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130521232002 = 237232937312491
BaseRepresentation
bin111100110001110101…
…0111111001010000010
3110110220020201120111210
41321203222333022002
54114301413411002
6135543254550550
712300303111120
oct1714352771202
9413806646453
10130521232002
1150398918487
1221367368456
13c400b81a35
1464627ca910
1535dd9c296c
hex1e63abf282

130521232002 has 128 divisors (see below), whose sum is σ = 322929192960. Its totient is φ = 34345301760.

The previous prime is 130521231961. The next prime is 130521232007. The reversal of 130521232002 is 200232125031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 130521232002.

It is not an unprimeable number, because it can be changed into a prime (130521232007) 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, 10442977 + ... + 10455467.

It is an arithmetic number, because the mean of its divisors is an integer number (2522884320).

Almost surely, 2130521232002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130521232002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161464596480).

130521232002 is an abundant number, since it is smaller than the sum of its proper divisors (192407960958).

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

130521232002 is a wasteful number, since it uses less digits than its factorization.

130521232002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12928.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 130521232002 its reverse (200232125031), we get a palindrome (330753357033).

The spelling of 130521232002 in words is "one hundred thirty billion, five hundred twenty-one million, two hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 174 203 322 373 406 483 609 667 746 966 1119 1218 1334 2001 2238 2611 4002 4669 5222 7833 8579 9338 10817 12491 14007 15666 17158 21634 24982 25737 28014 32451 37473 51474 60053 64902 74946 75719 87437 120106 151438 174874 180159 227157 248791 262311 287293 360318 362239 454314 497582 524622 574586 724478 746373 861879 1086717 1492746 1723758 1741537 2011051 2173434 2535673 3483074 4022102 4659143 5071346 5224611 6033153 7607019 8331497 9318286 10449222 12066306 13977429 15214038 16662994 24994491 27954858 32614001 49988982 58320479 65228002 97842003 107160289 116640958 135115147 174961437 195684006 214320578 270230294 321480867 349922874 405345441 642961734 750122023 810690882 945806029 1500244046 1891612058 2250366069 2837418087 3107648381 4500732138 5674836174 6215296762 9322945143 18645890286 21753538667 43507077334 65260616001 130521232002