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10012230200 = 2352745715649
BaseRepresentation
bin10010101001100011…
…01000001000111000
3221211202202222210202
421110301220020320
5131001112331300
64333300501332
7503053360340
oct112461501070
927752688722
1010012230200
114278708815
121b350aa848
13c373b018b
146ada27d20
153d8ec6ad5
hex254c68238

10012230200 has 96 divisors (see below), whose sum is σ = 26663844000. Its totient is φ = 3425034240.

The previous prime is 10012230197. The next prime is 10012230233. The reversal of 10012230200 is 203221001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631976 + ... + 647624.

It is an arithmetic number, because the mean of its divisors is an integer number (277748375).

Almost surely, 210012230200 is an apocalyptic number.

10012230200 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 10012230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331922000).

10012230200 is an abundant number, since it is smaller than the sum of its proper divisors (16651613800).

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

10012230200 is a wasteful number, since it uses less digits than its factorization.

10012230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16129 (or 16120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10012230200 its reverse (203221001), we get a palindrome (10215451201).

The spelling of 10012230200 in words is "ten billion, twelve million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 457 700 914 1400 1828 2285 3199 3656 4570 6398 9140 11425 12796 15649 15995 18280 22850 25592 31298 31990 45700 62596 63980 78245 79975 91400 109543 125192 127960 156490 159950 219086 312980 319900 391225 438172 547715 625960 639800 782450 876344 1095430 1564900 2190860 2738575 3129800 4381720 5477150 7151593 10954300 14303186 21908600 28606372 35757965 50061151 57212744 71515930 100122302 143031860 178789825 200244604 250305755 286063720 357579650 400489208 500611510 715159300 1001223020 1251528775 1430318600 2002446040 2503057550 5006115100 10012230200