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10222131221130 = 2357323931950539
BaseRepresentation
bin1001010011000000011010…
…0000000001001010001010
31100012020002220022110100110
42110300012200001022022
52314434411043034010
633423552100015150
72103344640515013
oct224600640011212
940166086273313
1010222131221130
1132911aa647214
12119114b0914b6
13591c34551bca
14274a7a58c00a
1512ad7b2b6120
hex94c0680128a

10222131221130 has 64 divisors (see below), whose sum is σ = 24879590225280. Its totient is φ = 2687435652096.

The previous prime is 10222131221083. The next prime is 10222131221177. The reversal of 10222131221130 is 3112213122201.

It is an interprime number because it is at equal distance from previous prime (10222131221083) and next prime (10222131221177).

It is a junction number, because it is equal to n+sod(n) for n = 10222131221097 and 10222131221106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4265401 + ... + 6215939.

It is an arithmetic number, because the mean of its divisors is an integer number (388743597270).

Almost surely, 210222131221130 is an apocalyptic number.

10222131221130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222131221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439795112640).

10222131221130 is an abundant number, since it is smaller than the sum of its proper divisors (14657459004150).

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

10222131221130 is a wasteful number, since it uses less digits than its factorization.

10222131221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953015.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10222131221130 its reverse (3112213122201), we get a palindrome (13334344343331).

The spelling of 10222131221130 in words is "ten trillion, two hundred twenty-two billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 2190 2393 4786 7179 11965 14358 23930 35895 71790 174689 349378 524067 873445 1048134 1746890 1950539 2620335 3901078 5240670 5851617 9752695 11703234 19505390 29258085 58516170 142389347 284778694 427168041 711946735 854336082 1423893470 2135840205 4271680410 4667639827 9335279654 14002919481 23338199135 28005838962 46676398270 70014597405 140029194810 340737707371 681475414742 1022213122113 1703688536855 2044426244226 3407377073710 5111065610565 10222131221130