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2113020312 = 2331315144851
BaseRepresentation
bin111110111110010…
…0010000110011000
312110021000112221120
41331330202012120
513311413122222
6545401205240
7103235243034
oct17574420630
95407015846
102113020312
11994821487
124ab790820
132789c93a0
141608b91c4
15c578a15c
hex7df22198

2113020312 has 64 divisors (see below), whose sum is σ = 5726703360. Its totient is φ = 645840000.

The previous prime is 2113020311. The next prime is 2113020337. The reversal of 2113020312 is 2130203112.

2113020312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2113020291 and 2113020300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113020311) 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, 24687 + ... + 69537.

It is an arithmetic number, because the mean of its divisors is an integer number (89479740).

Almost surely, 22113020312 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 2113020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863351680).

2113020312 is an abundant number, since it is smaller than the sum of its proper divisors (3613683048).

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

2113020312 is a wasteful number, since it uses less digits than its factorization.

2113020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45024 (or 45020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2113020312 is about 45967.6006769986. The cubic root of 2113020312 is about 1283.2203076861.

Adding to 2113020312 its reverse (2130203112), we get a palindrome (4243223424).

The spelling of 2113020312 in words is "two billion, one hundred thirteen million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 906 1208 1812 1963 3624 3926 5889 7852 11778 15704 23556 44851 47112 89702 134553 179404 269106 358808 538212 583063 1076424 1166126 1749189 2332252 3498378 4664504 6772501 6996756 13545002 13993512 20317503 27090004 40635006 54180008 81270012 88042513 162540024 176085026 264127539 352170052 528255078 704340104 1056510156 2113020312