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2114121412 = 2213192112621
BaseRepresentation
bin111111000000010…
…1110111011000100
312110100002111101001
41332000232323010
513312203341122
6545440543044
7103250510164
oct17600567304
95410074331
102114121412
11995403787
124b0021a84
13278cc3620
14160ac45a4
15c5906527
hex7e02eec4

2114121412 has 36 divisors (see below), whose sum is σ = 4205080236. Its totient is φ = 924384960.

The previous prime is 2114121371. The next prime is 2114121413. The reversal of 2114121412 is 2141214112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1087944256 + 1026177156 = 32984^2 + 32034^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2114121412.

It is not an unprimeable number, because it can be changed into a prime (2114121413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37539 + ... + 75082.

Almost surely, 22114121412 is an apocalyptic number.

It is an amenable number.

2114121412 is a deficient number, since it is larger than the sum of its proper divisors (2090958824).

2114121412 is a wasteful number, since it uses less digits than its factorization.

2114121412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112676 (or 112655 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 2114121412 is about 45979.5760311032. The cubic root of 2114121412 is about 1283.4431653830.

Adding to 2114121412 its reverse (2141214112), we get a palindrome (4255335524).

The spelling of 2114121412 in words is "two billion, one hundred fourteen million, one hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 4 13 19 26 38 52 76 247 361 494 722 988 1444 4693 9386 18772 112621 225242 450484 1464073 2139799 2928146 4279598 5856292 8559196 27817387 40656181 55634774 81312362 111269548 162624724 528530353 1057060706 2114121412