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201012660 = 223257511487
BaseRepresentation
bin10111111101100…
…11010110110100
3112000020111112100
423332303112310
5402424401120
631540222100
74660402512
oct1376632664
9460214470
10201012660
11a3514872
125739a930
1332850204
141c9a74b2
15129a9490
hexbfb35b4

201012660 has 72 divisors (see below), whose sum is σ = 610960896. Its totient is φ = 53496000.

The previous prime is 201012653. The next prime is 201012667. The reversal of 201012660 is 66210102.

It is a happy number.

201012660 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 2 + 660 = 666.

It is an interprime number because it is at equal distance from previous prime (201012653) and next prime (201012667).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012667) 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, 134437 + ... + 135923.

It is an arithmetic number, because the mean of its divisors is an integer number (8485568).

Almost surely, 2201012660 is an apocalyptic number.

201012660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012660 is an abundant number, since it is smaller than the sum of its proper divisors (409948236).

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

201012660 is a wasteful number, since it uses less digits than its factorization.

201012660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 201012660 is about 14177.8933555024. The cubic root of 201012660 is about 585.7888984012.

Adding to 201012660 its reverse (66210102), we get a palindrome (267222762).

The spelling of 201012660 in words is "two hundred one million, twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 751 1487 1502 2253 2974 3004 3755 4461 4506 5948 6759 7435 7510 8922 9012 11265 13383 13518 14870 15020 17844 22305 22530 26766 27036 29740 33795 44610 45060 53532 66915 67590 89220 133830 135180 267660 1116737 2233474 3350211 4466948 5583685 6700422 10050633 11167370 13400844 16751055 20101266 22334740 33502110 40202532 50253165 67004220 100506330 201012660