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130948364001 = 37133712963901
BaseRepresentation
bin111100111110100100…
…0010111011011100001
3110112000000110010110110
41321331020113123201
54121140240122001
6140053513521533
712314010504660
oct1717510273341
9415000403413
10130948364001
1150597a35034
12214664132a9
13c46b502a70
1464a3414dd7
1536162453d6
hex1e7d2176e1

130948364001 has 32 divisors (see below), whose sum is σ = 220697467648. Its totient is φ = 67204857600.

The previous prime is 130948363991. The next prime is 130948364003. The reversal of 130948364001 is 100463849031.

It is not a de Polignac number, because 130948364001 - 26 = 130948363937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (130948364003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6471850 + ... + 6492051.

It is an arithmetic number, because the mean of its divisors is an integer number (6896795864).

Almost surely, 2130948364001 is an apocalyptic number.

It is an amenable number.

130948364001 is a deficient number, since it is larger than the sum of its proper divisors (89749103647).

130948364001 is a wasteful number, since it uses less digits than its factorization.

130948364001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963961.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 130948364001 in words is "one hundred thirty billion, nine hundred forty-eight million, three hundred sixty-four thousand, one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 12963901 38891703 90747307 168530713 272241921 479664337 505592139 1179714991 1438993011 3357650359 3539144973 6235636381 10072951077 18706909143 43649454667 130948364001