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1310323101021 = 33115974777327
BaseRepresentation
bin10011000100010101010…
…101111100110101011101
311122021011200002022122000
4103010111111330311131
5132432020203213041
62441542031312513
7163445012405664
oct23042525746535
94567150068560
101310323101021
11465783259840
12191b4867b739
1396741a1043c
14475c45b5ddb
1524140356bb6
hex1311557cd5d

1310323101021 has 32 divisors (see below), whose sum is σ = 2153587046400. Its totient is φ = 780675283440.

The previous prime is 1310323101013. The next prime is 1310323101023. The reversal of 1310323101021 is 1201013230131.

1310323101021 is a `hidden beast` number, since 1 + 310 + 32 + 310 + 10 + 2 + 1 = 666.

It is not a de Polignac number, because 1310323101021 - 23 = 1310323101013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1310323100985 and 1310323101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310323101023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37371141 + ... + 37406186.

It is an arithmetic number, because the mean of its divisors is an integer number (67299595200).

Almost surely, 21310323101021 is an apocalyptic number.

1310323101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310323101021 is a deficient number, since it is larger than the sum of its proper divisors (843263945379).

1310323101021 is a wasteful number, since it uses less digits than its factorization.

1310323101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74777406 (or 74777400 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1310323101021 its reverse (1201013230131), we get a palindrome (2511336331152).

It can be divided in two parts, 1310323 and 101021, that added together give a square (1411344 = 11882).

The spelling of 1310323101021 in words is "one trillion, three hundred ten billion, three hundred twenty-three million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 11 27 33 59 99 177 297 531 649 1593 1947 5841 17523 74777327 224331981 672995943 822550597 2018987829 2467651791 4411862293 7402955373 13235586879 22208866119 39706760637 48530485223 119120281911 145591455669 436774367007 1310323101021