Search a number
-
+
1010020020 = 223533150857
BaseRepresentation
bin111100001100111…
…010111010110100
32121101112022222220
4330030322322310
54032031120040
6244120122340
734013012532
oct7414727264
92541468886
101010020020
11479147a99
122423063b0
13131337ba9
14981d9152
155da102d0
hex3c33aeb4

1010020020 has 48 divisors (see below), whose sum is σ = 2836655808. Its totient is φ = 268519680.

The previous prime is 1010020019. The next prime is 1010020027. The reversal of 1010020020 is 200200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1010019990 and 1010020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020027) 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 15 ways as a sum of consecutive naturals, for example, 5569 + ... + 45288.

It is an arithmetic number, because the mean of its divisors is an integer number (59096996).

Almost surely, 21010020020 is an apocalyptic number.

1010020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010020020 is an abundant number, since it is smaller than the sum of its proper divisors (1826635788).

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

1010020020 is a wasteful number, since it uses less digits than its factorization.

1010020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51200 (or 51198 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1010020020 is about 31780.8121356267. The cubic root of 1010020020 is about 1003.3289127102.

Adding to 1010020020 its reverse (200200101), we get a palindrome (1210220121).

The spelling of 1010020020 in words is "one billion, ten million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 662 993 1324 1655 1986 3310 3972 4965 6620 9930 19860 50857 101714 152571 203428 254285 305142 508570 610284 762855 1017140 1525710 3051420 16833667 33667334 50501001 67334668 84168335 101002002 168336670 202004004 252505005 336673340 505010010 1010020020