Search a number
-
+
1022022210112 = 2617939358649
BaseRepresentation
bin11101101111101010100…
…01010101001001000000
310121201000111002121111121
432313311101111021000
5113221100141210422
62101302134522024
7133560443310151
oct16676521251100
93551014077447
101022022210112
11364489991342
121460a9206314
13754b78c5bb7
1437675129928
151b8b9cd08c7
hexedf5455240

1022022210112 has 28 divisors (see below), whose sum is σ = 2147373873900. Its totient is φ = 480951627776.

The previous prime is 1022022210089. The next prime is 1022022210113. The reversal of 1022022210112 is 2110122202201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 913217229376 + 108804980736 = 955624^2 + 329856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1022022210113) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 469678237 + ... + 469680412.

Almost surely, 21022022210112 is an apocalyptic number.

It is an amenable number.

1022022210112 is an abundant number, since it is smaller than the sum of its proper divisors (1125351663788).

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

1022022210112 is an equidigital number, since it uses as much as digits as its factorization.

1022022210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939358678 (or 939358668 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022022210112 its reverse (2110122202201), we get a palindrome (3132144412313).

The spelling of 1022022210112 in words is "one trillion, twenty-two billion, twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 939358649 1878717298 3757434596 7514869192 15029738384 15969097033 30059476768 31938194066 60118953536 63876388132 127752776264 255505552528 511011105056 1022022210112