Search a number
-
+
13120102310 = 257226775719
BaseRepresentation
bin11000011100000010…
…01101111110100110
31020212100210020212012
430032001031332212
5203332221233220
610005521154222
7643062013100
oct141601157646
936770706765
1013120102310
115622a57067
122661a8b972
131311233363
148c66b0570
1551bc77ac5
hex30e04dfa6

13120102310 has 24 divisors (see below), whose sum is σ = 27471888720. Its totient is φ = 4498320624.

The previous prime is 13120102297. The next prime is 13120102327. The reversal of 13120102310 is 1320102131.

13120102310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131201023102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

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, 13387370 + ... + 13388349.

It is an arithmetic number, because the mean of its divisors is an integer number (1144662030).

Almost surely, 213120102310 is an apocalyptic number.

13120102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13120102310 is an abundant number, since it is smaller than the sum of its proper divisors (14351786410).

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

13120102310 is a wasteful number, since it uses less digits than its factorization.

13120102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26775740 (or 26775733 counting only the distinct ones).

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

Adding to 13120102310 its reverse (1320102131), we get a palindrome (14440204441).

The spelling of 13120102310 in words is "thirteen billion, one hundred twenty million, one hundred two thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 26775719 53551438 133878595 187430033 267757190 374860066 937150165 1312010231 1874300330 2624020462 6560051155 13120102310