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20030023314 = 2327241553897
BaseRepresentation
bin10010101001111000…
…011110011010010010
31220200221000121111100
4102221320132122102
5312010141221224
613111320525230
71306235250300
oct225170363222
956627017440
1020030023314
118549475a84
123a70020816
131b7298a402
14d8029d270
157c36ebac9
hex4a9e1e692

20030023314 has 72 divisors (see below), whose sum is σ = 51715240668. Its totient is φ = 5583271680.

The previous prime is 20030023309. The next prime is 20030023319. The reversal of 20030023314 is 41332003002.

It is an interprime number because it is at equal distance from previous prime (20030023309) and next prime (20030023319).

It can be written as a sum of positive squares in 2 ways, for example, as 19885230225 + 144793089 = 141015^2 + 12033^2 .

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 (20030023319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240787 + ... + 313110.

Almost surely, 220030023314 is an apocalyptic number.

20030023314 is an abundant number, since it is smaller than the sum of its proper divisors (31685217354).

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

20030023314 is a wasteful number, since it uses less digits than its factorization.

20030023314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553960 (or 553950 counting only the distinct ones).

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

Adding to 20030023314 its reverse (41332003002), we get a palindrome (61362026316).

The spelling of 20030023314 in words is "twenty billion, thirty million, twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 2009 2583 4018 5166 6027 12054 18081 36162 553897 1107794 1661691 3323382 3877279 4985073 7754558 9970146 11631837 22709777 23263674 27140953 34895511 45419554 54281906 68129331 69791022 81422859 136258662 158968439 162845718 204387993 244268577 317936878 408775986 476905317 488537154 953810634 1112779073 1430715951 2225558146 2861431902 3338337219 6676674438 10015011657 20030023314