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10010222320 = 245729616393
BaseRepresentation
bin10010101001010011…
…11101111011110000
3221211121222222111211
421110221331323300
5131000104103240
64333145445504
7503030325430
oct112451757360
927747888454
1010010222320
11427756720a
121b344a0894
13c36b59297
146ad6642c0
153d8c2bbea
hex254a7def0

10010222320 has 80 divisors (see below), whose sum is σ = 27515828160. Its totient is φ = 3313723392.

The previous prime is 10010222279. The next prime is 10010222359. The reversal of 10010222320 is 2322201001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10010222320.

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 15 ways as a sum of consecutive naturals, for example, 291957 + ... + 324436.

It is an arithmetic number, because the mean of its divisors is an integer number (343947852).

Almost surely, 210010222320 is an apocalyptic number.

10010222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010222320 is an abundant number, since it is smaller than the sum of its proper divisors (17505605840).

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

10010222320 is a wasteful number, since it uses less digits than its factorization.

10010222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616442 (or 616436 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10010222320 its reverse (2322201001), we get a palindrome (12332423321).

The spelling of 10010222320 in words is "ten billion, ten million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 616393 1232786 2465572 3081965 4314751 4931144 6163930 8629502 9862288 12327860 17259004 17875397 21573755 24655720 34518008 35750794 43147510 49311440 69036016 71501588 86295020 89376985 125127779 143003176 172590040 178753970 250255558 286006352 345180080 357507940 500511116 625638895 715015880 1001022232 1251277790 1430031760 2002044464 2502555580 5005111160 10010222320