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1022121040 = 24512776513
BaseRepresentation
bin111100111011000…
…101010001010000
32122020022010110211
4330323011101100
54043130333130
6245231333504
734220612503
oct7473052120
92566263424
101022121040
11484a62736
12246381294
131339b3b65
1499a6913a
155eb00a2a
hex3cec5450

1022121040 has 20 divisors (see below), whose sum is σ = 2376431604. Its totient is φ = 408848384.

The previous prime is 1022121011. The next prime is 1022121043. The reversal of 1022121040 is 401212201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 102333456 + 919787584 = 10116^2 + 30328^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 1022121040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022121043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6388177 + ... + 6388336.

Almost surely, 21022121040 is an apocalyptic number.

1022121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022121040 is an abundant number, since it is smaller than the sum of its proper divisors (1354310564).

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

1022121040 is a wasteful number, since it uses less digits than its factorization.

1022121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12776526 (or 12776520 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1022121040 is about 31970.6277698765. The cubic root of 1022121040 is about 1007.3199673389.

Adding to 1022121040 its reverse (401212201), we get a palindrome (1423333241).

It can be divided in two parts, 10221210 and 40, that multiplied together give a square (408848400 = 202202).

The spelling of 1022121040 in words is "one billion, twenty-two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12776513 25553026 51106052 63882565 102212104 127765130 204424208 255530260 511060520 1022121040