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2101433100 = 2235213538829
BaseRepresentation
bin111110101000001…
…0101001100001100
312102110012212021120
41331100111030030
513300431324400
6544305000540
7103034613054
oct17520251414
95373185246
102101433100
11989227878
124a7923150
132764a0250
1415d140564
15c474bca0
hex7d41530c

2101433100 has 72 divisors (see below), whose sum is σ = 6547862160. Its totient is φ = 517274880.

The previous prime is 2101433099. The next prime is 2101433129. The reversal of 2101433100 is 13341012.

It is a super-2 number, since 2×21014331002 = 8832042147551220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101433100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265515 + ... + 273314.

It is an arithmetic number, because the mean of its divisors is an integer number (90942530).

Almost surely, 22101433100 is an apocalyptic number.

2101433100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101433100 is an abundant number, since it is smaller than the sum of its proper divisors (4446429060).

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

2101433100 is a wasteful number, since it uses less digits than its factorization.

2101433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538859 (or 538852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2101433100 is about 45841.3906857111. The cubic root of 2101433100 is about 1280.8704000186.

Adding to 2101433100 its reverse (13341012), we get a palindrome (2114774112).

The spelling of 2101433100 in words is "two billion, one hundred one million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 538829 1077658 1616487 2155316 2694145 3232974 5388290 6465948 7004777 8082435 10776580 13470725 14009554 16164870 21014331 26941450 28019108 32329740 35023885 40412175 42028662 53882900 70047770 80824350 84057324 105071655 140095540 161648700 175119425 210143310 350238850 420286620 525358275 700477700 1050716550 2101433100