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10221322130 = 252321932197
BaseRepresentation
bin10011000010011110…
…01111111110010010
3222101100012222000022
421201033033332102
5131413124302010
64410130223442
7511202542655
oct114117177622
928340188008
1010221322130
114375740668
121b93124b82
13c6b7cb906
146cd6d589c
153ec529d55
hex2613cff92

10221322130 has 24 divisors (see below), whose sum is σ = 19233098892. Its totient is φ = 3910764704.

The previous prime is 10221322127. The next prime is 10221322157. The reversal of 10221322130 is 3122312201.

It can be written as a sum of positive squares in 2 ways, for example, as 8595700369 + 1625621761 = 92713^2 + 40319^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10221322099 and 10221322108.

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 11 ways as a sum of consecutive naturals, for example, 960809 + ... + 971388.

Almost surely, 210221322130 is an apocalyptic number.

10221322130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221322130 is a deficient number, since it is larger than the sum of its proper divisors (9011776762).

10221322130 is a wasteful number, since it uses less digits than its factorization.

10221322130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932250 (or 1932227 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10221322130 its reverse (3122312201), we get a palindrome (13343634331).

The spelling of 10221322130 in words is "ten billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 23 46 115 230 529 1058 2645 5290 1932197 3864394 9660985 19321970 44440531 88881062 222202655 444405310 1022132213 2044264426 5110661065 10221322130