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2112100212 = 2232323131063
BaseRepresentation
bin111110111100100…
…0001011101110100
312110012021210210210
41331321001131310
513311144201322
6545325345420
7103224361365
oct17571013564
95405253723
102112100212
11994253172
124ab408270
13278766651
14160719b6c
15c565770c
hex7de41774

2112100212 has 72 divisors (see below), whose sum is σ = 5173142464. Its totient is φ = 670640256.

The previous prime is 2112100201. The next prime is 2112100223. The reversal of 2112100212 is 2120012112.

It is an interprime number because it is at equal distance from previous prime (2112100201) and next prime (2112100223).

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 23 ways as a sum of consecutive naturals, for example, 1986393 + ... + 1987455.

Almost surely, 22112100212 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 2112100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586571232).

2112100212 is an abundant number, since it is smaller than the sum of its proper divisors (3061042252).

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

2112100212 is a wasteful number, since it uses less digits than its factorization.

2112100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1404 counting only the distinct ones).

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

The square root of 2112100212 is about 45957.5914512499. The cubic root of 2112100212 is about 1283.0340241919.

Adding to 2112100212 its reverse (2120012112), we get a palindrome (4232112324).

The spelling of 2112100212 in words is "two billion, one hundred twelve million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 313 529 626 939 1058 1063 1252 1587 1878 2116 2126 3174 3189 3756 4252 6348 6378 7199 12756 14398 21597 24449 28796 43194 48898 73347 86388 97796 146694 165577 293388 331154 332719 496731 562327 662308 665438 993462 998157 1124654 1330876 1686981 1986924 1996314 2249308 3373962 3992628 6747924 7652537 15305074 22957611 30610148 45915222 91830444 176008351 352016702 528025053 704033404 1056050106 2112100212