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20202310040 = 23511213930029
BaseRepresentation
bin10010110100001001…
…101100100110011000
31221010221012200110012
4102310021230212120
5312333242410130
613140353341052
71313426542043
oct226411544630
957127180405
1020202310040
11862774a600
123ab9867788
131b9c590513
14d99109c5a
157d38ce995
hex4b426c998

20202310040 has 96 divisors (see below), whose sum is σ = 50324274000. Its totient is φ = 7293200640.

The previous prime is 20202309943. The next prime is 20202310057. The reversal of 20202310040 is 4001320202.

It is a junction number, because it is equal to n+sod(n) for n = 20202309997 and 20202310024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657746 + ... + 687774.

Almost surely, 220202310040 is an apocalyptic number.

20202310040 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 20202310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162137000).

20202310040 is an abundant number, since it is smaller than the sum of its proper divisors (30121963960).

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

20202310040 is a wasteful number, since it uses less digits than its factorization.

20202310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30201 (or 30186 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20202310040 its reverse (4001320202), we get a palindrome (24203630242).

The spelling of 20202310040 in words is "twenty billion, two hundred two million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 139 220 242 278 440 484 556 605 695 968 1112 1210 1390 1529 2420 2780 3058 4840 5560 6116 7645 12232 15290 16819 30029 30580 33638 60058 61160 67276 84095 120116 134552 150145 168190 240232 300290 330319 336380 600580 660638 672760 1201160 1321276 1651595 2642552 3303190 3633509 4174031 6606380 7267018 8348062 13212760 14534036 16696124 18167545 20870155 29068072 33392248 36335090 41740310 45914341 72670180 83480620 91828682 145340360 166961240 183657364 229571705 367314728 459143410 505057751 918286820 1010115502 1836573640 2020231004 2525288755 4040462008 5050577510 10101155020 20202310040