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3113133100 = 22527111014003
BaseRepresentation
bin1011100110001110…
…1010010000101100
322000221220112202221
42321203222100230
522333430224400
61232525125124
7140101123540
oct27143522054
98027815687
103113133100
111358311a80
1272a6b97a4
133a7c759bc
14217655a20
1513348ec1a
hexb98ea42c

3113133100 has 144 divisors (see below), whose sum is σ = 8507955456. Its totient is φ = 960480000.

The previous prime is 3113133073. The next prime is 3113133113. The reversal of 3113133100 is 13313113.

It is a super-2 number, since 2×31131331002 = 19383195396631220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775699 + ... + 779701.

It is an arithmetic number, because the mean of its divisors is an integer number (59083024).

Almost surely, 23113133100 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 3113133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253977728).

3113133100 is an abundant number, since it is smaller than the sum of its proper divisors (5394822356).

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

3113133100 is a wasteful number, since it uses less digits than its factorization.

3113133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3113133100 is about 55795.4577004258. The cubic root of 3113133100 is about 1460.1559069137.

Adding to 3113133100 its reverse (13313113), we get a palindrome (3126446213).

It can be divided in two parts, 311313 and 3100, that added together give a palindrome (314413).

The spelling of 3113133100 in words is "three billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 101 110 140 154 175 202 220 275 308 350 385 404 505 550 700 707 770 1010 1100 1111 1414 1540 1925 2020 2222 2525 2828 3535 3850 4003 4444 5050 5555 7070 7700 7777 8006 10100 11110 14140 15554 16012 17675 20015 22220 27775 28021 31108 35350 38885 40030 44033 55550 56042 70700 77770 80060 88066 100075 111100 112084 140105 155540 176132 194425 200150 220165 280210 308231 388850 400300 404303 440330 560420 616462 700525 777700 808606 880660 1100825 1232924 1401050 1541155 1617212 2021515 2201650 2802100 2830121 3082310 4043030 4403300 4447333 5660242 6164620 7705775 8086060 8894666 10107575 11320484 14150605 15411550 17789332 20215150 22236665 28301210 30823100 31131331 40430300 44473330 56602420 62262662 70753025 88946660 111183325 124525324 141506050 155656655 222366650 283012100 311313310 444733300 622626620 778283275 1556566550 3113133100