545
97072085022400
102002230023013
11702160717110
12284066949b99
13116a6a57830c
146cca0b04513
1537138b7a243
hex1d22e359365

2002230023013 has 80 divisors (see below), whose sum is σ = 3470035947840. Its totient is φ = 1137753216000.

The previous prime is 2002230022997. The next prime is 2002230023063. The reversal of 2002230023013 is 3103200322002.

It is a happy number.

2002230023013 is a `hidden beast` number, since 200 + 2 + 230 + 0 + 230 + 1 + 3 = 666.

It is not a de Polignac number, because 2002230023013 - 24 = 2002230022997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002230023063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1032463 + ... + 2251763.

It is an arithmetic number, because the mean of its divisors is an integer number (43375449348).

Almost surely, 22002230023013 is an apocalyptic number.

It is an amenable number.

2002230023013 is a deficient number, since it is larger than the sum of its proper divisors (1467805924827).

2002230023013 is a wasteful number, since it uses less digits than its factorization.

2002230023013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219440 (or 1219431 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2002230023013 its reverse (3103200322002), we get a palindrome (5105430345015).

The spelling of 2002230023013 in words is "two trillion, two billion, two hundred thirty million, twenty-three thousand, thirteen".

Divisors: 1 3 9 11 19 27 33 57 81 97 99 171 209 291 297 513 627 873 891 1067 1539 1843 1881 2619 3201 5529 5643 7857 9603 16587 16929 20273 28809 49761 60819 86427 149283 182457 547371 1219301 1642113 3657903 10973709 13412311 23166719 32921127 40236933 69500157 98763381 118272197 120710799 208500471 254833909 354816591 362132397 625501413 764501727 1064449773 1086397191 1300994167 1876504239 2247171743 2293505181 3193349319 3902982501 6741515229 6880515543 9580047957 11708947503 20224545687 20641546629 24718889173 35126842509 60673637061 74156667519 105380527527 182020911183 222470002557 667410007671 2002230023013