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1010020000 = 2554114591
BaseRepresentation
bin111100001100111…
…010111010100000
32121101112022222011
4330030322322200
54032031120000
6244120122304
734013012503
oct7414727240
92541468864
101010020000
11479147a80
12242306394
13131337b92
14981d913a
155da102ba
hex3c33aea0

1010020000 has 120 divisors (see below), whose sum is σ = 2711282112. Its totient is φ = 367200000.

The previous prime is 1010019979. The next prime is 1010020003. The reversal of 1010020000 is 200101.

1010020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (1010020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217705 + ... + 222295.

Almost surely, 21010020000 is an apocalyptic number.

1010020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355641056).

1010020000 is an abundant number, since it is smaller than the sum of its proper divisors (1701262112).

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

1010020000 is an equidigital number, since it uses as much as digits as its factorization.

1010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1010020000 is about 31780.8118209715. The cubic root of 1010020000 is about 1003.3289060877.

Adding to 1010020000 its reverse (200101), we get a palindrome (1010220101).

The spelling of 1010020000 in words is "one billion, ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 4591 5000 5500 6875 8800 9182 10000 11000 13750 18364 20000 22000 22955 27500 36728 44000 45910 50501 55000 73456 91820 101002 110000 114775 146912 183640 202004 220000 229550 252505 367280 404008 459100 505010 573875 734560 808016 918200 1010020 1147750 1262525 1616032 1836400 2020040 2295500 2525050 2869375 3672800 4040080 4591000 5050100 5738750 6312625 8080160 9182000 10100200 11477500 12625250 18364000 20200400 22955000 25250500 31563125 40400800 45910000 50501000 63126250 91820000 101002000 126252500 202004000 252505000 505010000 1010020000