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11331330031000 = 235373743750309
BaseRepresentation
bin1010010011100100011111…
…1001101011110110011000
31111010021010212120011222001
42210321013321223312120
52441123030441443000
640033312520010344
72246442631033150
oct244710771536630
944107125504861
1011331330031000
113679654439211
1213301076009b4
13642703038b35
142b262161d760
15149b4961546a
hexa4e47e6bd98

11331330031000 has 128 divisors (see below), whose sum is σ = 31122220521600. Its totient is φ = 3780026611200.

The previous prime is 11331330030991. The next prime is 11331330031003. The reversal of 11331330031000 is 13003313311.

It is a happy number.

It is a super-2 number, since 2×113313300310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331330031003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21616155 + ... + 22134154.

It is an arithmetic number, because the mean of its divisors is an integer number (243142347825).

Almost surely, 211331330031000 is an apocalyptic number.

11331330031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331330031000 is an abundant number, since it is smaller than the sum of its proper divisors (19790890490600).

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

11331330031000 is a wasteful number, since it uses less digits than its factorization.

11331330031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43750374 (or 43750360 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 11331330031000 its reverse (13003313311), we get a palindrome (11344333344311).

The spelling of 11331330031000 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty million, thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 70 74 100 125 140 148 175 185 200 250 259 280 296 350 370 500 518 700 740 875 925 1000 1036 1295 1400 1480 1750 1850 2072 2590 3500 3700 4625 5180 6475 7000 7400 9250 10360 12950 18500 25900 32375 37000 51800 64750 129500 259000 43750309 87500618 175001236 218751545 306252163 350002472 437503090 612504326 875006180 1093757725 1225008652 1531260815 1618761433 1750012360 2187515450 2450017304 3062521630 3237522866 4375030900 5468788625 6125043260 6475045732 7656304075 8093807165 8750061800 10937577250 11331330031 12250086520 12950091464 15312608150 16187614330 21875154500 22662660062 30625216300 32375228660 38281520375 40469035825 43750309000 45325320124 56656650155 61250432600 64750457320 76563040750 80938071650 90650640248 113313300310 153126081500 161876143300 202345179125 226626600620 283283250775 306252163000 323752286600 404690358250 453253201240 566566501550 809380716500 1133133003100 1416416253875 1618761433000 2266266006200 2832832507750 5665665015500 11331330031000