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23002133233311 = 3317173289673873
BaseRepresentation
bin1010011101011100110011…
…11110101111111010011111
310000102222112012210021002000
411032232121332233322133
511003331332101431221
6120531011212133343
74562564206326051
oct516563176577237
9100388465707060
1023002133233311
117369171600551
1226b5b73a67253
13cab126a6936b
145974485b18d1
1529d511a08e26
hex14eb99fafe9f

23002133233311 has 32 divisors (see below), whose sum is σ = 36290342934720. Its totient is φ = 14349284923392.

The previous prime is 23002133233291. The next prime is 23002133233333. The reversal of 23002133233311 is 11333233120032.

23002133233311 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 1 + 3 + 323 + 331 + 1 = 666.

It is not a de Polignac number, because 23002133233311 - 214 = 23002133216927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23002133243311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144757530 + ... + 144916343.

It is an arithmetic number, because the mean of its divisors is an integer number (1134073216710).

Almost surely, 223002133233311 is an apocalyptic number.

23002133233311 is a deficient number, since it is larger than the sum of its proper divisors (13288209701409).

23002133233311 is a wasteful number, since it uses less digits than its factorization.

23002133233311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289674072 (or 289674066 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 23002133233311 its reverse (11333233120032), we get a palindrome (34335366353343).

The spelling of 23002133233311 in words is "twenty-three trillion, two billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 9 17 27 51 153 173 459 519 1557 2941 4671 8823 26469 79407 289673873 869021619 2607064857 4924455841 7821194571 14773367523 44320102569 50113580029 132960307707 150340740087 451022220261 851930860493 1353066660783 2555792581479 7667377744437 23002133233311