Search a number
-
+
130012122100 = 22527379490057
BaseRepresentation
bin111100100010101010…
…0111000101111110100
3110102120202202010000111
41321011110320233310
54112231100401400
6135420550552404
712251551542520
oct1710524705764
9412522663014
10130012122100
11501574a96a3
1221244968704
13c34c55a283
146414d42d80
1535ade5a3ba
hex1e45538bf4

130012122100 has 72 divisors (see below), whose sum is σ = 323281461440. Its totient is φ = 44457880320.

The previous prime is 130012122083. The next prime is 130012122109. The reversal of 130012122100 is 1221210031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012122109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20272 + ... + 510328.

Almost surely, 2130012122100 is an apocalyptic number.

130012122100 is a gapful number since it is divisible by the number (10) 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 130012122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161640730720).

130012122100 is an abundant number, since it is smaller than the sum of its proper divisors (193269339340).

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

130012122100 is a wasteful number, since it uses less digits than its factorization.

130012122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490457 (or 490450 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 130012122100 its reverse (1221210031), we get a palindrome (131233332131).

The spelling of 130012122100 in words is "one hundred thirty billion, twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 379 700 758 1516 1895 2653 3790 5306 7580 9475 10612 13265 18950 26530 37900 53060 66325 132650 265300 490057 980114 1960228 2450285 3430399 4900570 6860798 9801140 12251425 13721596 17151995 24502850 34303990 49005700 68607980 85759975 171519950 185731603 343039900 371463206 742926412 928658015 1300121221 1857316030 2600242442 3714632060 4643290075 5200484884 6500606105 9286580150 13001212210 18573160300 26002424420 32503030525 65006061050 130012122100