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3113232100 = 22521117229727
BaseRepresentation
bin1011100110010000…
…0010011011100100
322000222002120120121
42321210002123210
522333441411400
61232531211324
7140102015266
oct27144023344
98028076517
103113232100
11135837a3a0
1272a746b44
133a7caba94
1421767db36
151334ae21a
hexb99026e4

3113232100 has 144 divisors (see below), whose sum is σ = 7848247680. Its totient is φ = 1059379200.

The previous prime is 3113232077. The next prime is 3113232103. The reversal of 3113232100 is 12323113.

It is not an unprimeable number, because it can be changed into a prime (3113232103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4281937 + ... + 4282663.

It is an arithmetic number, because the mean of its divisors is an integer number (54501720).

Almost surely, 23113232100 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 3113232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924123840).

3113232100 is an abundant number, since it is smaller than the sum of its proper divisors (4735015580).

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

3113232100 is a wasteful number, since it uses less digits than its factorization.

3113232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3113232100 is about 55796.3448623653. The cubic root of 3113232100 is about 1460.1713847724.

Adding to 3113232100 its reverse (12323113), we get a palindrome (3125555213).

The spelling of 3113232100 in words is "three billion, one hundred thirteen million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 229 275 340 374 425 458 550 727 748 850 916 935 1100 1145 1454 1700 1870 2290 2519 2908 3635 3740 3893 4580 4675 5038 5725 7270 7786 7997 9350 10076 11450 12359 12595 14540 15572 15994 18175 18700 19465 22900 24718 25190 31988 36350 38930 39985 42823 49436 50380 61795 62975 72700 77860 79970 85646 97325 123590 125950 135949 159940 166483 171292 194650 199925 214115 247180 251900 271898 308975 332966 389300 399850 428230 543796 617950 665932 679745 799700 832415 856460 1070575 1235900 1359490 1664830 1831313 2141150 2718980 2830211 3329660 3398725 3662626 4162075 4282300 5660422 6797450 7325252 8324150 9156565 11320844 13594900 14151055 16648300 18313130 28302110 31132321 36626260 45782825 56604220 62264642 70755275 91565650 124529284 141510550 155661605 183131300 283021100 311323210 622646420 778308025 1556616050 3113232100