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10031112300300 = 223527133071196873
BaseRepresentation
bin1001000111111000110011…
…1000101010011100001100
31022111222001110111212100220
42101332030320222130030
52303322204222102200
633200121313351340
72053503212466210
oct221761470523414
938458043455326
1010031112300300
1132181974237a3
12116011b268550
13579c11ab9b80
14269719198940
15125deb5324a0
hex91f8ce2a70c

10031112300300 has 288 divisors, whose sum is σ = 35837433257472. Its totient is φ = 2109558712320.

The previous prime is 10031112300277. The next prime is 10031112300317. The reversal of 10031112300300 is 300321113001.

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 10031112300300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7782664 + ... + 8979536.

It is an arithmetic number, because the mean of its divisors is an integer number (124435532144).

Almost surely, 210031112300300 is an apocalyptic number.

10031112300300 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 10031112300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918716628736).

10031112300300 is an abundant number, since it is smaller than the sum of its proper divisors (25806320957172).

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

10031112300300 is a wasteful number, since it uses less digits than its factorization.

10031112300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197217 (or 1197210 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10031112300300 its reverse (300321113001), we get a palindrome (10331433413301).

The spelling of 10031112300300 in words is "ten trillion, thirty-one billion, one hundred twelve million, three hundred thousand, three hundred".