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100301311300 = 22521003013113
BaseRepresentation
bin101110101101001101…
…1001000110101000100
3100120220011121112122111
41131122123020311010
53120404113430200
6114024445110404
710150363036051
oct1353233106504
9316804545574
10100301311300
11395a0525803
1217532858404
1395c6079358
144bd7096028
1529209070ba
hex175a6c8d44

100301311300 has 18 divisors (see below), whose sum is σ = 217653845738. Its totient is φ = 40120524480.

The previous prime is 100301311223. The next prime is 100301311307. The reversal of 100301311300 is 3113103001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 995654916 + 99305656384 = 31554^2 + 315128^2 .

It is not an unprimeable number, because it can be changed into a prime (100301311307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501506457 + ... + 501506656.

Almost surely, 2100301311300 is an apocalyptic number.

100301311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100301311300 is an abundant number, since it is smaller than the sum of its proper divisors (117352534438).

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

100301311300 is a wasteful number, since it uses less digits than its factorization.

100301311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003013127 (or 1003013120 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100301311300 its reverse (3113103001), we get a palindrome (103414414301).

The spelling of 100301311300 in words is "one hundred billion, three hundred one million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1003013113 2006026226 4012052452 5015065565 10030131130 20060262260 25075327825 50150655650 100301311300