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130301001012 = 2237133723313841
BaseRepresentation
bin111100101011010001…
…0110111110100110100
3110110022220022200101110
41321112202313310310
54113324024013022
6135505350355020
712261660143220
oct1712642676464
9413286280343
10130301001012
11502955776a6
122130565ba70
13c397363140
14644145d780
1535c94be00c
hex1e568b7d34

130301001012 has 192 divisors, whose sum is σ = 385988488704. Its totient is φ = 33290403840.

The previous prime is 130301001011. The next prime is 130301001023. The reversal of 130301001012 is 210100103031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130301001011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9407212 + ... + 9421052.

It is an arithmetic number, because the mean of its divisors is an integer number (2010356712).

Almost surely, 2130301001012 is an apocalyptic number.

130301001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130301001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192994244352).

130301001012 is an abundant number, since it is smaller than the sum of its proper divisors (255687487692).

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

130301001012 is a wasteful number, since it uses less digits than its factorization.

130301001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138 (or 14136 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 130301001012 its reverse (210100103031), we get a palindrome (340401104043).

The spelling of 130301001012 in words is "one hundred thirty billion, three hundred one million, one thousand, twelve".