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22013002310000 = 245413169330787
BaseRepresentation
bin1010000000101010011010…
…01011101110000101110000
32212221102101222110010210212
411000111031023232011300
510341130112042410000
6114452344511443252
74431246501235202
oct500251513560560
985842358403725
1022013002310000
117017730a20869
122576325b26528
13c38a81548360
145616138b8772
1528291e5bec35
hex14054d2ee170

22013002310000 has 100 divisors (see below), whose sum is σ = 57395347915752. Its totient is φ = 8127877728000.

The previous prime is 22013002309999. The next prime is 22013002310029. The reversal of 22013002310000 is 1320031022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×220130023100002 (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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84535394 + ... + 84795393.

Almost surely, 222013002310000 is an apocalyptic number.

22013002310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22013002310000 is an abundant number, since it is smaller than the sum of its proper divisors (35382345605752).

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

22013002310000 is a wasteful number, since it uses less digits than its factorization.

22013002310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169330828 (or 169330807 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22013002310000 its reverse (1320031022), we get a palindrome (22014322341022).

The spelling of 22013002310000 in words is "twenty-two trillion, thirteen billion, two million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 169330787 338661574 677323148 846653935 1354646296 1693307870 2201300231 2709292592 3386615740 4233269675 4402600462 6773231480 8466539350 8805200924 11006501155 13546462960 16933078700 17610401848 21166348375 22013002310 33866157400 35220803696 42332696750 44026004620 55032505775 67732314800 84665393500 88052009240 105831741875 110065011550 169330787000 176104018480 211663483750 220130023100 275162528875 338661574000 423326967500 440260046200 550325057750 846653935000 880520092400 1100650115500 1375812644375 1693307870000 2201300231000 2751625288750 4402600462000 5503250577500 11006501155000 22013002310000