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2100010020 = 2235157222931
BaseRepresentation
bin111110100101011…
…1001110000100100
312102100112120011220
41331022321300210
513300100310040
6544214300340
7103016535123
oct17512716044
95370476156
102100010020
11988445679
124a73576b0
132760c25a4
1415cc8daba
15c456a2d0
hex7d2b9c24

2100010020 has 48 divisors (see below), whose sum is σ = 5917507008. Its totient is φ = 556433280.

The previous prime is 2100009943. The next prime is 2100010021. The reversal of 2100010020 is 200100012.

It is a happy number.

2100010020 is digitally balanced in base 4, 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 (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 = 2100009990 and 2100010008.

It is not an unprimeable number, because it can be changed into a prime (2100010021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102046 + ... + 120885.

It is an arithmetic number, because the mean of its divisors is an integer number (123281396).

Almost surely, 22100010020 is an apocalyptic number.

2100010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100010020 is an abundant number, since it is smaller than the sum of its proper divisors (3817496988).

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

2100010020 is a wasteful number, since it uses less digits than its factorization.

2100010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223100 (or 223098 counting only the distinct ones).

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

The square root of 2100010020 is about 45825.8662765910. The cubic root of 2100010020 is about 1280.5812017149.

Adding to 2100010020 its reverse (200100012), we get a palindrome (2300110032).

The spelling of 2100010020 in words is "two billion, one hundred million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 222931 445862 668793 891724 1114655 1337586 2229310 2675172 3343965 4458620 6687930 13375860 35000167 70000334 105000501 140000668 175000835 210001002 350001670 420002004 525002505 700003340 1050005010 2100010020