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20340121300 = 22521923676947
BaseRepresentation
bin10010111100010111…
…011001111011010100
31221111112112012221221
4102330113121323110
5313124032340200
613202155220124
71320022115122
oct227427317324
957445465857
1020340121300
118698517204
123b37a47644
131bc1cb2545
14dad540912
157e0a5291a
hex4bc5d9ed4

20340121300 has 144 divisors (see below), whose sum is σ = 49211850240. Its totient is φ = 7261626240.

The previous prime is 20340121289. The next prime is 20340121331. The reversal of 20340121300 is 312104302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2924427 + ... + 2931373.

It is an arithmetic number, because the mean of its divisors is an integer number (341748960).

Almost surely, 220340121300 is an apocalyptic number.

20340121300 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 20340121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605925120).

20340121300 is an abundant number, since it is smaller than the sum of its proper divisors (28871728940).

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

20340121300 is a wasteful number, since it uses less digits than its factorization.

20340121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20340121300 its reverse (312104302), we get a palindrome (20652225602).

The spelling of 20340121300 in words is "twenty billion, three hundred forty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 67 76 92 95 100 115 134 190 230 268 335 380 437 460 475 575 670 874 950 1150 1273 1340 1541 1675 1748 1900 2185 2300 2546 3082 3350 4370 5092 6164 6365 6700 6947 7705 8740 10925 12730 13894 15410 21850 25460 27788 29279 30820 31825 34735 38525 43700 58558 63650 69470 77050 117116 127300 131993 138940 146395 154100 159781 173675 263986 292790 319562 347350 465449 527972 585580 639124 659965 694700 731975 798905 930898 1319930 1463950 1597810 1861796 2327245 2639860 2927900 3035839 3195620 3299825 3994525 4654490 6071678 6599650 7989050 8843531 9308980 10705327 11636225 12143356 13199300 15179195 15978100 17687062 21410654 23272450 30358390 35374124 42821308 44217655 46544900 53526635 60716780 75895975 88435310 107053270 151791950 176870620 203401213 214106540 221088275 267633175 303583900 406802426 442176550 535266350 813604852 884353100 1017006065 1070532700 2034012130 4068024260 5085030325 10170060650 20340121300