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2113400212 = 2271134919661
BaseRepresentation
bin111110111110111…
…1110110110010100
312110021201212001221
41331331332312110
513312012301322
6545413300124
7103241414440
oct17575766624
95407655057
102113400212
11994a60950
124ab934644
13278b00291
14160977820
15c58129c7
hex7df7ed94

2113400212 has 48 divisors (see below), whose sum is σ = 4624502400. Its totient is φ = 821001600.

The previous prime is 2113400209. The next prime is 2113400221. The reversal of 2113400212 is 2120043112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97662 + ... + 117322.

It is an arithmetic number, because the mean of its divisors is an integer number (96343800).

Almost surely, 22113400212 is an apocalyptic number.

2113400212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113400212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312251200).

2113400212 is an abundant number, since it is smaller than the sum of its proper divisors (2511102188).

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

2113400212 is a wasteful number, since it uses less digits than its factorization.

2113400212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20032 (or 20030 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2113400212 is about 45971.7327495930. The cubic root of 2113400212 is about 1283.2972064866.

Adding to 2113400212 its reverse (2120043112), we get a palindrome (4233443324).

The spelling of 2113400212 in words is "two billion, one hundred thirteen million, four hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 349 698 1396 2443 3839 4886 7678 9772 15356 19661 26873 39322 53746 78644 107492 137627 216271 275254 432542 550508 865084 1513897 3027794 6055588 6861689 13723378 27446756 48031823 75478579 96063646 150957158 192127292 301914316 528350053 1056700106 2113400212