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103013022300 = 223521572187113
BaseRepresentation
bin101111111110000001…
…1011111101001011100
3100211220011011201211020
41133330003133221130
53141432313203200
6115153514324140
710304521146036
oct1377403375134
9324804151736
10103013022300
113a762190381
1217b6aa29650
139938b03386
144db3296c56
152a2da01ea0
hex17fc0dfa5c

103013022300 has 72 divisors (see below), whose sum is σ = 299949562416. Its totient is φ = 27295157760.

The previous prime is 103013022241. The next prime is 103013022317. The reversal of 103013022300 is 3220310301.

It is a super-2 number, since 2×1030130223002 (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 103013022300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046457 + ... + 1140656.

Almost surely, 2103013022300 is an apocalyptic number.

103013022300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013022300 is an abundant number, since it is smaller than the sum of its proper divisors (196936540116).

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

103013022300 is a wasteful number, since it uses less digits than its factorization.

103013022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187287 (or 2187280 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103013022300 its reverse (3220310301), we get a palindrome (106233332601).

The spelling of 103013022300 in words is "one hundred three billion, thirteen million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 7850 9420 11775 15700 23550 47100 2187113 4374226 6561339 8748452 10935565 13122678 21871130 26245356 32806695 43742260 54677825 65613390 109355650 131226780 164033475 218711300 328066950 343376741 656133900 686753482 1030130223 1373506964 1716883705 2060260446 3433767410 4120520892 5150651115 6867534820 8584418525 10301302230 17168837050 20602604460 25753255575 34337674100 51506511150 103013022300