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20314232420 = 22531283115777
BaseRepresentation
bin10010111010110100…
…101001011001100100
31221102201210221002112
4102322310221121210
5313100420414140
613155432300152
71316256061256
oct227264513144
957381727075
1020314232420
118684944539
123b2b241658
131bb9819891
14da9d21cd6
157dd63bc65
hex4bad29664

20314232420 has 48 divisors (see below), whose sum is σ = 44191999488. Its totient is φ = 7835719680.

The previous prime is 20314232369. The next prime is 20314232483. The reversal of 20314232420 is 2423241302.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 117572 + ... + 233348.

It is an arithmetic number, because the mean of its divisors is an integer number (920666656).

Almost surely, 220314232420 is an apocalyptic number.

20314232420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22095999744).

20314232420 is an abundant number, since it is smaller than the sum of its proper divisors (23877767068).

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

20314232420 is a wasteful number, since it uses less digits than its factorization.

20314232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116100 (or 116098 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20314232420 its reverse (2423241302), we get a palindrome (22737473722).

The spelling of 20314232420 in words is "twenty billion, three hundred fourteen million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 283 310 566 620 1132 1415 2830 5660 8773 17546 35092 43865 87730 115777 175460 231554 463108 578885 1157770 2315540 3589087 7178174 14356348 17945435 32764891 35890870 65529782 71781740 131059564 163824455 327648910 655297820 1015711621 2031423242 4062846484 5078558105 10157116210 20314232420