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2212130031 = 34171253307
BaseRepresentation
bin1000001111011010…
…0110110011101111
312201011111211220220
42003312212303233
514012301130111
61003301342423
7105550536456
oct20366466357
95634454826
102212130031
11a35765041
12518a07a13
132933ba8a7
1416db17b9d
15ce315e06
hex83da6cef

2212130031 has 16 divisors (see below), whose sum is σ = 3064013568. Its totient is φ = 1418513600.

The previous prime is 2212130003. The next prime is 2212130077. The reversal of 2212130031 is 1300312122.

It is a cyclic number.

It is not a de Polignac number, because 2212130031 - 25 = 2212129999 is a prime.

It is a super-2 number, since 2×22121300312 = 9787038548104121922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212130231) 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, 117921 + ... + 135386.

It is an arithmetic number, because the mean of its divisors is an integer number (191500848).

Almost surely, 22212130031 is an apocalyptic number.

2212130031 is a deficient number, since it is larger than the sum of its proper divisors (851883537).

2212130031 is a wasteful number, since it uses less digits than its factorization.

2212130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253422.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2212130031 is about 47033.2864150487. The cubic root of 2212130031 is about 1302.9774026415.

Adding to 2212130031 its reverse (1300312122), we get a palindrome (3512442153).

The spelling of 2212130031 in words is "two billion, two hundred twelve million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 41 71 123 213 2911 8733 253307 759921 10385587 17984797 31156761 53954391 737376677 2212130031