Search a number
-
+
1310130200322 = 232157463598797
BaseRepresentation
bin10011000100001001110…
…110000101111100000010
311122020200020002221121200
4103010021312011330002
5132431121312402242
62441510541002030
7163440150650166
oct23041166057402
94566606087550
101310130200322
11465694385679
12191ab3b53316
1396710a70608
14475a6b20ca6
152412d45104c
hex13109d85f02

1310130200322 has 24 divisors (see below), whose sum is σ = 2856695793276. Its totient is φ = 433928473056.

The previous prime is 1310130200317. The next prime is 1310130200339. The reversal of 1310130200322 is 2230020310131.

1310130200322 is a `hidden beast` number, since 1 + 3 + 10 + 130 + 200 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1297049932161 + 13080268161 = 1138881^2 + 114369^2 .

It is a super-2 number, since 2×13101302003222 (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 junction number, because it is equal to n+sod(n) for n = 1310130200295 and 1310130200304.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 231796573 + ... + 231802224.

Almost surely, 21310130200322 is an apocalyptic number.

1310130200322 is an abundant number, since it is smaller than the sum of its proper divisors (1546565592954).

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

1310130200322 is a wasteful number, since it uses less digits than its factorization.

1310130200322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463598962 (or 463598959 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310130200322 its reverse (2230020310131), we get a palindrome (3540150510453).

The spelling of 1310130200322 in words is "one trillion, three hundred ten billion, one hundred thirty million, two hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 463598797 927197594 1390796391 2781592782 4172389173 8344778346 72785011129 145570022258 218355033387 436710066774 655065100161 1310130200322