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210112122 = 231137139619
BaseRepresentation
bin11001000011000…
…00111001111010
3112122100210122110
430201200321322
5412242041442
632503233150
75130631533
oct1441407172
9478323573
10210112122
11a866a390
125a4487b6
13346b7bcc
141dc9568a
15136a569c
hexc860e7a

210112122 has 64 divisors (see below), whose sum is σ = 474969600. Its totient is φ = 61404480.

The previous prime is 210112117. The next prime is 210112139. The reversal of 210112122 is 221211012.

It is a super-2 number, since 2×2101121222 = 88294207622685768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210112098 and 210112107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339129 + ... + 339747.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2210112122 is an apocalyptic number.

210112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

210112122 is an abundant number, since it is smaller than the sum of its proper divisors (264857478).

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

210112122 is a wasteful number, since it uses less digits than its factorization.

210112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 210112122 is about 14495.2448064874. The cubic root of 210112122 is about 594.4979612833.

Adding to 210112122 its reverse (221211012), we get a palindrome (431323134).

The spelling of 210112122 in words is "two hundred ten million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 139 222 278 407 417 619 814 834 1221 1238 1529 1857 2442 3058 3714 4587 5143 6809 9174 10286 13618 15429 20427 22903 30858 40854 45806 56573 68709 86041 113146 137418 169719 172082 251933 258123 339438 503866 516246 755799 946451 1511598 1892902 2839353 3183517 5678706 6367034 9550551 19101102 35018687 70037374 105056061 210112122