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130012100101 = 1340124939977
BaseRepresentation
bin111100100010101010…
…0110011011000000101
3110102120202200222211201
41321011110303120011
54112231044200401
6135420550302501
712251551421422
oct1710524633005
9412522628751
10130012100101
1150157494114
1221244957a31
13c34c550260
146414d38d49
1535ade53b01
hex1e45533605

130012100101 has 8 divisors (see below), whose sum is σ = 140362196184. Its totient is φ = 119711884800.

The previous prime is 130012100089. The next prime is 130012100117. The reversal of 130012100101 is 101001210031.

It can be written as a sum of positive squares in 4 ways, for example, as 4819969476 + 125192130625 = 69426^2 + 353825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130012100101 - 29 = 130012099589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012100171) 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 7 ways as a sum of consecutive naturals, for example, 12464776 + ... + 12475201.

It is an arithmetic number, because the mean of its divisors is an integer number (17545274523).

Almost surely, 2130012100101 is an apocalyptic number.

It is an amenable number.

130012100101 is a deficient number, since it is larger than the sum of its proper divisors (10350096083).

130012100101 is a wasteful number, since it uses less digits than its factorization.

130012100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24940391.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 130012100101 its reverse (101001210031), we get a palindrome (231013310132).

The spelling of 130012100101 in words is "one hundred thirty billion, twelve million, one hundred thousand, one hundred one".

Divisors: 1 13 401 5213 24939977 324219701 10000930777 130012100101