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11032313111310 = 23519371201435559
BaseRepresentation
bin1010000010001010100100…
…0110101010001100001110
31110001200022212110210212210
42200202221012222030032
52421223134124030220
635244101421411250
72216026001122041
oct240425106521416
943050285423783
1011032313111310
113573861159787
1212a2177409b26
1362045baa206a
142a1d76ca2c58
15141e983e46e0
hexa08a91aa30e

11032313111310 has 128 divisors (see below), whose sum is σ = 28648279526400. Its totient is φ = 2709519206400.

The previous prime is 11032313111297. The next prime is 11032313111371. The reversal of 11032313111310 is 1311131323011.

It is a super-2 number, since 2×110323131113102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25111311 + ... + 25546869.

It is an arithmetic number, because the mean of its divisors is an integer number (223814683800).

Almost surely, 211032313111310 is an apocalyptic number.

11032313111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032313111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324139763200).

11032313111310 is an abundant number, since it is smaller than the sum of its proper divisors (17615966415090).

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

11032313111310 is a wasteful number, since it uses less digits than its factorization.

11032313111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436826.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 11032313111310 its reverse (1311131323011), we get a palindrome (12343444434321).

The spelling of 11032313111310 in words is "eleven trillion, thirty-two billion, three hundred thirteen million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1201 1406 2109 2402 3515 3603 4218 6005 7030 7206 10545 12010 18015 21090 22819 36030 44437 45638 68457 88874 114095 133311 136914 222185 228190 266622 342285 435559 444370 666555 684570 844303 871118 1306677 1333110 1688606 2177795 2532909 2613354 4221515 4355590 5065818 6533385 8275621 8443030 12664545 13066770 16115683 16551242 24826863 25329090 32231366 41378105 48347049 49653726 80578415 82756210 96694098 124134315 161156830 241735245 248268630 306197977 483470490 523106359 612395954 918593931 1046212718 1530989885 1569319077 1837187862 2615531795 3061979770 3138638154 4592969655 5231063590 7846595385 9185939310 9939020821 15693190770 19354935283 19878041642 29817062463 38709870566 49695104105 58064805849 59634124926 96774676415 99390208210 116129611698 149085312315 193549352830 290324029245 298170624630 367743770377 580648058490 735487540754 1103231311131 1838718851885 2206462622262 3677437703770 5516156555655 11032313111310