Search a number
-
+
2100334302 = 2321133731477
BaseRepresentation
bin111110100110000…
…1000111011011110
312102101011001000100
41331030020323132
513300141144202
6544225241530
7103022355423
oct17514107336
95371131010
102100334302
11988647280
124a74932a6
132761a7081
1415cd35d4a
15c45d141c
hex7d308ede

2100334302 has 48 divisors (see below), whose sum is σ = 4979315952. Its totient is φ = 634556160.

The previous prime is 2100334253. The next prime is 2100334321. The reversal of 2100334302 is 2034330012.

It is a super-2 number, since 2×21003343022 = 8822808360315654408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 50988 + ... + 82464.

It is an arithmetic number, because the mean of its divisors is an integer number (103735749).

Almost surely, 22100334302 is an apocalyptic number.

2100334302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100334302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489657976).

2100334302 is an abundant number, since it is smaller than the sum of its proper divisors (2878981650).

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

2100334302 is a wasteful number, since it uses less digits than its factorization.

2100334302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31833 (or 31830 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2100334302 is about 45829.4043382630. The cubic root of 2100334302 is about 1280.6471137909.

Adding to 2100334302 its reverse (2034330012), we get a palindrome (4134664314).

The spelling of 2100334302 in words is "two billion, one hundred million, three hundred thirty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 337 674 1011 2022 3033 3707 6066 7414 11121 22242 31477 33363 62954 66726 94431 188862 283293 346247 566586 692494 1038741 2077482 3116223 6232446 10607749 21215498 31823247 63646494 95469741 116685239 190939482 233370478 350055717 700111434 1050167151 2100334302