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201010680 = 2333513103139
BaseRepresentation
bin10111111101100…
…10110111111000
3112000020101211000
423332302313320
5402424320210
631540205000
74660363653
oct1376626770
9460211730
10201010680
11a3513332
1257399760
133284c340
141c9a689a
15129a8ac0
hexbfb2df8

201010680 has 256 divisors, whose sum is σ = 733824000. Its totient is φ = 48646656.

The previous prime is 201010661. The next prime is 201010697. The reversal of 201010680 is 86010102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446051 + ... + 1446189.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2201010680 is an apocalyptic number.

201010680 is a gapful number since it is divisible by the number (20) 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 201010680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912000).

201010680 is an abundant number, since it is smaller than the sum of its proper divisors (532813320).

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

201010680 is a wasteful number, since it uses less digits than its factorization.

201010680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 201010680 is about 14177.8235283135. The cubic root of 201010680 is about 585.7869750301.

Adding to 201010680 its reverse (86010102), we get a palindrome (287020782).

The spelling of 201010680 in words is "two hundred one million, ten thousand, six hundred eighty".