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13300112100 = 223521119212123
BaseRepresentation
bin11000110001011111…
…11001101011100100
31021022220111200212110
430120233321223210
5204214312041400
610035431321020
7650406042012
oct143057715344
937286450773
1013300112100
115705626090
1226b2220170
13133c60b822
1490256b8b2
1552c983e50
hex318bf9ae4

13300112100 has 144 divisors (see below), whose sum is σ = 44189671680. Its totient is φ = 3054556800.

The previous prime is 13300112047. The next prime is 13300112131. The reversal of 13300112100 is 121100331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43362 + ... + 168761.

It is an arithmetic number, because the mean of its divisors is an integer number (306872720).

Almost surely, 213300112100 is an apocalyptic number.

13300112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300112100 is an abundant number, since it is smaller than the sum of its proper divisors (30889559580).

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

13300112100 is a wasteful number, since it uses less digits than its factorization.

13300112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212170 (or 212163 counting only the distinct ones).

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

Adding to 13300112100 its reverse (121100331), we get a palindrome (13421212431).

The spelling of 13300112100 in words is "thirteen billion, three hundred million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 212123 424246 636369 848492 1060615 1272738 2121230 2333353 2545476 3181845 4030337 4242460 4666706 5303075 6363690 7000059 8060674 9333412 10606150 11666765 12091011 12727380 14000118 15909225 16121348 20151685 21212300 23333530 24182022 28000236 31818450 35000295 40303370 44333707 46667060 48364044 58333825 60455055 63636900 70000590 80606740 88667414 100758425 116667650 120910110 133001121 140001180 175001475 177334828 201516850 221668535 233335300 241820220 266002242 302275275 350002950 403033700 443337070 532004484 604550550 665005605 700005900 886674140 1108342675 1209101100 1330011210 2216685350 2660022420 3325028025 4433370700 6650056050 13300112100