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3112401000 = 233533532939
BaseRepresentation
bin1011100110000011…
…0111100001101000
322000220112100112010
42321200313201220
522333233313000
61232501315520
7140061654252
oct27140674150
98026470463
103112401000
111357961a35
1272a405ba0
133a7a7a6c7
14217504cd2
15133397d50
hexb9837868

3112401000 has 128 divisors (see below), whose sum is σ = 9741513600. Its totient is φ = 827340800.

The previous prime is 3112400989. The next prime is 3112401031. The reversal of 3112401000 is 1042113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057531 + ... + 1060469.

It is an arithmetic number, because the mean of its divisors is an integer number (76105575).

Almost surely, 23112401000 is an apocalyptic number.

3112401000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870756800).

3112401000 is an abundant number, since it is smaller than the sum of its proper divisors (6629112600).

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

3112401000 is a wasteful number, since it uses less digits than its factorization.

3112401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3112401000 is about 55788.8967447825. The cubic root of 3112401000 is about 1460.0414387438.

Adding to 3112401000 its reverse (1042113), we get a palindrome (3113443113).

The spelling of 3112401000 in words is "three billion, one hundred twelve million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 353 375 500 600 706 750 1000 1059 1412 1500 1765 2118 2824 2939 3000 3530 4236 5295 5878 7060 8472 8817 8825 10590 11756 14120 14695 17634 17650 21180 23512 26475 29390 35268 35300 42360 44085 44125 52950 58780 70536 70600 73475 88170 88250 105900 117560 132375 146950 176340 176500 211800 220425 264750 293900 352680 353000 367375 440850 529500 587800 734750 881700 1037467 1059000 1102125 1469500 1763400 2074934 2204250 2939000 3112401 4149868 4408500 5187335 6224802 8299736 8817000 10374670 12449604 15562005 20749340 24899208 25936675 31124010 41498680 51873350 62248020 77810025 103746700 124496040 129683375 155620050 207493400 259366750 311240100 389050125 518733500 622480200 778100250 1037467000 1556200500 3112401000