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1322131043214 = 232142958678761
BaseRepresentation
bin10011001111010101001…
…001101011001110001110
311200101122120210221012100
4103033111021223032032
5133130211021340324
62451213440415530
7164343432304302
oct23172511531616
94611576727170
101322131043214
1146a792562553
121942a30175a6
13978a413b997
1447dc48bbd02
15245d1cdb4c9
hex133d526b38e

1322131043214 has 48 divisors (see below), whose sum is σ = 2867437750320. Its totient is φ = 440276618880.

The previous prime is 1322131043213. The next prime is 1322131043231. The reversal of 1322131043214 is 4123401312231.

1322131043214 is a `hidden beast` number, since 1 + 3 + 2 + 21 + 310 + 4 + 321 + 4 = 666.

It is a super-3 number, since 3×13221310432143 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322131043213) 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, 150906594 + ... + 150915354.

It is an arithmetic number, because the mean of its divisors is an integer number (59738286465).

Almost surely, 21322131043214 is an apocalyptic number.

1322131043214 is an abundant number, since it is smaller than the sum of its proper divisors (1545306707106).

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

1322131043214 is a wasteful number, since it uses less digits than its factorization.

1322131043214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16065 (or 16062 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1322131043214 its reverse (4123401312231), we get a palindrome (5445532355445).

The spelling of 1322131043214 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, forty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 1429 2858 4287 5867 8574 8761 11734 12861 17522 17601 25722 26283 35202 52566 52803 78849 105606 157698 8383943 12519469 16767886 25038938 25151829 37558407 50303658 51400787 75116814 75455487 102801574 112675221 150910974 154202361 225350442 308404722 462607083 925214166 73451724623 146903449246 220355173869 440710347738 661065521607 1322131043214