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22133211131331 = 3247439119189923
BaseRepresentation
bin1010000100001010010100…
…01011111110110111000011
32220100220200112112222022200
411002011022023332313003
510400112304022200311
6115023505024004243
74443033414325146
oct502051213766703
986326615488280
1022133211131331
1170637077434a3
122595693760683
13c471caa87c31
1456737885c05d
15285b07a73556
hex14214a2fedc3

22133211131331 has 24 divisors (see below), whose sum is σ = 32724785533440. Its totient is φ = 14408631290736.

The previous prime is 22133211131329. The next prime is 22133211131333. The reversal of 22133211131331 is 13313111233122.

22133211131331 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 321 + 1 + 1 + 3 + 1 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (22133211131329) and next prime (22133211131333).

It is not a de Polignac number, because 22133211131331 - 21 = 22133211131329 is a prime.

It is a super-2 number, since 2×221332111313312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22133211131295 and 22133211131304.

It is not an unprimeable number, because it can be changed into a prime (22133211131333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59409265 + ... + 59780658.

It is an arithmetic number, because the mean of its divisors is an integer number (1363532730560).

Almost surely, 222133211131331 is an apocalyptic number.

22133211131331 is a deficient number, since it is larger than the sum of its proper divisors (10591574402109).

22133211131331 is a wasteful number, since it uses less digits than its factorization.

22133211131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119190415 (or 119190412 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 22133211131331 its reverse (13313111233122), we get a palindrome (35446322364453).

The spelling of 22133211131331 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred eleven million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 47 141 423 439 1317 3951 20633 61899 185697 119189923 357569769 1072709307 5601926381 16805779143 50417337429 52324376197 156973128591 470919385773 2459245681259 7377737043777 22133211131331