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231310142344100 = 225247743361718313
BaseRepresentation
bin110100100110000000010110…
…110111100000101110100100
31010100000000220112021201210202
4310212000112313200232210
5220304241132420002400
62135542225030010032
766502414650132641
oct6446002667405644
91110000815251722
10231310142344100
1167780098123856
1221b395567a6918
139c0b5b6b30cb1
144119683572dc8
151bb1d933b74d5
hexd26016de0ba4

231310142344100 has 144 divisors (see below), whose sum is σ = 513482538014208. Its totient is φ = 90403642613760.

The previous prime is 231310142344093. The next prime is 231310142344153. The reversal of 231310142344100 is 1443241013132.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12630916544 + ... + 12630934856.

It is an arithmetic number, because the mean of its divisors is an integer number (3565850958432).

Almost surely, 2231310142344100 is an apocalyptic number.

231310142344100 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 231310142344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256741269007104).

231310142344100 is an abundant number, since it is smaller than the sum of its proper divisors (282172395670108).

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

231310142344100 is a wasteful number, since it uses less digits than its factorization.

231310142344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22734 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 231310142344100 its reverse (1443241013132), we get a palindrome (232753383357232).

The spelling of 231310142344100 in words is "two hundred thirty-one trillion, three hundred ten billion, one hundred forty-two million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 743 940 1175 1486 2350 2972 3617 3715 4700 7234 7430 14468 14860 18085 18313 18575 34921 36170 36626 37150 69842 72340 73252 74300 90425 91565 139684 169999 174605 180850 183130 339998 349210 361700 366260 457825 679996 698420 849995 860711 873025 915650 1699990 1721422 1746050 1831300 2687431 3399980 3442844 3492100 4249975 4303555 5374862 8499950 8607110 10749724 13437155 13606559 16999900 17214220 21517775 26874310 27213118 43035550 53748620 54426236 66238121 67185775 68032795 86071100 126309257 132476242 134371550 136065590 252618514 264952484 268743100 272131180 331190605 340163975 505237028 631546285 639508273 662381210 680327950 1263092570 1279016546 1324762420 1360655900 1655953025 2526185140 2558033092 3113191687 3157731425 3197541365 3311906050 6226383374 6315462850 6395082730 6623812100 12452766748 12630925700 12790165460 15565958435 15987706825 31131916870 31975413650 49214923903 62263833740 63950827300 77829792175 98429847806 155659584350 196859695612 246074619515 311319168700 492149239030 984298478060 1230373097575 2313101423441 2460746195150 4626202846882 4921492390300 9252405693764 11565507117205 23131014234410 46262028468820 57827535586025 115655071172050 231310142344100