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210117132 = 22333197647
BaseRepresentation
bin11001000011000…
…10001000001100
3112122101001112000
430201202020030
5412242222012
632503312300
75130652251
oct1441421014
9478331460
10210117132
11a8673125
125a44b690
13346ba284
141dc97428
15136a6ddc
hexc86220c

210117132 has 96 divisors (see below), whose sum is σ = 568995840. Its totient is φ = 66977280.

The previous prime is 210117109. The next prime is 210117133. The reversal of 210117132 is 231711012.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (210117133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324433 + ... + 325079.

It is an arithmetic number, because the mean of its divisors is an integer number (5927040).

Almost surely, 2210117132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210117132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

210117132 is an abundant number, since it is smaller than the sum of its proper divisors (358878708).

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

210117132 is a wasteful number, since it uses less digits than its factorization.

210117132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 210117132 is about 14495.4176207517. The cubic root of 210117132 is about 594.5026863972.

Adding to 210117132 its reverse (231711012), we get a palindrome (441828144).

The spelling of 210117132 in words is "two hundred ten million, one hundred seventeen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 97 108 124 186 194 279 291 372 388 558 582 647 837 873 1116 1164 1294 1674 1746 1941 2588 2619 3007 3348 3492 3882 5238 5823 6014 7764 9021 10476 11646 12028 17469 18042 20057 23292 27063 34938 36084 40114 54126 60171 62759 69876 80228 81189 108252 120342 125518 162378 180513 188277 240684 251036 324756 361026 376554 541539 564831 722052 753108 1083078 1129662 1694493 1945529 2166156 2259324 3388986 3891058 5836587 6777972 7782116 11673174 17509761 23346348 35019522 52529283 70039044 105058566 210117132