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20135303601240 = 23354714532457047
BaseRepresentation
bin1001001010000000111011…
…00111100101110001011000
32122021220201221001121110010
410211000131213211301120
510114344100210214430
6110454010351521520
74145504410452342
oct445003547456130
978256657047403
1020135303601240
116463374a58293
1223124345292a0
13b3099bba6149
144d87a7c58292
1524db73621cb0
hex12501d9e5c58

20135303601240 has 128 divisors (see below), whose sum is σ = 61733625845760. Its totient is φ = 5251552525824.

The previous prime is 20135303601229. The next prime is 20135303601241. The reversal of 20135303601240 is 4210630353102.

It is a super-2 number, since 2×201353036012402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20135303601198 and 20135303601207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20135303601241) 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, 6966397 + ... + 9423443.

It is an arithmetic number, because the mean of its divisors is an integer number (482293951920).

Almost surely, 220135303601240 is an apocalyptic number.

20135303601240 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 20135303601240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30866812922880).

20135303601240 is an abundant number, since it is smaller than the sum of its proper divisors (41598322244520).

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

20135303601240 is a wasteful number, since it uses less digits than its factorization.

20135303601240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458561 (or 2458557 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 20135303601240 its reverse (4210630353102), we get a palindrome (24345933954342).

The spelling of 20135303601240 in words is "twenty trillion, one hundred thirty-five billion, three hundred three million, six hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1453 1880 2820 2906 4359 5640 5812 7265 8718 11624 14530 17436 21795 29060 34872 43590 58120 68291 87180 136582 174360 204873 273164 341455 409746 546328 682910 819492 1024365 1365820 1638984 2048730 2457047 2731640 4097460 4914094 7371141 8194920 9828188 12285235 14742282 19656376 24570470 29484564 36855705 49140940 58969128 73711410 98281880 115481209 147422820 230962418 294845640 346443627 461924836 577406045 692887254 923849672 1154812090 1385774508 1732218135 2309624180 2771549016 3464436270 3570089291 4619248360 6928872540 7140178582 10710267873 13857745080 14280357164 17850446455 21420535746 28560714328 35700892910 42841071492 53551339365 71401785820 85682142984 107102678730 142803571640 167794196677 214205357460 335588393354 428410714920 503382590031 671176786708 838970983385 1006765180062 1342353573416 1677941966770 2013530360124 2516912950155 3355883933540 4027060720248 5033825900310 6711767867080 10067651800620 20135303601240