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10002022000020 = 2233523805315781
BaseRepresentation
bin1001000110001100011011…
…1101111110010110010100
31022102011222002222111102000
42101203012331332112110
52302333120113000040
633134510535315300
72051423300145141
oct221430675762624
938364862874360
1010002022000020
113206919737616
121156560b1bb30
1357725703643b
142681598b33c8
151252976ee130
hex918c6f7e594

10002022000020 has 96 divisors (see below), whose sum is σ = 32470332330240. Its totient is φ = 2551240391040.

The previous prime is 10002021999973. The next prime is 10002022000079. The reversal of 10002022000020 is 2000022020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002021999966 and 10002022000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402645471 + ... + 402670310.

It is an arithmetic number, because the mean of its divisors is an integer number (338232628440).

Almost surely, 210002022000020 is an apocalyptic number.

10002022000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002022000020 is an abundant number, since it is smaller than the sum of its proper divisors (22468310330220).

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

10002022000020 is a wasteful number, since it uses less digits than its factorization.

10002022000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805315822 (or 805315814 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10002022000020 its reverse (2000022020001), we get a palindrome (12002044020021).

The spelling of 10002022000020 in words is "ten trillion, two billion, twenty-two million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 805315781 1610631562 2415947343 3221263124 4026578905 4831894686 7247842029 8053157810 9663789372 12079736715 14495684058 16106315620 18522262963 21743526087 24159473430 28991368116 36239210145 37044525926 43487052174 48318946860 55566788889 72478420290 74089051852 86974104348 92611314815 108717630435 111133577778 144956840580 166700366667 185222629630 217435260870 222267155556 277833944445 333400733334 370445259260 434870521740 500101100001 555667888890 666801466668 833501833335 1000202200002 1111335777780 1667003666670 2000404400004 2500505500005 3334007333340 5001011000010 10002022000020