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201101022 = 23329281457
BaseRepresentation
bin10111111110010…
…00111011011110
3112000101222202000
423333020323132
5402440213042
631542143130
74661221233
oct1377107336
9460358660
10201101022
11a35751a1
1257421aa6
13328814b5
141c9cb78a
15129c574c
hexbfc8ede

201101022 has 64 divisors (see below), whose sum is σ = 464961600. Its totient is φ = 64350720.

The previous prime is 201101009. The next prime is 201101059. The reversal of 201101022 is 220101102.

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 = 201100995 and 201101013.

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 31 ways as a sum of consecutive naturals, for example, 439818 + ... + 440274.

It is an arithmetic number, because the mean of its divisors is an integer number (7265025).

Almost surely, 2201101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232480800).

201101022 is an abundant number, since it is smaller than the sum of its proper divisors (263860578).

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

201101022 is a wasteful number, since it uses less digits than its factorization.

201101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201101022 is about 14181.0092024510. The cubic root of 201101022 is about 585.8747203522.

Adding to 201101022 its reverse (220101102), we get a palindrome (421202124).

The spelling of 201101022 in words is "two hundred one million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 281 457 522 562 783 843 914 1371 1566 1686 2529 2742 4113 5058 7587 8149 8226 12339 13253 15174 16298 24447 24678 26506 39759 48894 73341 79518 119277 128417 146682 220023 238554 256834 357831 385251 440046 715662 770502 1155753 2311506 3467259 3724093 6934518 7448186 11172279 22344558 33516837 67033674 100550511 201101022