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2210000031 = 34712511531
BaseRepresentation
bin1000001110111001…
…1110110010011111
312201000111122010000
42003232132302133
514011230000111
61003143545343
7105523455531
oct20356366237
95630448100
102210000031
11a3453a808
1251815b253
13292b23235
1416d721851
15ce044c56
hex83b9ec9f

2210000031 has 40 divisors (see below), whose sum is σ = 3363389568. Its totient is φ = 1445850000.

The previous prime is 2209999969. The next prime is 2210000063. The reversal of 2210000031 is 1300000122.

It is a happy number.

It is not a de Polignac number, because 2210000031 - 217 = 2209868959 is a prime.

It is a super-2 number, since 2×22100000312 = 9768200274040001922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2209999968 and 2210000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210000231) 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 39 ways as a sum of consecutive naturals, for example, 1442736 + ... + 1444266.

Almost surely, 22210000031 is an apocalyptic number.

2210000031 is a deficient number, since it is larger than the sum of its proper divisors (1153389537).

2210000031 is a wasteful number, since it uses less digits than its factorization.

2210000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2210000031 is about 47010.6374238852. The cubic root of 2210000031 is about 1302.5590678129.

Adding to 2210000031 its reverse (1300000122), we get a palindrome (3510000153).

Subtracting from 2210000031 its reverse (1300000122), we obtain a palindrome (909999909).

The spelling of 2210000031 in words is "two billion, two hundred ten million, thirty-one", and thus it is an aban number.

Divisors: 1 3 9 27 71 81 213 251 639 753 1531 1917 2259 4593 5751 6777 13779 17821 20331 41337 53463 108701 124011 160389 326103 384281 481167 978309 1152843 1443501 2934927 3458529 8804781 10375587 27283951 31126761 81851853 245555559 736666677 2210000031