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2113133112 = 2332413132287
BaseRepresentation
bin111110111110011…
…1101101000111000
312110021020021200100
41331330331220320
513311430224422
6545403435400
7103236222636
oct17574755070
95407207610
102113133112
11994899202
124ab825b60
13278a3882c
14160908356
15c57ad7ac
hex7df3da38

2113133112 has 96 divisors (see below), whose sum is σ = 5883958080. Its totient is φ = 684702720.

The previous prime is 2113133101. The next prime is 2113133129. The reversal of 2113133112 is 2113313112.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922833 + ... + 925119.

It is an arithmetic number, because the mean of its divisors is an integer number (61291230).

Almost surely, 22113133112 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 2113133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941979040).

2113133112 is an abundant number, since it is smaller than the sum of its proper divisors (3770824968).

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

2113133112 is a wasteful number, since it uses less digits than its factorization.

2113133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2646 counting only the distinct ones).

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

The square root of 2113133112 is about 45968.8276117632. The cubic root of 2113133112 is about 1283.2431414586.

Adding to 2113133112 its reverse (2113313112), we get a palindrome (4226446224).

The spelling of 2113133112 in words is "two billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 313 328 369 492 626 738 939 984 1252 1476 1878 2287 2504 2817 2952 3756 4574 5634 6861 7512 9148 11268 12833 13722 18296 20583 22536 25666 27444 38499 41166 51332 54888 76998 82332 93767 102664 115497 153996 164664 187534 230994 281301 307992 375068 461988 562602 715831 750136 843903 923976 1125204 1431662 1687806 2147493 2250408 2863324 3375612 4294986 5726648 6442479 6751224 8589972 12884958 17179944 25769916 29349071 51539832 58698142 88047213 117396284 176094426 234792568 264141639 352188852 528283278 704377704 1056566556 2113133112