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103231033220 = 2257261228309
BaseRepresentation
bin110000000100100001…
…1001000111110000100
3100212110100101211120202
41200021003020332010
53142404121030340
6115231303150032
710313106206300
oct1401103107604
9325410354522
10103231033220
113a864255197
121800ba45318
139972025613
144dd4206d00
152a42c17c15
hex18090c8f84

103231033220 has 108 divisors (see below), whose sum is σ = 256389571620. Its totient is φ = 34812046080.

The previous prime is 103231033207. The next prime is 103231033237. The reversal of 103231033220 is 22330132301.

It can be written as a sum of positive squares in 6 ways, for example, as 44005970176 + 59225063044 = 209776^2 + 243362^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103231033192 and 103231033201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3632426 + ... + 3660734.

It is an arithmetic number, because the mean of its divisors is an integer number (2373977515).

Almost surely, 2103231033220 is an apocalyptic number.

103231033220 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 103231033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128194785810).

103231033220 is an abundant number, since it is smaller than the sum of its proper divisors (153158538400).

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

103231033220 is a wasteful number, since it uses less digits than its factorization.

103231033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28454 (or 28384 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103231033220 its reverse (22330132301), we get a palindrome (125561165521).

The spelling of 103231033220 in words is "one hundred three billion, two hundred thirty-one million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2989 3721 4270 5978 7442 8540 11956 14884 14945 18605 26047 28309 29890 37210 52094 56618 59780 74420 104188 113236 130235 141545 182329 198163 260470 283090 364658 396326 520940 566180 729316 792652 911645 990815 1387141 1726849 1823290 1981630 2774282 3453698 3646580 3963260 5548564 6907396 6935705 8634245 12087943 13871410 17268490 24175886 27742820 34536980 48351772 60439715 84615601 105337789 120879430 169231202 210675578 241758860 338462404 421351156 423078005 526688945 737364523 846156010 1053377890 1474729046 1692312020 2106755780 2949458092 3686822615 5161551661 7373645230 10323103322 14747290460 20646206644 25807758305 51615516610 103231033220