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1323111012372 = 2232295323912221
BaseRepresentation
bin10011010000001111100…
…011111101100000010100
311200111011212210112011100
4103100033203331200110
5133134212404343442
62451455004510100
7164406632020242
oct23201743754024
94614155715140
101323111012372
11470145744916
1219451724b330
13979cc1846a6
1448078ad3792
152463cd6284c
hex1340f8fd814

1323111012372 has 72 divisors (see below), whose sum is σ = 3525139767240. Its totient is φ = 417794307840.

The previous prime is 1323111012331. The next prime is 1323111012373. The reversal of 1323111012372 is 2732101113231.

1323111012372 is a `hidden beast` number, since 1 + 323 + 1 + 1 + 101 + 237 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 824384097936 + 498726914436 = 907956^2 + 706206^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323111012373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11900779 + ... + 12011442.

It is an arithmetic number, because the mean of its divisors is an integer number (48960274545).

Almost surely, 21323111012372 is an apocalyptic number.

1323111012372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1323111012372 is an abundant number, since it is smaller than the sum of its proper divisors (2202028754868).

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

1323111012372 is a wasteful number, since it uses less digits than its factorization.

1323111012372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23912313 (or 23912308 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 1323111012372 in words is "one trillion, three hundred twenty-three billion, one hundred eleven million, twelve thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 87 106 116 159 174 212 261 318 348 477 522 636 954 1044 1537 1908 3074 4611 6148 9222 13833 18444 27666 55332 23912221 47824442 71736663 95648884 143473326 215209989 286946652 430419978 693454409 860839956 1267347713 1386908818 2080363227 2534695426 2773817636 3802043139 4160726454 5069390852 6241089681 7604086278 8321452908 11406129417 12482179362 15208172556 22812258834 24964358724 36753083677 45624517668 73506167354 110259251031 147012334708 220518502062 330777753093 441037004124 661555506186 1323111012372