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223243122142100 = 225217131319483613
BaseRepresentation
bin110010110000100111010110…
…111111100110101110010100
31002021102211112000120022110202
4302300213112333212232110
5213230103403232021400
62110444250254240032
765010532451606444
oct6260472677465624
91067384460508422
10223243122142100
116514a970570925
1221056019ab6018
139774975252698
143d1b04bd46124
151ac20ec7444d5
hexcb09d6fe6b94

223243122142100 has 36 divisors (see below), whose sum is σ = 512933902996284. Its totient is φ = 84044469511680.

The previous prime is 223243122142093. The next prime is 223243122142111. The reversal of 223243122142100 is 1241221342322.

It can be written as a sum of positive squares in 6 ways, for example, as 25813532812804 + 197429589329296 = 5080702^2 + 14050964^2 .

It is a super-3 number, since 3×2232431221421003 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65659740107 + ... + 65659743506.

It is an arithmetic number, because the mean of its divisors is an integer number (14248163972119).

Almost surely, 2223243122142100 is an apocalyptic number.

223243122142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223243122142100 is an abundant number, since it is smaller than the sum of its proper divisors (289690780854184).

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

223243122142100 is a wasteful number, since it uses less digits than its factorization.

223243122142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131319483644 (or 131319483637 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 223243122142100 its reverse (1241221342322), we get a palindrome (224484343484422).

The spelling of 223243122142100 in words is "two hundred twenty-three trillion, two hundred forty-three billion, one hundred twenty-two million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 131319483613 262638967226 525277934452 656597418065 1313194836130 2232431221421 2626389672260 3282987090325 4464862442842 6565974180650 8929724885684 11162156107105 13131948361300 22324312214210 44648624428420 55810780535525 111621561071050 223243122142100