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2100133314 = 232791476887
BaseRepresentation
bin111110100101101…
…0111110111000010
312102100202211022100
41331023113313002
513300113231224
6544221051230
7103020560436
oct17513276702
95370684270
102100133314
1198851a274
124a73b6b16
13276136746
1415ccc29c6
15c4591ac9
hex7d2d7dc2

2100133314 has 24 divisors (see below), whose sum is σ = 4607890560. Its totient is φ = 691182648.

The previous prime is 2100133307. The next prime is 2100133319. The reversal of 2100133314 is 4133310012.

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

It is not an unprimeable number, because it can be changed into a prime (2100133319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737022 + ... + 739865.

It is an arithmetic number, because the mean of its divisors is an integer number (191995440).

Almost surely, 22100133314 is an apocalyptic number.

2100133314 is an abundant number, since it is smaller than the sum of its proper divisors (2507757246).

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

2100133314 is a wasteful number, since it uses less digits than its factorization.

2100133314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476974 (or 1476971 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2100133314 is about 45827.2115014649. The cubic root of 2100133314 is about 1280.6062626888.

Adding to 2100133314 its reverse (4133310012), we get a palindrome (6233443326).

The spelling of 2100133314 in words is "two billion, one hundred million, one hundred thirty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 1476887 2953774 4430661 8861322 13291983 26583966 116674073 233348146 350022219 700044438 1050066657 2100133314