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20133312240 = 2435971934481
BaseRepresentation
bin10010110000000010…
…011111011011110000
31220222010101020021010
4102300002133123300
5312213111442430
613125450430520
71311631221216
oct226002373360
956863336233
1020133312240
1185a1803528
123a9a732440
131b8b1b2c12
14d8dca8cb6
157cc800cb0
hex4b009f6f0

20133312240 has 160 divisors (see below), whose sum is σ = 63397567296. Its totient is φ = 5284823040.

The previous prime is 20133312233. The next prime is 20133312259. The reversal of 20133312240 is 4221333102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4490800 + ... + 4495280.

Almost surely, 220133312240 is an apocalyptic number.

20133312240 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 20133312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31698783648).

20133312240 is an abundant number, since it is smaller than the sum of its proper divisors (43264255056).

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

20133312240 is a wasteful number, since it uses less digits than its factorization.

20133312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20133312240 its reverse (4221333102), we get a palindrome (24354645342).

The spelling of 20133312240 in words is "twenty billion, one hundred thirty-three million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 193 194 240 291 386 388 485 579 582 772 776 965 970 1158 1164 1455 1544 1552 1930 1940 2316 2328 2895 2910 3088 3860 3880 4481 4632 4656 5790 5820 7720 7760 8962 9264 11580 11640 13443 15440 17924 18721 22405 23160 23280 26886 35848 37442 44810 46320 53772 56163 67215 71696 74884 89620 93605 107544 112326 134430 149768 179240 187210 215088 224652 268860 280815 299536 358480 374420 434657 449304 537720 561630 748840 864833 869314 898608 1075440 1123260 1303971 1497680 1729666 1738628 2173285 2246520 2594499 2607942 3459332 3477256 4324165 4346570 4493040 5188998 5215884 6519855 6918664 6954512 8648330 8693140 10377996 10431768 12972495 13039710 13837328 17296660 17386280 20755992 20863536 25944990 26079420 34593320 34772560 41511984 51889980 52158840 69186640 83888801 103779960 104317680 167777602 207559920 251666403 335555204 419444005 503332806 671110408 838888010 1006665612 1258332015 1342220816 1677776020 2013331224 2516664030 3355552040 4026662448 5033328060 6711104080 10066656120 20133312240