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130003313100 = 22352538176309
BaseRepresentation
bin111100100010011001…
…1010010000111001100
3110102120011011120100020
41321010303102013030
54112221322004400
6135420034102140
712251413633353
oct1710463220714
9412504146306
10130003313100
1150152532331
1221241a1a950
13c34a79484b
146413acc99a
1535ad2ba2a0
hex1e44cd21cc

130003313100 has 72 divisors (see below), whose sum is σ = 383240002320. Its totient is φ = 34013441280.

The previous prime is 130003313051. The next prime is 130003313101. The reversal of 130003313100 is 1313300031.

It is a super-2 number, since 2×1300033131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130003313100.

It is not an unprimeable number, because it can be changed into a prime (130003313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4072255 + ... + 4104054.

It is an arithmetic number, because the mean of its divisors is an integer number (5322777810).

Almost surely, 2130003313100 is an apocalyptic number.

130003313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130003313100 is an abundant number, since it is smaller than the sum of its proper divisors (253236689220).

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

130003313100 is a wasteful number, since it uses less digits than its factorization.

130003313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176379 (or 8176372 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 130003313100 its reverse (1313300031), we get a palindrome (131316613131).

The spelling of 130003313100 in words is "one hundred thirty billion, three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 8176309 16352618 24528927 32705236 40881545 49057854 81763090 98115708 122644635 163526180 204407725 245289270 408815450 433344377 490578540 613223175 817630900 866688754 1226446350 1300033131 1733377508 2166721885 2452892700 2600066262 4333443770 5200132524 6500165655 8666887540 10833609425 13000331310 21667218850 26000662620 32500828275 43334437700 65001656550 130003313100