Search a number
-
+
22311013222031 = 173137393929639
BaseRepresentation
bin1010001001010101100000…
…00001001000011010001111
32220222220121212120000211012
411010222300001020122033
510411020423341101111
6115241312111515435
74461626464214342
oct504526001103217
986886555500735
1022311013222031
117122058353906
122604035228b7b
13c5abc5250621
14571c047a2459
1528a56232448b
hex144ab004868f

22311013222031 has 8 divisors (see below), whose sum is σ = 22456322612640. Its totient is φ = 22165891693792.

The previous prime is 22311013222021. The next prime is 22311013222063. The reversal of 22311013222031 is 13022231011322.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22311013222031 is a prime.

It is a super-3 number, since 3×223110132220313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22311013221988 and 22311013222006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22311013222021) 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 7 ways as a sum of consecutive naturals, for example, 46727291 + ... + 47202348.

It is an arithmetic number, because the mean of its divisors is an integer number (2807040326580).

Almost surely, 222311013222031 is an apocalyptic number.

22311013222031 is a deficient number, since it is larger than the sum of its proper divisors (145309390609).

22311013222031 is a wasteful number, since it uses less digits than its factorization.

22311013222031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93931185.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 22311013222031 its reverse (13022231011322), we get a palindrome (35333244233353).

The spelling of 22311013222031 in words is "twenty-two trillion, three hundred eleven billion, thirteen million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 173 1373 237529 93929639 16249827547 128965394347 22311013222031