Search a number
-
+
203122111220 = 225723349180749
BaseRepresentation
bin1011110100101100000…
…1010111001011110100
3201102021221002100221022
42331023001113023310
511311443230024340
6233151335440312
720450361313040
oct2751301271364
9642257070838
10203122111220
1179164155606
1233449226098
13162010b9572
149b8c9d3020
15543c5d93b5
hex2f4b0572f4

203122111220 has 96 divisors (see below), whose sum is σ = 510148800000. Its totient is φ = 66422721024.

The previous prime is 203122111183. The next prime is 203122111223. The reversal of 203122111220 is 22111221302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203122111223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033406 + ... + 1214154.

It is an arithmetic number, because the mean of its divisors is an integer number (5314050000).

Almost surely, 2203122111220 is an apocalyptic number.

203122111220 is a gapful number since it is divisible by the number (20) 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 203122111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255074400000).

203122111220 is an abundant number, since it is smaller than the sum of its proper divisors (307026688780).

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

203122111220 is a wasteful number, since it uses less digits than its factorization.

203122111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181137 (or 181135 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 203122111220 its reverse (22111221302), we get a palindrome (225233332522).

The spelling of 203122111220 in words is "two hundred three billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 349 460 644 698 805 1396 1610 1745 2443 3220 3490 4886 6980 8027 9772 12215 16054 24430 32108 40135 48860 56189 80270 112378 160540 180749 224756 280945 361498 561890 722996 903745 1123780 1265243 1807490 2530486 3614980 4157227 5060972 6326215 8314454 12652430 16628908 20786135 25304860 29100589 41572270 58201178 63081401 83144540 116402356 126162802 145502945 252325604 291005890 315407005 441569807 582011780 630814010 883139614 1261628020 1450872223 1766279228 2207849035 2901744446 4415698070 5803488892 7254361115 8831396140 10156105561 14508722230 20312211122 29017444460 40624422244 50780527805 101561055610 203122111220