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1030607060300 = 2252101900711329
BaseRepresentation
bin11101111111101001111…
…01111011110101001100
310122112011210000012000222
432333310331323311030
5113341140401412200
62105242050010512
7134313255320666
oct16776475736514
93575153005028
101030607060300
113680948aa354
121478a4276a38
137625535bccc
1437c4b355536
151bc1d804d85
hexeff4f7bd4c

1030607060300 has 72 divisors (see below), whose sum is σ = 2259010205760. Its totient is φ = 408079872000.

The previous prime is 1030607060251. The next prime is 1030607060303. The reversal of 1030607060300 is 30607060301.

It is a Cunningham number, because it is equal to 101013-1.

It is a self number, because there is not a number n which added to its sum of digits gives 1030607060300.

It is not an unprimeable number, because it can be changed into a prime (1030607060303) 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, 90965036 + ... + 90976364.

Almost surely, 21030607060300 is an apocalyptic number.

1030607060300 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 1030607060300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129505102880).

1030607060300 is an abundant number, since it is smaller than the sum of its proper divisors (1228403145460).

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

1030607060300 is a wasteful number, since it uses less digits than its factorization.

1030607060300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20451 (or 20444 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

Subtracting from 1030607060300 its reverse (30607060301), we obtain a palindrome (999999999999).

The spelling of 1030607060300 in words is "one trillion, thirty billion, six hundred seven million, sixty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 9007 10100 11329 18014 22658 36028 45035 45316 56645 90070 113290 180140 225175 226580 283225 450350 566450 900700 909707 1132900 1144229 1819414 2288458 3638828 4548535 4576916 5721145 9097070 11442290 18194140 22742675 22884580 28605725 45485350 57211450 90970700 102040303 114422900 204080606 408161212 510201515 1020403030 2040806060 2551007575 5102015150 10204030300 10306070603 20612141206 41224282412 51530353015 103060706030 206121412060 257651765075 515303530150 1030607060300