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2240100031 = 13832076089
BaseRepresentation
bin1000010110000101…
…0011011010111111
312210010010212112211
42011201103122333
514041431200111
61010141041251
7106340351611
oct20541233277
95703125484
102240100031
11a4a529344
12526256227
132991318a0
14173718db1
15d19dd521
hex858536bf

2240100031 has 8 divisors (see below), whose sum is σ = 2441481840. Its totient is φ = 2042870592.

The previous prime is 2240100029. The next prime is 2240100053. The reversal of 2240100031 is 1300010422.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2240100031 - 21 = 2240100029 is a prime.

It is a super-2 number, since 2×22401000312 = 10036096297772401922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2240099984 and 2240100020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1036966 + ... + 1039123.

It is an arithmetic number, because the mean of its divisors is an integer number (305185230).

Almost surely, 22240100031 is an apocalyptic number.

2240100031 is a deficient number, since it is larger than the sum of its proper divisors (201381809).

2240100031 is a wasteful number, since it uses less digits than its factorization.

2240100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076185.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2240100031 is about 47329.6950233149. The cubic root of 2240100031 is about 1308.4460004542.

Adding to 2240100031 its reverse (1300010422), we get a palindrome (3540110453).

The spelling of 2240100031 in words is "two billion, two hundred forty million, one hundred thousand, thirty-one".

Divisors: 1 13 83 1079 2076089 26989157 172315387 2240100031