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210112112 = 24717211523
BaseRepresentation
bin11001000011000…
…00111001110000
3112122100210122002
430201200321300
5412242041422
632503233132
75130631520
oct1441407160
9478323562
10210112112
11a866a381
125a4487a8
13346b7bc2
141dc95680
15136a5692
hexc860e70

210112112 has 80 divisors (see below), whose sum is σ = 495896832. Its totient is φ = 84188160.

The previous prime is 210112109. The next prime is 210112117. The reversal of 210112112 is 211211012.

It is a junction number, because it is equal to n+sod(n) for n = 210112093 and 210112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401483 + ... + 402005.

Almost surely, 2210112112 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 210112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247948416).

210112112 is an abundant number, since it is smaller than the sum of its proper divisors (285784720).

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

210112112 is a wasteful number, since it uses less digits than its factorization.

210112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 210112112 is about 14495.2444615467. The cubic root of 210112112 is about 594.4979518519.

Adding to 210112112 its reverse (211211012), we get a palindrome (421323124).

The spelling of 210112112 in words is "two hundred ten million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 211 238 272 422 476 523 844 952 1046 1477 1688 1904 2092 2954 3376 3587 3661 4184 5908 7174 7322 8368 8891 11816 14348 14644 17782 23632 25109 28696 29288 35564 50218 57392 58576 62237 71128 100436 110353 124474 142256 200872 220706 248948 401744 441412 497896 772471 882824 995792 1544942 1765648 1876001 3089884 3752002 6179768 7504004 12359536 13132007 15008008 26264014 30016016 52528028 105056056 210112112