Search a number
-
+
31120133311200 = 2535223563770531
BaseRepresentation
bin1110001001101101110000…
…11111011100101011100000
311002012001111121010201001110
413010312320133130223200
513034333013111424300
6150104220351303320
76361232625422103
oct704667037345340
9132161447121043
1031120133311200
119a08a79a5480a
1235a735981ab40
1314498013c9acb
1479831871c73a
1538e78d07a550
hex1c4db87dcae0

31120133311200 has 144 divisors (see below), whose sum is σ = 105700209503616. Its totient is φ = 7937889062400.

The previous prime is 31120133311151. The next prime is 31120133311259. The reversal of 31120133311200 is 211333102113.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281830066 + ... + 281940465.

It is an arithmetic number, because the mean of its divisors is an integer number (734029232664).

Almost surely, 231120133311200 is an apocalyptic number.

31120133311200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31120133311200 is an abundant number, since it is smaller than the sum of its proper divisors (74580076192416).

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

31120133311200 is a wasteful number, since it uses less digits than its factorization.

31120133311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563770577 (or 563770564 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31120133311200 its reverse (211333102113), we get a palindrome (31331466413313).

The spelling of 31120133311200 in words is "thirty-one trillion, one hundred twenty billion, one hundred thirty-three million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 563770531 1127541062 1691311593 2255082124 2818852655 3382623186 4510164248 5637705310 6765246372 8456557965 9020328496 11275410620 12966722213 13530492744 14094263275 16913115930 18040656992 22550821240 25933444426 27060985488 28188526550 33826231860 38900166639 42282789825 45101642480 51866888852 54121970976 56377053100 64833611065 67652463720 77800333278 84565579650 90203284960 103733777704 112754106200 129667222130 135304927440 155600666556 169131159300 194500833195 207467555408 225508212400 259334444260 270609854880 311201333112 324168055325 338262318600 389001666390 414935110816 451016424800 518668888520 622402666224 648336110650 676524637200 778003332780 972504165975 1037337777040 1244805332448 1296672221300 1353049274400 1556006665560 1945008331950 2074675554080 2593344442600 3112013331120 3890016663900 5186688885200 6224026662240 7780033327800 10373377770400 15560066655600 31120133311200