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11312010313000 = 235334999132707
BaseRepresentation
bin1010010010011100100001…
…0110110011110100101000
31111001102021110002211011221
42210213020112303310220
52440313444120004000
640020355451231424
72245160106114535
oct244471026636450
944042243084157
1011312010313000
11367143aa11121
121328415448574
13640944588637
142b170b81bd8c
151493b847461a
hexa49c85b3d28

11312010313000 has 128 divisors (see below), whose sum is σ = 26573549184000. Its totient is φ = 4507148448000.

The previous prime is 11312010312917. The next prime is 11312010313013. The reversal of 11312010313000 is 31301021311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345842647 + ... + 345875353.

It is an arithmetic number, because the mean of its divisors is an integer number (207605853000).

Almost surely, 211312010313000 is an apocalyptic number.

11312010313000 is a gapful number since it is divisible by the number (10) 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 11312010313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13286774592000).

11312010313000 is an abundant number, since it is smaller than the sum of its proper divisors (15261538871000).

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

11312010313000 is a wasteful number, since it uses less digits than its factorization.

11312010313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34068 (or 34054 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11312010313000 its reverse (31301021311), we get a palindrome (11343311334311).

The spelling of 11312010313000 in words is "eleven trillion, three hundred twelve billion, ten million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 500 698 991 1000 1396 1745 1982 2792 3490 3964 4955 6980 7928 8725 9910 13960 17450 19820 24775 32707 34900 39640 43625 49550 65414 69800 87250 99100 123875 130828 163535 174500 198200 247750 261656 327070 345859 349000 495500 654140 691718 817675 991000 1308280 1383436 1635350 1729295 2766872 3270700 3458590 4088375 6541400 6917180 8176750 8646475 11414743 13834360 16353500 17292950 22829486 32412637 32707000 34585900 43232375 45658972 57073715 64825274 69171800 86464750 91317944 114147430 129650548 162063185 172929500 228294860 259301096 285368575 324126370 345859000 456589720 570737150 648252740 810315925 1141474300 1296505480 1426842875 1620631850 2282948600 2853685750 3241263700 4051579625 5707371500 6482527400 8103159250 11312010313 11414743000 16206318500 22624020626 32412637000 45248041252 56560051565 90496082504 113120103130 226240206260 282800257825 452480412520 565600515650 1131201031300 1414001289125 2262402062600 2828002578250 5656005156500 11312010313000