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10221370032 = 2432113313049
BaseRepresentation
bin10011000010011110…
…11011101010110000
3222101100022101201110
421201033123222300
5131413132320112
64410131233320
7511203132426
oct114117335260
928340271643
1010221370032
114375773655
121b93148840
13c6b817663
146cd709116
153ec53913c
hex2613dbab0

10221370032 has 80 divisors (see below), whose sum is σ = 26619228800. Its totient is φ = 3379622400.

The previous prime is 10221370031. The next prime is 10221370057. The reversal of 10221370032 is 23007312201.

10221370032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10221369990 and 10221370008.

It is not an unprimeable number, because it can be changed into a prime (10221370031) 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 15 ways as a sum of consecutive naturals, for example, 3350844 + ... + 3353892.

It is an arithmetic number, because the mean of its divisors is an integer number (332740360).

Almost surely, 210221370032 is an apocalyptic number.

10221370032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221370032 is an abundant number, since it is smaller than the sum of its proper divisors (16397858768).

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

10221370032 is a wasteful number, since it uses less digits than its factorization.

10221370032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 10221370032 its reverse (23007312201), we get a palindrome (33228682233).

The spelling of 10221370032 in words is "ten billion, two hundred twenty-one million, three hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 211 331 422 633 662 844 993 1266 1324 1688 1986 2532 2648 3049 3376 3972 5064 5296 6098 7944 9147 10128 12196 15888 18294 24392 36588 48784 69841 73176 139682 146352 209523 279364 419046 558728 643339 838092 1009219 1117456 1286678 1676184 1930017 2018438 2573356 3027657 3352368 3860034 4036876 5146712 6055314 7720068 8073752 10293424 12110628 15440136 16147504 24221256 30880272 48442512 212945209 425890418 638835627 851780836 1277671254 1703561672 2555342508 3407123344 5110685016 10221370032