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1021314020 = 225101505601
BaseRepresentation
bin111100111000000…
…000001111100100
32122011210010110012
4330320000033210
54042424022040
6245202145352
734211011616
oct7470001744
92564703405
101021314020
11484561381
12246052258
1313379072c
14998d8db6
155e9e1865
hex3ce003e4

1021314020 has 24 divisors (see below), whose sum is σ = 2165998968. Its totient is φ = 404480000.

The previous prime is 1021314017. The next prime is 1021314023. The reversal of 1021314020 is 204131201.

It is an interprime number because it is at equal distance from previous prime (1021314017) and next prime (1021314023).

It can be written as a sum of positive squares in 4 ways, for example, as 188183524 + 833130496 = 13718^2 + 28864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1021313986 and 1021314004.

It is not an unprimeable number, because it can be changed into a prime (1021314023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 250781 + ... + 254820.

It is an arithmetic number, because the mean of its divisors is an integer number (90249957).

Almost surely, 21021314020 is an apocalyptic number.

1021314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021314020 is an abundant number, since it is smaller than the sum of its proper divisors (1144684948).

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

1021314020 is a wasteful number, since it uses less digits than its factorization.

1021314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505711 (or 505709 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1021314020 is about 31958.0040052566. The cubic root of 1021314020 is about 1007.0547862849.

Adding to 1021314020 its reverse (204131201), we get a palindrome (1225445221).

The spelling of 1021314020 in words is "one billion, twenty-one million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 505601 1011202 2022404 2528005 5056010 10112020 51065701 102131402 204262804 255328505 510657010 1021314020