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10314200430 = 23256711315137
BaseRepresentation
bin10011001101100011…
…00011010101101110
3222121210222200002100
421212301203111232
5132110413403210
64423245035530
7513411154122
oct114661432556
928553880070
1010314200430
114413108496
121bba255ba6
13c84b1a9a1
146dbb91582
154057745c0
hex266c6356e

10314200430 has 96 divisors (see below), whose sum is σ = 27459847584. Its totient is φ = 2685247488.

The previous prime is 10314200423. The next prime is 10314200437. The reversal of 10314200430 is 3400241301.

10314200430 is a `hidden beast` number, since 1 + 0 + 31 + 4 + 200 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (10314200423) and next prime (10314200437).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314200437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673822 + ... + 688958.

It is an arithmetic number, because the mean of its divisors is an integer number (286040079).

Almost surely, 210314200430 is an apocalyptic number.

10314200430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314200430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729923792).

10314200430 is an abundant number, since it is smaller than the sum of its proper divisors (17145647154).

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

10314200430 is a wasteful number, since it uses less digits than its factorization.

10314200430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15330 (or 15327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10314200430 its reverse (3400241301), we get a palindrome (13714441731).

The spelling of 10314200430 in words is "ten billion, three hundred fourteen million, two hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 113 134 201 226 335 339 402 565 603 670 678 1005 1017 1130 1206 1695 2010 2034 3015 3390 5085 6030 7571 10170 15137 15142 22713 30274 37855 45411 45426 68139 75685 75710 90822 113565 136233 136278 151370 227055 227130 272466 340695 454110 681165 681390 1014179 1362330 1710481 2028358 3042537 3420962 5070895 5131443 6085074 8552405 9127611 10141790 10262886 15212685 15394329 17104810 18255222 25657215 30425370 30788658 45638055 51314430 76971645 91276110 114602227 153943290 229204454 343806681 573011135 687613362 1031420043 1146022270 1719033405 2062840086 3438066810 5157100215 10314200430