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231255192100 = 225219225312
BaseRepresentation
bin1101011101011111100…
…0100011001000100100
3211002220120102221201211
43113113320203020210
512242102312121400
6254123121201204
722464501462022
oct3272770431044
9732816387654
10231255192100
118a090588679
123899aa90204
1318a6576119a
14b29b105712
15603738bdba
hex35d7e23224

231255192100 has 81 divisors (see below), whose sum is σ = 529834975761. Its totient is φ = 87598922400.

The previous prime is 231255192097. The next prime is 231255192107. The reversal of 231255192100 is 1291552132.

The square root of 231255192100 is 480890.

It is a perfect power (a square), and thus also a powerful number.

231255192100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 83251869156 + 148003322944 = 288534^2 + 384712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231255192107) 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 26 ways as a sum of consecutive naturals, for example, 91367835 + ... + 91370365.

Almost surely, 2231255192100 is an apocalyptic number.

231255192100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

231255192100 is the 480890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231255192100

231255192100 is an abundant number, since it is smaller than the sum of its proper divisors (298579783661).

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

231255192100 is an equidigital number, since it uses as much as digits as its factorization.

231255192100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 231255192100 in words is "two hundred thirty-one billion, two hundred fifty-five million, one hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 2531 3610 5062 7220 9025 10124 12655 18050 25310 36100 48089 50620 63275 96178 126550 192356 240445 253100 480890 913691 961780 1202225 1827382 2404450 3654764 4568455 4808900 6405961 9136910 12811922 18273820 22842275 25623844 32029805 45684550 64059610 91369100 121713259 128119220 160149025 243426518 320298050 486853036 608566295 640596100 1217132590 2312551921 2434265180 3042831475 4625103842 6085662950 9250207684 11562759605 12171325900 23125519210 46251038420 57813798025 115627596050 231255192100