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113031020021 = 37110911932309
BaseRepresentation
bin110100101000100101…
…1000111110111110101
3101210202022210202011212
41221101023013313311
53322441420120041
6123531543011205
711111004550343
oct1512113076765
9353668722155
10113031020021
1143a33078337
1219aa5a39b05
13a87445278a
145683982993
152e182678eb
hex1a512c7df5

113031020021 has 16 divisors (see below), whose sum is σ = 116338345200. Its totient is φ = 109737312768.

The previous prime is 113031019967. The next prime is 113031020057. The reversal of 113031020021 is 120020130311.

It can be written as a sum of positive squares in 8 ways, for example, as 882387025 + 112148632996 = 29705^2 + 334886^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113031020021 is a prime.

It is a super-2 number, since 2×1130310200212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113031019978 and 113031020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113031020321) 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, 48951215 + ... + 48953523.

It is an arithmetic number, because the mean of its divisors is an integer number (7271146575).

Almost surely, 2113031020021 is an apocalyptic number.

It is an amenable number.

113031020021 is a deficient number, since it is larger than the sum of its proper divisors (3307325179).

113031020021 is a wasteful number, since it uses less digits than its factorization.

113031020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 113031020021 its reverse (120020130311), we get a palindrome (233051150332).

The spelling of 113031020021 in words is "one hundred thirteen billion, thirty-one million, twenty thousand, twenty-one".

Divisors: 1 37 1109 1193 2309 41033 44141 85433 1323037 2560681 2754637 48952369 94745197 101921569 3054892433 113031020021