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3113113122 = 233715752457
BaseRepresentation
bin1011100110001110…
…0101011000100010
322000221212112101000
42321203211120202
522333424104442
61232524452430
7140101011360
oct27143453042
98027775330
103113113122
1113582a8a69
1272a6aa116
133a7c69892
1421764c630
15133488d4c
hexb98e5622

3113113122 has 64 divisors (see below), whose sum is σ = 7956829440. Its totient is φ = 883778688.

The previous prime is 3113113079. The next prime is 3113113163. The reversal of 3113113122 is 2213113113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3113113095 and 3113113104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33118 + ... + 85574.

It is an arithmetic number, because the mean of its divisors is an integer number (124325460).

Almost surely, 23113113122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978414720).

3113113122 is an abundant number, since it is smaller than the sum of its proper divisors (4843716318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3113113122 is a wasteful number, since it uses less digits than its factorization.

3113113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52632 (or 52626 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 3113113122 is about 55795.2786712281. The cubic root of 3113113122 is about 1460.1527834733.

Adding to 3113113122 its reverse (2213113113), we get a palindrome (5326226235).

Subtracting from 3113113122 its reverse (2213113113), we obtain a palindrome (900000009).

It can be divided in two parts, 31131 and 13122, that added together give a triangular number (44253 = T297).

The spelling of 3113113122 in words is "three billion, one hundred thirteen million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 157 189 314 378 471 942 1099 1413 2198 2826 3297 4239 6594 8478 9891 19782 29673 52457 59346 104914 157371 314742 367199 472113 734398 944226 1101597 1416339 2203194 2832678 3304791 6609582 8235749 9914373 16471498 19828746 24707247 49414494 57650243 74121741 115300486 148243482 172950729 222365223 345901458 444730446 518852187 1037704374 1556556561 3113113122