Search a number
-
+
22310431120332 = 22331712151650937
BaseRepresentation
bin1010001001010100011010…
…10100100101101111001100
32220222212010022020012102000
411010222031110211233030
510411013230331322312
6115241134235232300
74461606165352005
oct504521524455714
986885108205360
1022310431120332
117121889810223
122603ab22a8690
13c5ab31780654
14571b8b3581ac
1528a52b18eadc
hex144a8d525bcc

22310431120332 has 48 divisors (see below), whose sum is σ = 61244320727520. Its totient is φ = 6999350939136.

The previous prime is 22310431120267. The next prime is 22310431120333. The reversal of 22310431120332 is 23302113401322.

22310431120332 is a `hidden beast` number, since 2 + 2 + 3 + 10 + 4 + 311 + 2 + 0 + 332 = 666.

It is a super-3 number, since 3×223104311203323 (a number of 41 digits) contains 333 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 = 22310431120296 and 22310431120305.

It is not an unprimeable number, because it can be changed into a prime (22310431120333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6075823633 + ... + 6075827304.

It is an arithmetic number, because the mean of its divisors is an integer number (1275923348490).

Almost surely, 222310431120332 is an apocalyptic number.

It is an amenable number.

22310431120332 is an abundant number, since it is smaller than the sum of its proper divisors (38933889607188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22310431120332 is a wasteful number, since it uses less digits than its factorization.

22310431120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12151650967 (or 12151650959 counting only the distinct ones).

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

Adding to 22310431120332 its reverse (23302113401322), we get a palindrome (45612544521654).

The spelling of 22310431120332 in words is "twenty-two trillion, three hundred ten billion, four hundred thirty-one million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 12151650937 24303301874 36454952811 48606603748 72909905622 109364858433 145819811244 206578065929 218729716866 328094575299 413156131858 437459433732 619734197787 656189150598 826312263716 1239468395574 1312378301196 1859202593361 2478936791148 3718405186722 5577607780083 7436810373444 11155215560166 22310431120332