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312113000100 = 223521194579697
BaseRepresentation
bin1001000101010110110…
…00100110111010100100
31002211121200200012002110
410202223120212322210
520103201412000400
6355214400441020
731356310504416
oct4425330467244
91084550605073
10312113000100
11110403719590
12505a6019170
13235805091a5
141116bb769b6
1581bad00e50
hex48ab626ea4

312113000100 has 72 divisors (see below), whose sum is σ = 985142134368. Its totient is φ = 75663756800.

The previous prime is 312113000039. The next prime is 312113000117. The reversal of 312113000100 is 1000311213.

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 23 ways as a sum of consecutive naturals, for example, 47286549 + ... + 47293148.

It is an arithmetic number, because the mean of its divisors is an integer number (13682529644).

Almost surely, 2312113000100 is an apocalyptic number.

312113000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312113000100 is an abundant number, since it is smaller than the sum of its proper divisors (673029134268).

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

312113000100 is a wasteful number, since it uses less digits than its factorization.

312113000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94579725 (or 94579718 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 312113000100 its reverse (1000311213), we get a palindrome (313113311313).

The spelling of 312113000100 in words is "three hundred twelve billion, one hundred thirteen million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 94579697 189159394 283739091 378318788 472898485 567478182 945796970 1040376667 1134956364 1418695455 1891593940 2080753334 2364492425 2837390910 3121130001 4161506668 4728984850 5201883335 5674781820 6242260002 7093477275 9457969700 10403766670 12484520004 14186954550 15605650005 20807533340 26009416675 28373909100 31211300010 52018833350 62422600020 78028250025 104037666700 156056500050 312113000100