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13130101410 = 235437670047
BaseRepresentation
bin11000011101001110…
…10111001010100010
31020220001121021001020
430032213113022202
5203342301221120
610010515350310
7643243010016
oct141647271242
936801537036
1013130101410
115628666588
1226652b2396
13131332469a
148c7b54546
1551caa0640
hex30e9d72a2

13130101410 has 16 divisors (see below), whose sum is σ = 31512243456. Its totient is φ = 3501360368.

The previous prime is 13130101399. The next prime is 13130101427. The reversal of 13130101410 is 1410103131.

13130101410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13130101410.

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 7 ways as a sum of consecutive naturals, for example, 218834994 + ... + 218835053.

It is an arithmetic number, because the mean of its divisors is an integer number (1969515216).

Almost surely, 213130101410 is an apocalyptic number.

13130101410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130101410 is an abundant number, since it is smaller than the sum of its proper divisors (18382142046).

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

13130101410 is a wasteful number, since it uses less digits than its factorization.

13130101410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437670057.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13130101410 its reverse (1410103131), we get a palindrome (14540204541).

The spelling of 13130101410 in words is "thirteen billion, one hundred thirty million, one hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 437670047 875340094 1313010141 2188350235 2626020282 4376700470 6565050705 13130101410