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10221101008 = 242321207597
BaseRepresentation
bin10011000010011100…
…11001111111010000
3222101022210201200121
421201032121333100
5131413100213013
64410121400024
7511200632206
oct114116317720
928338721617
1010221101008
1143755aa518
121b93039014
13c6b752081
146cd679076
153ec4d458d
hex261399fd0

10221101008 has 30 divisors (see below), whose sum is σ = 20701852514. Its totient is φ = 4888348608.

The previous prime is 10221100993. The next prime is 10221101081. The reversal of 10221101008 is 80010112201.

10221101008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7383621184 + 2837479824 = 85928^2 + 53268^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10221100982 and 10221101000.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 595335 + ... + 612262.

Almost surely, 210221101008 is an apocalyptic number.

It is an amenable number.

10221101008 is an abundant number, since it is smaller than the sum of its proper divisors (10480751506).

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

10221101008 is a wasteful number, since it uses less digits than its factorization.

10221101008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207651 (or 1207622 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221101008 its reverse (80010112201), we get a palindrome (90231213209).

The spelling of 10221101008 in words is "ten billion, two hundred twenty-one million, one hundred one thousand, eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 1207597 2415194 4830388 9660776 19321552 27774731 55549462 111098924 222197848 444395696 638818813 1277637626 2555275252 5110550504 10221101008