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1310213130111 = 323122116911039
BaseRepresentation
bin10011000100001110110…
…010011100011101111111
311122020220000011012220100
4103010032302130131333
5132431304030130421
62441523102252143
7163442205565044
oct23041662343577
94566800135810
101310213130111
11465727177a96
12191b17887053
1396724cb83b2
14475b3b4b1cb
1524135882c26
hex1310ec9c77f

1310213130111 has 72 divisors (see below), whose sum is σ = 1969554013440. Its totient is φ = 839266596000.

The previous prime is 1310213129969. The next prime is 1310213130113. The reversal of 1310213130111 is 1110313120131.

1310213130111 is a `hidden beast` number, since 1 + 310 + 21 + 31 + 301 + 1 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1310213130111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310213130113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1261032330 + ... + 1261033368.

Almost surely, 21310213130111 is an apocalyptic number.

1310213130111 is a deficient number, since it is larger than the sum of its proper divisors (659340883329).

1310213130111 is a wasteful number, since it uses less digits than its factorization.

1310213130111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1310213130111 its reverse (1110313120131), we get a palindrome (2420526250242).

The spelling of 1310213130111 in words is "one trillion, three hundred ten billion, two hundred thirteen million, one hundred thirty thousand, one hundred eleven".

Divisors: 1 3 9 31 93 211 279 633 691 961 1039 1899 2073 2883 3117 6219 6541 8649 9351 19623 21421 32209 58869 64263 96627 145801 192789 202771 219229 289881 437403 608313 657687 664051 717949 998479 1312209 1824939 1973061 1992153 2153847 2995437 4519831 5976459 6461541 6796099 8986311 13559493 20388297 22256419 40678479 61164891 66769257 140114761 151487239 200307771 210679069 420344283 454461717 632037207 689948989 1261032849 1363385151 1896111621 2069846967 4696104409 6209540901 14088313227 42264939681 145579236679 436737710037 1310213130111