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130011200100 = 223252144456889
BaseRepresentation
bin111100100010101000…
…1010111101001100100
3110102120201000021021100
41321011101113221210
54112230331400400
6135420515120100
712251540652465
oct1710521275144
9412521007240
10130011200100
1150156a29a11
12212445a3030
13c34c2c6702
146414b82d6c
1535add27100
hex1e45457a64

130011200100 has 54 divisors (see below), whose sum is σ = 407512886690. Its totient is φ = 34669653120.

The previous prime is 130011200087. The next prime is 130011200107. The reversal of 130011200100 is 1002110031.

It can be written as a sum of positive squares in 3 ways, for example, as 24478479936 + 105532720164 = 156456^2 + 324858^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (130011200107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72227545 + ... + 72229344.

Almost surely, 2130011200100 is an apocalyptic number.

130011200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130011200100 is an abundant number, since it is smaller than the sum of its proper divisors (277501686590).

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

130011200100 is a wasteful number, since it uses less digits than its factorization.

130011200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144456909 (or 144456899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 130011200100 its reverse (1002110031), we get a palindrome (131013310131).

The spelling of 130011200100 in words is "one hundred thirty billion, eleven million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 144456889 288913778 433370667 577827556 722284445 866741334 1300112001 1444568890 1733482668 2166853335 2600224002 2889137780 3611422225 4333706670 5200448004 6500560005 7222844450 8667413340 10834266675 13001120010 14445688900 21668533350 26002240020 32502800025 43337066700 65005600050 130011200100