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212412002313 = 3713163768431
BaseRepresentation
bin1100010111010010111…
…1011111000000001001
3202022021100122201202210
43011310233133000021
511440004433033223
6241325234215333
721226524141450
oct3056457370011
9668240581683
10212412002313
11820a1046255
1235200424549
1317051938344
14a3d0709b97
1557d2e79893
hex3174bdf009

212412002313 has 16 divisors (see below), whose sum is σ = 323700443136. Its totient is φ = 121368907920.

The previous prime is 212412002293. The next prime is 212412002321. The reversal of 212412002313 is 313200214212.

212412002313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212412002313 - 28 = 212412002057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 212412002313.

It is not an unprimeable number, because it can be changed into a prime (212412002393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107793 + ... + 660638.

It is an arithmetic number, because the mean of its divisors is an integer number (20231277696).

Almost surely, 2212412002313 is an apocalyptic number.

It is an amenable number.

212412002313 is a deficient number, since it is larger than the sum of its proper divisors (111288440823).

212412002313 is a wasteful number, since it uses less digits than its factorization.

212412002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781604.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212412002313 its reverse (313200214212), we get a palindrome (525612216525).

The spelling of 212412002313 in words is "two hundred twelve billion, four hundred twelve million, two thousand, three hundred thirteen".

Divisors: 1 3 7 21 13163 39489 92141 276423 768431 2305293 5379017 16137051 10114857253 30344571759 70804000771 212412002313