Search a number
-
+
212010120 = 23325784131
BaseRepresentation
bin11001010001100…
…00010010001000
3112202221020012200
430220300102020
5413233310440
633012040200
75153025210
oct1450602210
9482836180
10212010120
11a9746383
125b003060
1334c00a9a
142022b240
151392cc30
hexca30488

212010120 has 96 divisors (see below), whose sum is σ = 787475520. Its totient is φ = 48458880.

The previous prime is 212010119. The next prime is 212010133. The reversal of 212010120 is 21010212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39546 + ... + 44585.

It is an arithmetic number, because the mean of its divisors is an integer number (8202870).

Almost surely, 2212010120 is an apocalyptic number.

212010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010120 is an abundant number, since it is smaller than the sum of its proper divisors (575465400).

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

212010120 is a wasteful number, since it uses less digits than its factorization.

212010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84155 (or 84148 counting only the distinct ones).

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

The square root of 212010120 is about 14560.5672966406. The cubic root of 212010120 is about 596.2826834925.

Adding to 212010120 its reverse (21010212), we get a palindrome (233020332).

The spelling of 212010120 in words is "two hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 84131 168262 252393 336524 420655 504786 588917 673048 757179 841310 1009572 1177834 1261965 1514358 1682620 1766751 2019144 2355668 2523930 2944585 3028716 3365240 3533502 3785895 4711336 5047860 5300253 5889170 6057432 7067004 7571790 8833755 10095720 10600506 11778340 14134008 15143580 17667510 21201012 23556680 26501265 30287160 35335020 42402024 53002530 70670040 106005060 212010120