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2313133032 = 2337291672843
BaseRepresentation
bin1000100111011111…
…1001101111101000
312222012120022222210
42021313321233220
514214130224112
61021310245120
7111215210040
oct21167715750
95865508883
102313133032
11a877810a1
125467b67a0
132ab2c2a92
1417d2ca720
15d8117b3c
hex89df9be8

2313133032 has 128 divisors (see below), whose sum is σ = 6880204800. Its totient is φ = 634061568.

The previous prime is 2313133027. The next prime is 2313133063. The reversal of 2313133032 is 2303313132.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812203 + ... + 815045.

It is an arithmetic number, because the mean of its divisors is an integer number (53751600).

Almost surely, 22313133032 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 2313133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440102400).

2313133032 is an abundant number, since it is smaller than the sum of its proper divisors (4567071768).

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

2313133032 is a wasteful number, since it uses less digits than its factorization.

2313133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 2313133032 is about 48095.0416571189. The cubic root of 2313133032 is about 1322.5137727014.

Adding to 2313133032 its reverse (2303313132), we get a palindrome (4616446164).

The spelling of 2313133032 in words is "two billion, three hundred thirteen million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 167 168 174 203 232 334 348 406 501 609 668 696 812 1002 1169 1218 1336 1624 2004 2338 2436 2843 3507 4008 4676 4843 4872 5686 7014 8529 9352 9686 11372 14028 14529 17058 19372 19901 22744 28056 29058 33901 34116 38744 39802 58116 59703 67802 68232 79604 82447 101703 116232 119406 135604 159208 164894 203406 238812 247341 271208 329788 406812 474781 477624 494682 577129 659576 813624 949562 989364 1154258 1424343 1731387 1899124 1978728 2308516 2848686 3323467 3462774 3798248 4617032 5697372 6646934 6925548 9970401 11394744 13293868 13768649 13851096 19940802 26587736 27537298 39881604 41305947 55074596 79763208 82611894 96380543 110149192 165223788 192761086 289141629 330447576 385522172 578283258 771044344 1156566516 2313133032