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103240112220 = 22335727312199
BaseRepresentation
bin110000000100110010…
…1110001100001011100
3100212110222111002122000
41200021211301201130
53142413432042340
6115232225522300
710313246321550
oct1401145614134
9325428432560
10103240112220
113a8693963a3
1218012aa3390
139973b83bcb
144dd54cb860
152a4390cd30
hex180997185c

103240112220 has 96 divisors (see below), whose sum is σ = 367075968000. Its totient is φ = 23597739072.

The previous prime is 103240112219. The next prime is 103240112257. The reversal of 103240112220 is 22211042301.

It is a happy number.

103240112220 is a `hidden beast` number, since 1 + 0 + 32 + 401 + 12 + 220 = 666.

103240112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103240112193 and 103240112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13652320 + ... + 13659879.

It is an arithmetic number, because the mean of its divisors is an integer number (3823708000).

Almost surely, 2103240112220 is an apocalyptic number.

103240112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103240112220 is an abundant number, since it is smaller than the sum of its proper divisors (263835855780).

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

103240112220 is a wasteful number, since it uses less digits than its factorization.

103240112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27312224 (or 27312216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103240112220 its reverse (22211042301), we get a palindrome (125451154521).

The spelling of 103240112220 in words is "one hundred three billion, two hundred forty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 27312199 54624398 81936597 109248796 136560995 163873194 191185393 245809791 273121990 327746388 382370786 409682985 491619582 546243980 573556179 737429373 764741572 819365970 955926965 983239164 1147112358 1229048955 1474858746 1638731940 1720668537 1911853930 2294224716 2458097910 2867780895 2949717492 3441337074 3687146865 3823707860 4916195820 5162005611 5735561790 6882674148 7374293730 8603342685 10324011222 11471123580 14748587460 17206685370 20648022444 25810028055 34413370740 51620056110 103240112220