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130313451132 = 22331871644899
BaseRepresentation
bin111100101011101001…
…0010111011001111100
3110110100202202012202000
41321113102113121330
54113340220414012
6135510513302300
712262201026024
oct1712722273174
9413322665660
10130313451132
11502a1600657
1221309864990
13c399b01c87
146442d80a84
1535ca62cddc
hex1e5749767c

130313451132 has 48 divisors (see below), whose sum is σ = 338030784000. Its totient is φ = 43414533360.

The previous prime is 130313451131. The next prime is 130313451143. The reversal of 130313451132 is 231154313031.

130313451132 is a `hidden beast` number, since 1 + 303 + 1 + 345 + 1 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130313451096 and 130313451105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130313451131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120382 + ... + 524517.

It is an arithmetic number, because the mean of its divisors is an integer number (7042308000).

Almost surely, 2130313451132 is an apocalyptic number.

130313451132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130313451132 is an abundant number, since it is smaller than the sum of its proper divisors (207717332868).

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

130313451132 is a wasteful number, since it uses less digits than its factorization.

130313451132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646783 (or 646775 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 130313451132 its reverse (231154313031), we get a palindrome (361467764163).

The spelling of 130313451132 in words is "one hundred thirty billion, three hundred thirteen million, four hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1871 3742 5613 7484 11226 16839 22452 33678 50517 67356 101034 202068 644899 1289798 1934697 2579596 3869394 5804091 7738788 11608182 17412273 23216364 34824546 69649092 1206606029 2413212058 3619818087 4826424116 7239636174 10859454261 14479272348 21718908522 32578362783 43437817044 65156725566 130313451132