Search a number
-
+
31103130223100 = 225213232531410999
BaseRepresentation
bin1110001001001110000110…
…00001110100000111111100
311002010102121121211100001202
413010213003001310013330
513034043202314114400
6150052325240155032
76360061363516505
oct704470301640774
9132112547740052
1031103130223100
119a01844176a91
1235a3bb3468a78
131448021894c30
14797584477bac
1538e0e54934d5
hex1c49c30741fc

31103130223100 has 144 divisors (see below), whose sum is σ = 75876018624000. Its totient is φ = 10980551366400.

The previous prime is 31103130223091. The next prime is 31103130223129. The reversal of 31103130223100 is 132203130113.

It is a super-2 number, since 2×311031302231002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 75471401 + ... + 75882399.

It is an arithmetic number, because the mean of its divisors is an integer number (526916796000).

Almost surely, 231103130223100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31103130223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37938009312000).

31103130223100 is an abundant number, since it is smaller than the sum of its proper divisors (44772888400900).

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

31103130223100 is a wasteful number, since it uses less digits than its factorization.

31103130223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413580 (or 413573 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31103130223100 its reverse (132203130113), we get a palindrome (31235333353213).

The spelling of 31103130223100 in words is "thirty-one trillion, one hundred three billion, one hundred thirty million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2531 2990 5062 5980 7475 10124 12655 14950 25310 29900 32903 50620 58213 63275 65806 116426 126550 131612 164515 232852 253100 291065 329030 410999 582130 658060 756769 821998 822575 1164260 1455325 1513538 1643996 1645150 2054995 2910650 3027076 3290300 3783845 4109990 5342987 5821300 7567690 8219980 9452977 10274975 10685974 15135380 18905954 18919225 20549950 21371948 26714935 37811908 37838450 41099900 47264885 53429870 75676900 94529770 106859740 122888701 133574675 189059540 236324425 245777402 267149350 472648850 491554804 534298700 614443505 945297700 1040238469 1228887010 2080476938 2457774020 3072217525 4160953876 5201192345 6144435050 10402384690 12288870100 13523100097 20804769380 23925484787 26005961725 27046200194 47850969574 52011923450 54092400388 67615500485 95701939148 104023846900 119627423935 135231000970 239254847870 270462001940 311031302231 338077502425 478509695740 598137119675 622062604462 676155004850 1196274239350 1244125208924 1352310009700 1555156511155 2392548478700 3110313022310 6220626044620 7775782555775 15551565111550 31103130223100