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10022022022020 = 22359712781134731
BaseRepresentation
bin1001000111010110111100…
…0100000000001110000100
31022111002120221112212211120
42101311233010000032010
52303200100114201040
633152015305233540
72053032022423161
oct221655704001604
938432527485746
1010022022022020
113214352181118
12115a402a928b0
135790c371b098
142690d5ba3068
15125a684717d0
hex91d6f100384

10022022022020 has 96 divisors (see below), whose sum is σ = 28353385796736. Its totient is φ = 2644760678400.

The previous prime is 10022022021971. The next prime is 10022022022027. The reversal of 10022022022020 is 2022022022001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10022022022027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 74318055 + ... + 74452785.

It is an arithmetic number, because the mean of its divisors is an integer number (295347768716).

Almost surely, 210022022022020 is an apocalyptic number.

10022022022020 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 10022022022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176692898368).

10022022022020 is an abundant number, since it is smaller than the sum of its proper divisors (18331363774716).

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

10022022022020 is a wasteful number, since it uses less digits than its factorization.

10022022022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147621 (or 147619 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10022022022020 its reverse (2022022022001), we get a palindrome (12044044044021).

The spelling of 10022022022020 in words is "ten trillion, twenty-two billion, twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 12781 25562 38343 51124 63905 76686 127810 134731 153372 191715 255620 269462 383430 404193 538924 673655 766860 808386 1239757 1347310 1616772 2020965 2479514 2694620 3719271 4041930 4959028 6198785 7438542 8083860 12397570 13068907 14877084 18596355 24795140 26137814 37192710 39206721 52275628 65344535 74385420 78413442 130689070 156826884 196033605 261378140 392067210 784134420 1721996911 3443993822 5165990733 6887987644 8609984555 10331981466 17219969110 20663962932 25829953665 34439938220 51659907330 103319814660 167033700367 334067400734 501101101101 668134801468 835168501835 1002202202202 1670337003670 2004404404404 2505505505505 3340674007340 5011011011010 10022022022020