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1010012020 = 225293172357
BaseRepresentation
bin111100001100111…
…000111101110100
32121101111221000121
4330030320331310
54032030341040
6244120021324
734012650313
oct7414707564
92541457017
101010012020
11479141a86
12242301844
13131334364
14981d627a
155da0cc4a
hex3c338f74

1010012020 has 24 divisors (see below), whose sum is σ = 2128276584. Its totient is φ = 402623616.

The previous prime is 1010011987. The next prime is 1010012021. The reversal of 1010012020 is 202100101.

It can be written as a sum of positive squares in 4 ways, for example, as 634737636 + 375274384 = 25194^2 + 19372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010011994 and 1010012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80319 + ... + 92038.

It is an arithmetic number, because the mean of its divisors is an integer number (88678191).

Almost surely, 21010012020 is an apocalyptic number.

1010012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010012020 is an abundant number, since it is smaller than the sum of its proper divisors (1118264564).

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

1010012020 is a wasteful number, since it uses less digits than its factorization.

1010012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172659 (or 172657 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1010012020 is about 31780.6862732698. The cubic root of 1010012020 is about 1003.3262637025.

Adding to 1010012020 its reverse (202100101), we get a palindrome (1212112121).

The spelling of 1010012020 in words is "one billion, ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 172357 344714 689428 861785 1723570 3447140 50500601 101001202 202002404 252503005 505006010 1010012020