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12213000100 = 22527213071907
BaseRepresentation
bin10110101111111001…
…11001011110100100
31011112010220200120001
423113330321132210
5200003012000400
65335514551044
7611435534200
oct132774713644
934463820501
1012213000100
1151a7a13814
12244a138484
1311c83210a2
1483c025b00
154b72e6a6a
hex2d7f397a4

12213000100 has 108 divisors (see below), whose sum is σ = 30868868016. Its totient is φ = 4181916480.

The previous prime is 12213000097. The next prime is 12213000113. The reversal of 12213000100 is 100031221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6403347 + ... + 6405253.

It is an arithmetic number, because the mean of its divisors is an integer number (285822852).

Almost surely, 212213000100 is an apocalyptic number.

12213000100 is a gapful number since it is divisible by the number (10) 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 12213000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434434008).

12213000100 is an abundant number, since it is smaller than the sum of its proper divisors (18655867916).

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

12213000100 is a wasteful number, since it uses less digits than its factorization.

12213000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12213000100 its reverse (100031221), we get a palindrome (12313031321).

The spelling of 12213000100 in words is "twelve billion, two hundred thirteen million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1307 1907 2450 2614 3814 4900 5228 6535 7628 9149 9535 13070 13349 18298 19070 26140 26698 32675 36596 38140 45745 47675 53396 64043 65350 66745 91490 93443 95350 128086 130700 133490 182980 186886 190700 228725 256172 266980 320215 333725 373772 457450 467215 640430 667450 914900 934430 1280860 1334900 1601075 1868860 2336075 2492449 3202150 4672150 4984898 6404300 9344300 9969796 12462245 17447143 24924490 34894286 49848980 62311225 69788572 87235715 122130001 124622450 174471430 244260002 249244900 348942860 436178575 488520004 610650005 872357150 1221300010 1744714300 2442600020 3053250025 6106500050 12213000100