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2242103031 = 33711862979
BaseRepresentation
bin1000010110100011…
…1100011011110111
312210020220122011000
42011220330123313
514042434244111
61010252014343
7106363363350
oct20550743367
95706818130
102242103031
11a50677213
12526a613b3
132996834ac
14173abad27
15d1c86c56
hex85a3c6f7

2242103031 has 16 divisors (see below), whose sum is σ = 3796153600. Its totient is φ = 1281201624.

The previous prime is 2242102927. The next prime is 2242103051. The reversal of 2242103031 is 1303012422.

It is not a de Polignac number, because 2242103031 - 27 = 2242102903 is a prime.

It is a super-3 number, since 3×22421030313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2242102995 and 2242103013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242103051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5931301 + ... + 5931678.

It is an arithmetic number, because the mean of its divisors is an integer number (237259600).

Almost surely, 22242103031 is an apocalyptic number.

2242103031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2242103031 is a deficient number, since it is larger than the sum of its proper divisors (1554050569).

2242103031 is a wasteful number, since it uses less digits than its factorization.

2242103031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11862995 (or 11862989 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2242103031 is about 47350.8503725118. The cubic root of 2242103031 is about 1308.8358694407.

Adding to 2242103031 its reverse (1303012422), we get a palindrome (3545115453).

The spelling of 2242103031 in words is "two billion, two hundred forty-two million, one hundred three thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 189 11862979 35588937 83040853 106766811 249122559 320300433 747367677 2242103031