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1310002310021 = 172925710339321
BaseRepresentation
bin10011000100000010001…
…110001110101110000101
311122020100022110110002212
4103010002032032232011
5132430341042410041
62441450131513205
7163434035624156
oct23040216165605
94566308413085
101310002310021
11465629174809
12191a79158805
13966c0413192
1447593b4d92d
15241220dc8eb
hex1310238eb85

1310002310021 has 16 divisors (see below), whose sum is σ = 1440474341040. Its totient is φ = 1185795932160.

The previous prime is 1310002310017. The next prime is 1310002310027. The reversal of 1310002310021 is 1200132000131.

It can be written as a sum of positive squares in 8 ways, for example, as 233855419396 + 1076146890625 = 483586^2 + 1037375^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310002310021 - 22 = 1310002310017 is a prime.

It is a super-2 number, since 2×13100023100212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1310002309978 and 1310002310005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310002310027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5042960 + ... + 5296361.

It is an arithmetic number, because the mean of its divisors is an integer number (90029646315).

Almost surely, 21310002310021 is an apocalyptic number.

It is an amenable number.

1310002310021 is a deficient number, since it is larger than the sum of its proper divisors (130472031019).

1310002310021 is a wasteful number, since it uses less digits than its factorization.

1310002310021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339624.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1310002310021 its reverse (1200132000131), we get a palindrome (2510134310152).

The spelling of 1310002310021 in words is "one trillion, three hundred ten billion, two million, three hundred ten thousand, twenty-one".

Divisors: 1 17 29 257 493 4369 7453 126701 10339321 175768457 299840309 2657205497 5097285253 45172493449 77058959413 1310002310021