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1053212166 = 233312812239
BaseRepresentation
bin111110110001101…
…011111000000110
32201101210201111000
4332301223320012
54124110242131
6252301554130
735046104256
oct7661537006
92641721430
101053212166
114a0568986
12254875946
1313a27b686
149dc3d966
15626e2ce6
hex3ec6be06

1053212166 has 64 divisors (see below), whose sum is σ = 2425651200. Its totient is φ = 338385600.

The previous prime is 1053212119. The next prime is 1053212179. The reversal of 1053212166 is 6612123501.

1053212166 is a `hidden beast` number, since 1 + 0 + 532 + 121 + 6 + 6 = 666.

It is a super-2 number, since 2×10532121662 = 2218511733220823112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469275 + ... + 471513.

It is an arithmetic number, because the mean of its divisors is an integer number (37900800).

Almost surely, 21053212166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053212166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212825600).

1053212166 is an abundant number, since it is smaller than the sum of its proper divisors (1372439034).

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

1053212166 is a wasteful number, since it uses less digits than its factorization.

1053212166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1053212166 is about 32453.2304401272. The cubic root of 1053212166 is about 1017.4317568785.

Adding to 1053212166 its reverse (6612123501), we get a palindrome (7665335667).

The spelling of 1053212166 in words is "one billion, fifty-three million, two hundred twelve thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 281 558 562 837 843 1674 1686 2239 2529 4478 5058 6717 7587 8711 13434 15174 17422 20151 26133 40302 52266 60453 69409 78399 120906 138818 156798 208227 235197 416454 470394 624681 629159 1249362 1258318 1874043 1887477 3748086 3774954 5662431 11324862 16987293 19503929 33974586 39007858 58511787 117023574 175535361 351070722 526606083 1053212166