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10240100221122 = 232568894456729
BaseRepresentation
bin1001010100000011010110…
…0010010100000011000010
31100020221111012011020100200
42111000311202110003002
52320233211124033442
633440123114030030
72104552141505052
oct225006542240302
940227435136320
1010240100221122
113298890685932
121194724a18316
1359383921a295
142758a2c29562
1512b57da9934c
hex950358940c2

10240100221122 has 12 divisors (see below), whose sum is σ = 22186883812470. Its totient is φ = 3413366740368.

The previous prime is 10240100221121. The next prime is 10240100221151. The reversal of 10240100221122 is 22112200104201.

It can be written as a sum of positive squares in only one way, i.e., 5879892672801 + 4360207548321 = 2424849^2 + 2088111^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 568894456729 = 10240100221122 / (1 + 0 + 2 + 4 + 0 + 1 + 0 + 0 + 2 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10240100221095 and 10240100221104.

It is not an unprimeable number, because it can be changed into a prime (10240100221121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284447228347 + ... + 284447228382.

Almost surely, 210240100221122 is an apocalyptic number.

10240100221122 is an abundant number, since it is smaller than the sum of its proper divisors (11946783591348).

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

10240100221122 is a wasteful number, since it uses less digits than its factorization.

10240100221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568894456737 (or 568894456734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10240100221122 its reverse (22112200104201), we get a palindrome (32352300325323).

The spelling of 10240100221122 in words is "ten trillion, two hundred forty billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 568894456729 1137788913458 1706683370187 3413366740374 5120050110561 10240100221122