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22330311332013 = 3273891124333967
BaseRepresentation
bin1010001001111001011100…
…10001100101000010101101
32221001202102210100120222100
411010330232101211002231
510411324434200111023
6115254223045205313
74463211634355556
oct504745621450255
987052383316870
1022330311332013
11712a260662533
122607920100839
13c5c97c3a6809
14572b1577b32d
1528ace1647c43
hex144f2e4650ad

22330311332013 has 48 divisors (see below), whose sum is σ = 33068035503360. Its totient is φ = 14516248868352.

The previous prime is 22330311331969. The next prime is 22330311332027. The reversal of 22330311332013 is 31023311303322.

22330311332013 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 0 + 311 + 332 + 0 + 13 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22330311332013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330311332083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657394956 + ... + 657428922.

It is an arithmetic number, because the mean of its divisors is an integer number (688917406320).

Almost surely, 222330311332013 is an apocalyptic number.

It is an amenable number.

22330311332013 is a deficient number, since it is larger than the sum of its proper divisors (10737724171347).

22330311332013 is a wasteful number, since it uses less digits than its factorization.

22330311332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45378 (or 45375 counting only the distinct ones).

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

Adding to 22330311332013 its reverse (31023311303322), we get a palindrome (53353622635335).

The spelling of 22330311332013 in words is "twenty-two trillion, three hundred thirty billion, three hundred eleven million, three hundred thirty-two thousand, thirteen".

Divisors: 1 3 9 73 89 219 267 657 801 6497 11243 19491 33729 33967 58473 101187 101901 305703 820739 1000627 2462217 2479591 3001881 3023063 7386651 7438773 9005643 9069189 22316319 27207567 73045771 219137313 220683599 381890981 657411939 662050797 1145672943 1986152391 3437018829 27878041613 33988297309 83634124839 101964891927 250902374517 305894675781 2481145703557 7443437110671 22330311332013