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200120310 = 232513171043
BaseRepresentation
bin10111110110110…
…01011111110110
3111221120011110100
423323121133312
5402212322220
631505134530
74646665065
oct1373313766
9457504410
10200120310
11a2a65395
125702a446
13325c9cb0
141c8141dc
151287ed90
hexbed97f6

200120310 has 48 divisors (see below), whose sum is σ = 560340144. Its totient is φ = 49260096.

The previous prime is 200120279. The next prime is 200120317. The reversal of 200120310 is 13021002.

It is a happy number.

It is a super-3 number, since 3×2001203103 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 200120292 and 200120301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120317) 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, 84352 + ... + 86691.

It is an arithmetic number, because the mean of its divisors is an integer number (11673753).

Almost surely, 2200120310 is an apocalyptic number.

200120310 is an abundant number, since it is smaller than the sum of its proper divisors (360219834).

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

200120310 is a wasteful number, since it uses less digits than its factorization.

200120310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171069 (or 171066 counting only the distinct ones).

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

The square root of 200120310 is about 14146.3885850771. The cubic root of 200120310 is about 584.9207869953.

Adding to 200120310 its reverse (13021002), we get a palindrome (213141312).

The spelling of 200120310 in words is "two hundred million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 171043 342086 513129 855215 1026258 1539387 1710430 2223559 2565645 3078774 4447118 5131290 6670677 7696935 11117795 13341354 15393870 20012031 22235590 33353385 40024062 66706770 100060155 200120310