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213100212 = 22313359137
BaseRepresentation
bin11001011001110…
…10011010110100
3112211222121112110
430230322122310
5414023201322
633051251020
75165215263
oct1454723264
9484877473
10213100212
11aa320386
125b449a70
13351c3000
14204325da
1513a95c0c
hexcb3a6b4

213100212 has 96 divisors (see below), whose sum is σ = 551779200. Its totient is φ = 63987456.

The previous prime is 213100201. The next prime is 213100243. The reversal of 213100212 is 212001312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555408 + ... + 1555544.

It is an arithmetic number, because the mean of its divisors is an integer number (5747700).

Almost surely, 2213100212 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 213100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275889600).

213100212 is an abundant number, since it is smaller than the sum of its proper divisors (338678988).

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

213100212 is a wasteful number, since it uses less digits than its factorization.

213100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213100212 is about 14597.9523221581. The cubic root of 213100212 is about 597.3029054120.

Adding to 213100212 its reverse (212001312), we get a palindrome (425101524).

It can be divided in two parts, 213100 and 212, that added together give a palindrome (213312).

The spelling of 213100212 in words is "two hundred thirteen million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 137 156 169 177 236 274 338 354 411 507 548 676 708 767 822 1014 1534 1644 1781 2028 2197 2301 3068 3562 4394 4602 5343 6591 7124 8083 8788 9204 9971 10686 13182 16166 19942 21372 23153 24249 26364 29913 32332 39884 46306 48498 59826 69459 92612 96996 105079 119652 129623 138918 210158 259246 277836 300989 315237 388869 420316 518492 601978 630474 777738 902967 1203956 1260948 1366027 1555476 1805934 2732054 3611868 4098081 5464108 8196162 16392324 17758351 35516702 53275053 71033404 106550106 213100212