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113222203220 = 22571935577523
BaseRepresentation
bin110100101110010010…
…0011011011101010100
3101211020122112212020002
41221130210123131110
53323334341000340
6124002532430432
711115515563640
oct1513444333524
9354218485202
10113222203220
1144020a89085
1219b39a78418
13a8a4c40929
1456a110bc20
152e29e2e715
hex1a5c91b754

113222203220 has 96 divisors (see below), whose sum is σ = 273667984128. Its totient is φ = 38543450112.

The previous prime is 113222203219. The next prime is 113222203223. The reversal of 113222203220 is 22302222311.

It is a happy number.

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 = 113222203192 and 113222203201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113222203223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15046379 + ... + 15053901.

It is an arithmetic number, because the mean of its divisors is an integer number (2850708168).

Almost surely, 2113222203220 is an apocalyptic number.

113222203220 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 113222203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136833992064).

113222203220 is an abundant number, since it is smaller than the sum of its proper divisors (160445780908).

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

113222203220 is a wasteful number, since it uses less digits than its factorization.

113222203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 113222203220 its reverse (22302222311), we get a palindrome (135524425531).

The spelling of 113222203220 in words is "one hundred thirteen billion, two hundred twenty-two million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 557 772 965 1114 1351 1930 2228 2702 2785 3860 3899 5404 5570 6755 7523 7798 11140 13510 15046 15596 19495 27020 30092 37615 38990 52661 75230 77980 105322 107501 150460 210644 215002 263305 430004 526610 537505 752507 1053220 1075010 1451939 1505014 2150020 2903878 3010028 3762535 4190311 5807756 7259695 7525070 8380622 10163573 14519390 15050140 16761244 20327146 20951555 29038780 29332177 40654292 41903110 50817865 58664354 83806220 101635730 117328708 146660885 203271460 293321770 586643540 808730023 1617460046 3234920092 4043650115 5661110161 8087300230 11322220322 16174600460 22644440644 28305550805 56611101610 113222203220