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20313222132231 = 37721728513911
BaseRepresentation
bin1001001111001100010100…
…11000111011001000000111
32122220220222101011110000000
410213212022120323020013
510130302434331212411
6111111433155252343
74164403403145600
oct447461230731007
978826871143000
1020313222132231
116521875368a46
122340a08baa0b3
13b446b451a412
1450324542cda7
152535d8223956
hex12798a63b207

20313222132231 has 192 divisors, whose sum is σ = 37546509726720. Its totient is φ = 10918133856000.

The previous prime is 20313222132223. The next prime is 20313222132257. The reversal of 20313222132231 is 13223122231302.

20313222132231 is a `hidden beast` number, since 2 + 0 + 313 + 2 + 2 + 21 + 322 + 3 + 1 = 666.

It is not a de Polignac number, because 20313222132231 - 23 = 20313222132223 is a prime.

It is a super-2 number, since 2×203132221322312 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20313222132195 and 20313222132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313222132211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5193867166 + ... + 5193871076.

It is an arithmetic number, because the mean of its divisors is an integer number (195554738160).

Almost surely, 220313222132231 is an apocalyptic number.

20313222132231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20313222132231 is a deficient number, since it is larger than the sum of its proper divisors (17233287594489).

20313222132231 is an equidigital number, since it uses as much as digits as its factorization.

20313222132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 20313222132231 its reverse (13223122231302), we get a palindrome (33536344363533).

The spelling of 20313222132231 in words is "twenty trillion, three hundred thirteen billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty-one".