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3113113032 = 2332177334841
BaseRepresentation
bin1011100110001110…
…0101010111001000
322000221212112020200
42321203211113020
522333424104112
61232524452200
7140101011201
oct27143452710
98027775220
103113113032
1113582a8997
1272a6aa060
133a7c69823
1421764c5a8
15133488cdc
hexb98e55c8

3113113032 has 96 divisors (see below), whose sum is σ = 9049861080. Its totient is φ = 963256320.

The previous prime is 3113113013. The next prime is 3113113037. The reversal of 3113113032 is 2303113113.

It is a happy number.

3113113032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2620006596 + 493106436 = 51186^2 + 22206^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3113112996 and 3113113014.

It is not an unprimeable number, because it can be changed into a prime (3113113037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71932 + ... + 106772.

Almost surely, 23113113032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524930540).

3113113032 is an abundant number, since it is smaller than the sum of its proper divisors (5936748048).

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

3113113032 is a wasteful number, since it uses less digits than its factorization.

3113113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34943 (or 34936 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3113113032 is about 55795.2778647082. The cubic root of 3113113032 is about 1460.1527694023.

Adding to 3113113032 its reverse (2303113113), we get a palindrome (5416226145).

The spelling of 3113113032 in words is "three billion, one hundred thirteen million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 73 102 136 146 153 204 219 292 306 408 438 584 612 657 876 1224 1241 1314 1752 2482 2628 3723 4964 5256 7446 9928 11169 14892 22338 29784 34841 44676 69682 89352 104523 139364 209046 278728 313569 418092 592297 627138 836184 1184594 1254276 1776891 2369188 2508552 2543393 3553782 4738376 5086786 5330673 7107564 7630179 10173572 10661346 14215128 15260358 20347144 21322692 22890537 30520716 42645384 43237681 45781074 61041432 86475362 91562148 129713043 172950724 183124296 259426086 345901448 389139129 518852172 778278258 1037704344 1556556516 3113113032