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20324122032340 = 2257273284094521
BaseRepresentation
bin1001001111100000101000…
…00100101111100011010100
32122221222010000020202000001
410213300110010233203110
510130442300220013330
6111120434530101044
74165240455602200
oct447602404574324
978858100222001
1020324122032340
116526459047255
122342b4b41a784
13b45730797959
1450399acc3b00
15253a250dd9ca
hex127c1412f8d4

20324122032340 has 72 divisors (see below), whose sum is σ = 50329049139432. Its totient is φ = 6872814627840.

The previous prime is 20324122032299. The next prime is 20324122032349. The reversal of 20324122032340 is 4323022142302.

It can be written as a sum of positive squares in 4 ways, for example, as 4164268747716 + 16159853284624 = 2040654^2 + 4019932^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20324122032299 and 20324122032308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20324122032349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141975721 + ... + 142118800.

It is an arithmetic number, because the mean of its divisors is an integer number (699014571381).

Almost surely, 220324122032340 is an apocalyptic number.

20324122032340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20324122032340 is an abundant number, since it is smaller than the sum of its proper divisors (30004927107092).

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

20324122032340 is a wasteful number, since it uses less digits than its factorization.

20324122032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284094617 (or 284094608 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 20324122032340 its reverse (4323022142302), we get a palindrome (24647144174642).

The spelling of 20324122032340 in words is "twenty trillion, three hundred twenty-four billion, one hundred twenty-two million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 730 980 1022 1460 2044 2555 3577 5110 7154 10220 14308 17885 35770 71540 284094521 568189042 1136378084 1420472605 1988661647 2840945210 3977323294 5681890420 7954646588 9943308235 13920631529 19886616470 20738900033 27841263058 39773232940 41477800066 55682526116 69603157645 82955600132 103694500165 139206315290 145172300231 207389000330 278412630580 290344600462 414778000660 580689200924 725861501155 1016206101617 1451723002310 2032412203234 2903446004620 4064824406468 5081030508085 10162061016170 20324122032340