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1310132030310 = 2345531391811213
BaseRepresentation
bin10011000100001001111…
…101000100101101100110
311122020200100112220220000
4103010021331010231212
5132431122244432220
62441511044122130
7163440202341345
oct23041175045546
94566610486800
101310132030310
11465695415564
12191ab4696346
139671126154c
14475a7079b5c
152412d6b3390
hex13109f44b66

1310132030310 has 320 divisors, whose sum is σ = 3638059064640. Its totient is φ = 338151490560.

The previous prime is 1310132030303. The next prime is 1310132030399. The reversal of 1310132030310 is 130302310131.

It is a happy number.

1310132030310 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 320 + 30 + 310 = 666.

It is a super-2 number, since 2×13101320303102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1080075264 + ... + 1080076476.

It is an arithmetic number, because the mean of its divisors is an integer number (11368934577).

Almost surely, 21310132030310 is an apocalyptic number.

1310132030310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310132030310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819029532320).

1310132030310 is an abundant number, since it is smaller than the sum of its proper divisors (2327927034330).

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

1310132030310 is a wasteful number, since it uses less digits than its factorization.

1310132030310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1310132030310 its reverse (130302310131), we get a palindrome (1440434340441).

The spelling of 1310132030310 in words is "one trillion, three hundred ten billion, one hundred thirty-two million, thirty thousand, three hundred ten".