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20314203140 = 22571114519091
BaseRepresentation
bin10010111010110100…
…100010010000000100
31221102201202102221002
4102322310202100010
5313100414000030
613155431512432
71316255610020
oct227264422004
957381672832
1020314203140
118684924540
123b2b228718
131bb980945a
14da9d15380
157dd633245
hex4bad22404

20314203140 has 96 divisors (see below), whose sum is σ = 53228786688. Its totient is φ = 6326640000.

The previous prime is 20314203137. The next prime is 20314203149. The reversal of 20314203140 is 4130241302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20314203149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229995 + ... + 2239085.

It is an arithmetic number, because the mean of its divisors is an integer number (554466528).

Almost surely, 220314203140 is an apocalyptic number.

20314203140 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 20314203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26614393344).

20314203140 is an abundant number, since it is smaller than the sum of its proper divisors (32914583548).

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

20314203140 is a wasteful number, since it uses less digits than its factorization.

20314203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10569 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20314203140 its reverse (4130241302), we get a palindrome (24444444442).

The spelling of 20314203140 in words is "twenty billion, three hundred fourteen million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1451 1540 2902 5804 7255 9091 10157 14510 15961 18182 20314 29020 31922 36364 40628 45455 50785 63637 63844 79805 90910 100001 101570 111727 127274 159610 181820 200002 203140 223454 254548 318185 319220 400004 446908 500005 558635 636370 700007 1000010 1117270 1272740 1400014 2000020 2234540 2800028 3500035 7000070 13191041 14000140 26382082 52764164 65955205 92337287 131910410 145101451 184674574 263820820 290202902 369349148 461686435 580405804 725507255 923372870 1015710157 1451014510 1846745740 2031420314 2902029020 4062840628 5078550785 10157101570 20314203140