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3113012100 = 22352114720071
BaseRepresentation
bin1011100110001100…
…1100101110000100
322000221200101210110
42321203030232010
522333412341400
61232522353020
7140100111012
oct27143145604
98027611713
103113012100
11135823a080
1272a65b770
133a7c328c3
142176238b2
15133468e50
hexb98ccb84

3113012100 has 144 divisors (see below), whose sum is σ = 10035357696. Its totient is φ = 738576000.

The previous prime is 3113012099. The next prime is 3113012107. The reversal of 3113012100 is 12103113.

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

It is not an unprimeable number, because it can be changed into a prime (3113012107) 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, 145065 + ... + 165135.

It is an arithmetic number, because the mean of its divisors is an integer number (69689984).

Almost surely, 23113012100 is an apocalyptic number.

3113012100 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 3113012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017678848).

3113012100 is an abundant number, since it is smaller than the sum of its proper divisors (6922345596).

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

3113012100 is a wasteful number, since it uses less digits than its factorization.

3113012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20146 (or 20139 counting only the distinct ones).

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

The square root of 3113012100 is about 55794.3733722317. The cubic root of 3113012100 is about 1460.1369890852.

Adding to 3113012100 its reverse (12103113), we get a palindrome (3125115213).

The spelling of 3113012100 in words is "three billion, one hundred thirteen million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 165 188 220 235 275 282 300 330 470 517 550 564 660 705 825 940 1034 1100 1175 1410 1551 1650 2068 2350 2585 2820 3102 3300 3525 4700 5170 6204 7050 7755 10340 12925 14100 15510 20071 25850 31020 38775 40142 51700 60213 77550 80284 100355 120426 155100 200710 220781 240852 301065 401420 441562 501775 602130 662343 883124 943337 1003550 1103905 1204260 1324686 1505325 1886674 2007100 2207810 2649372 2830011 3010650 3311715 3773348 4415620 4716685 5519525 5660022 6021300 6623430 9433370 10376707 11039050 11320044 13246860 14150055 16558575 18866740 20753414 22078100 23583425 28300110 31130121 33117150 41506828 47166850 51883535 56600220 62260242 66234300 70750275 94333700 103767070 124520484 141500550 155650605 207534140 259417675 283001100 311301210 518835350 622602420 778253025 1037670700 1556506050 3113012100