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20201023413240 = 2335896432941651
BaseRepresentation
bin1001001011111011010101…
…10100110001101111111000
32122112012101001110222012020
410211331222310301233320
510121433143443210430
6110544115543314440
74153322122602645
oct445755264615770
978465331428166
1020201023413240
11648922a0937aa
122323115a4ba20
13b36c43649c77
144dba40222dcc
1525071d0b3b10
hex125f6ad31bf8

20201023413240 has 128 divisors (see below), whose sum is σ = 61379333971200. Its totient is φ = 5318126668800.

The previous prime is 20201023413211. The next prime is 20201023413247. The reversal of 20201023413240 is 4231432010202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20201023413240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201023413247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5396415 + ... + 8338065.

It is an arithmetic number, because the mean of its divisors is an integer number (479526046650).

Almost surely, 220201023413240 is an apocalyptic number.

20201023413240 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 20201023413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689666985600).

20201023413240 is an abundant number, since it is smaller than the sum of its proper divisors (41178310557960).

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

20201023413240 is a wasteful number, since it uses less digits than its factorization.

20201023413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942397 (or 2942393 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20201023413240 its reverse (4231432010202), we get a palindrome (24432455423442).

The spelling of 20201023413240 in words is "twenty trillion, two hundred one billion, twenty-three million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 643 712 890 1068 1286 1335 1780 1929 2136 2572 2670 3215 3560 3858 5144 5340 6430 7716 9645 10680 12860 15432 19290 25720 38580 57227 77160 114454 171681 228908 286135 343362 457816 572270 686724 858405 1144540 1373448 1716810 2289080 2941651 3433620 5883302 6867240 8824953 11766604 14708255 17649906 23533208 29416510 35299812 44124765 58833020 70599624 88249530 117666040 176499060 261806939 352998120 523613878 785420817 1047227756 1309034695 1570841634 1891481593 2094455512 2618069390 3141683268 3782963186 3927104085 5236138780 5674444779 6283366536 7565926372 7854208170 9457407965 10472277560 11348889558 15131852744 15708416340 18914815930 22697779116 28372223895 31416832680 37829631860 45395558232 56744447790 75659263720 113488895580 168341861777 226977791160 336683723554 505025585331 673367447108 841709308885 1010051170662 1346734894216 1683418617770 2020102341324 2525127926655 3366837235540 4040204682648 5050255853310 6733674471080 10100511706620 20201023413240