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22131230313033 = 34273225065593
BaseRepresentation
bin1010000100000110101000…
…00111110000101001001001
32220100201120111021222110000
411002003110013300221021
510400044224430004113
6115022540304113213
74442633342543532
oct502032407605111
986321514258400
1022131230313033
117062890608386
122595220305809
13c46c735986ba
1456722b757689
15285a3dbee373
hex1420d41f0a49

22131230313033 has 10 divisors (see below), whose sum is σ = 33060232936874. Its totient is φ = 14754153541968.

The previous prime is 22131230313011. The next prime is 22131230313053. The reversal of 22131230313033 is 33031303213122.

22131230313033 is a `hidden beast` number, since 2 + 2 + 1 + 312 + 3 + 0 + 313 + 0 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17116729994169 + 5014500318864 = 4137237^2 + 2239308^2 .

It is not a de Polignac number, because 22131230313033 - 220 = 22131229264457 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22131230312988 and 22131230313006.

It is not an unprimeable number, because it can be changed into a prime (22131230313053) 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 9 ways as a sum of consecutive naturals, for example, 136612532716 + ... + 136612532877.

Almost surely, 222131230313033 is an apocalyptic number.

It is an amenable number.

22131230313033 is a deficient number, since it is larger than the sum of its proper divisors (10929002623841).

22131230313033 is an equidigital number, since it uses as much as digits as its factorization.

22131230313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273225065605 (or 273225065596 counting only the distinct ones).

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

Adding to 22131230313033 its reverse (33031303213122), we get a palindrome (55162533526155).

The spelling of 22131230313033 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred thirty million, three hundred thirteen thousand, thirty-three".

Divisors: 1 3 9 27 81 273225065593 819675196779 2459025590337 7377076771011 22131230313033