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2100214020 = 2235191842293
BaseRepresentation
bin111110100101110…
…1011100100000100
312102100220221000110
41331023223210010
513300123322040
6544222513020
7103021344642
oct17513534404
95370827013
102100214020
11988574973
124a7435770
132761643b8
1415cd04192
15c45aa980
hex7d2eb904

2100214020 has 48 divisors (see below), whose sum is σ = 6190107840. Its totient is φ = 530580096.

The previous prime is 2100214013. The next prime is 2100214043. The reversal of 2100214020 is 204120012.

2100214020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 2100213987 and 2100214005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920007 + ... + 922286.

It is an arithmetic number, because the mean of its divisors is an integer number (128960580).

Almost surely, 22100214020 is an apocalyptic number.

2100214020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100214020 is an abundant number, since it is smaller than the sum of its proper divisors (4089893820).

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

2100214020 is a wasteful number, since it uses less digits than its factorization.

2100214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842324 (or 1842322 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2100214020 is about 45828.0920397086. The cubic root of 2100214020 is about 1280.6226666133.

Adding to 2100214020 its reverse (204120012), we get a palindrome (2304334032).

The spelling of 2100214020 in words is "two billion, one hundred million, two hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1842293 3684586 5526879 7369172 9211465 11053758 18422930 22107516 27634395 35003567 36845860 55268790 70007134 105010701 110537580 140014268 175017835 210021402 350035670 420042804 525053505 700071340 1050107010 2100214020