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200031012 = 223319432267
BaseRepresentation
bin10111110110000…
…11101100100100
3111221101121222000
423323003230210
5402201443022
631503205300
74646143536
oct1373035444
9457347860
10200031012
11a2a04295
1256ba6830
133259845c
141c7cd856
15128636ac
hexbec3b24

200031012 has 96 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 61671456.

The previous prime is 200031011. The next prime is 200031071. The reversal of 200031012 is 210130002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200030985 and 200031003.

It is not an unprimeable number, because it can be changed into a prime (200031011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87103 + ... + 89369.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2200031012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

200031012 is an abundant number, since it is smaller than the sum of its proper divisors (358804188).

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

200031012 is a wasteful number, since it uses less digits than its factorization.

200031012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 200031012 is about 14143.2320210057. The cubic root of 200031012 is about 584.8337726264.

Adding to 200031012 its reverse (210130002), we get a palindrome (410161014).

The spelling of 200031012 in words is "two hundred million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 43 54 57 76 86 108 114 129 171 172 228 258 342 387 513 516 684 774 817 1026 1161 1548 1634 2052 2267 2322 2451 3268 4534 4644 4902 6801 7353 9068 9804 13602 14706 20403 22059 27204 29412 40806 43073 44118 61209 81612 86146 88236 97481 122418 129219 172292 194962 244836 258438 292443 387657 389924 516876 584886 775314 877329 1162971 1169772 1550628 1754658 1852139 2325942 2631987 3509316 3704278 4651884 5263974 5556417 7408556 10527948 11112834 16669251 22225668 33338502 50007753 66677004 100015506 200031012