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2113133232 = 243725571613
BaseRepresentation
bin111110111110011…
…1101101010110000
312110021020021211210
41331330331222300
513311430230412
6545403440120
7103236223200
oct17574755260
95407207753
102113133232
11994899301
124ab826040
13278a388c2
14160908400
15c57ad83c
hex7df3dab0

2113133232 has 120 divisors (see below), whose sum is σ = 6365525616. Its totient is φ = 602294784.

The previous prime is 2113133213. The next prime is 2113133237. The reversal of 2113133232 is 2323313112.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 2113133199 and 2113133208.

It is not an unprimeable number, because it can be changed into a prime (2113133237) 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, 1309258 + ... + 1310870.

Almost surely, 22113133232 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 2113133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182762808).

2113133232 is an abundant number, since it is smaller than the sum of its proper divisors (4252392384).

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

2113133232 is a wasteful number, since it uses less digits than its factorization.

2113133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2182 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 2113133232 is about 45968.8289169955. The cubic root of 2113133232 is about 1283.2431657494.

Adding to 2113133232 its reverse (2323313112), we get a palindrome (4436446344).

The spelling of 2113133232 in words is "two billion, one hundred thirteen million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 557 588 784 1114 1176 1613 1671 2228 2352 3226 3342 3899 4456 4839 6452 6684 7798 8912 9678 11291 11697 12904 13368 15596 19356 22582 23394 25808 26736 27293 31192 33873 38712 45164 46788 54586 62384 67746 77424 79037 81879 90328 93576 109172 135492 158074 163758 180656 187152 218344 237111 270984 316148 327516 436688 474222 541968 632296 655032 898441 948444 1264592 1310064 1796882 1896888 2695323 3593764 3793776 5390646 6289087 7187528 10781292 12578174 14375056 18867261 21562584 25156348 37734522 43125168 44023609 50312696 75469044 88047218 100625392 132070827 150938088 176094436 264141654 301876176 352188872 528283308 704377744 1056566616 2113133232