Search a number
-
+
2100313333 = 192331197787
BaseRepresentation
bin111110100110000…
…0011110011110101
312102101002222020201
41331030003303311
513300140011313
6544225000501
7103022240326
oct17514036365
95371088221
102100313333
11988632548
124a7483131
1327619a671
1415cd2c44d
15c45ca0dd
hex7d303cf5

2100313333 has 32 divisors (see below), whose sum is σ = 2396528640. Its totient is φ = 1830185280.

The previous prime is 2100313279. The next prime is 2100313337. The reversal of 2100313333 is 3333130012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2100313333 is a prime.

It is a super-2 number, since 2×21003133332 = 8822632193555137778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2100313333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100313337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2668366 + ... + 2669152.

It is an arithmetic number, because the mean of its divisors is an integer number (74891520).

Almost surely, 22100313333 is an apocalyptic number.

2100313333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2100313333 is a deficient number, since it is larger than the sum of its proper divisors (296215307).

2100313333 is a wasteful number, since it uses less digits than its factorization.

2100313333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057.

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 2100313333 is about 45829.1755653536. The cubic root of 2100313333 is about 1280.6428519330.

Adding to 2100313333 its reverse (3333130012), we get a palindrome (5433443345).

The spelling of 2100313333 in words is "two billion, one hundred million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 19 23 31 197 437 589 713 787 3743 4531 6107 13547 14953 18101 24397 86089 116033 140461 155039 343919 463543 561131 2668759 2945741 3565897 4806209 10661489 67752043 91317971 110542807 2100313333