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213000112 = 241310110139
BaseRepresentation
bin11001011001000…
…01111110110000
3112211210112020001
430230201332300
5414012000422
633045155344
75164320403
oct1454417660
9484715201
10213000112
11aa262156
125b3bbb54
1335189590
1420407d3a
1513a76227
hexcb21fb0

213000112 has 40 divisors (see below), whose sum is σ = 448877520. Its totient is φ = 97324800.

The previous prime is 213000103. The next prime is 213000121. The reversal of 213000112 is 211000312.

213000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213000103) and next prime (213000121).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15939 + ... + 26077.

It is an arithmetic number, because the mean of its divisors is an integer number (11221938).

Almost surely, 2213000112 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 213000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224438760).

213000112 is an abundant number, since it is smaller than the sum of its proper divisors (235877408).

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

213000112 is a wasteful number, since it uses less digits than its factorization.

213000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10261 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 213000112 is about 14594.5233563827. The cubic root of 213000112 is about 597.2093666578.

Adding to 213000112 its reverse (211000312), we get a palindrome (424000424).

The spelling of 213000112 in words is "two hundred thirteen million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 1313 1616 2626 5252 10139 10504 20278 21008 40556 81112 131807 162224 263614 527228 1024039 1054456 2048078 2108912 4096156 8192312 13312507 16384624 26625014 53250028 106500056 213000112