Search a number
-
+
20313002013108 = 2237267977527749
BaseRepresentation
bin1001001111001011111010…
…10001001111000110110100
32122220220102000222020022220
410213211331101033012310
510130302012003404413
6111111355253322340
74164365061155100
oct447457521170664
978826360866286
1020313002013108
116521772094212
1223409673363b0
13b4467aa3a70c
145032240d0900
152535c3c43223
hex12797d44f1b4

20313002013108 has 144 divisors (see below), whose sum is σ = 56015587656000. Its totient is φ = 5711229748224.

The previous prime is 20313002013089. The next prime is 20313002013121. The reversal of 20313002013108 is 80131020031302.

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, 38226018 + ... + 38753766.

It is an arithmetic number, because the mean of its divisors is an integer number (388997136500).

Almost surely, 220313002013108 is an apocalyptic number.

20313002013108 is a gapful number since it is divisible by the number (28) 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 20313002013108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28007793828000).

20313002013108 is an abundant number, since it is smaller than the sum of its proper divisors (35702585642892).

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

20313002013108 is a wasteful number, since it uses less digits than its factorization.

20313002013108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528814 (or 528805 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 20313002013108 in words is "twenty trillion, three hundred thirteen billion, two million, thirteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 977 1407 1876 1954 2814 2931 3283 3908 5628 5862 6566 6839 9849 11724 13132 13678 19698 20517 27356 39396 41034 47873 65459 82068 95746 130918 143619 191492 196377 261836 287238 392754 458213 527749 574476 785508 916426 1055498 1374639 1583247 1832852 2110996 2749278 3166494 3207491 3694243 5498556 6332988 6414982 7388486 9622473 11082729 12829964 14776972 19244946 22165458 25859701 35359183 38489892 44330916 51719402 70718366 77579103 103438804 106077549 141436732 155158206 212155098 247514281 310316412 424310196 495028562 515610773 742542843 990057124 1031221546 1485085686 1546832319 1732599967 2062443092 2970171372 3093664638 3465199934 3609275411 5197799901 6187329276 6930399868 7218550822 10395599802 10827826233 14437101644 20791199604 21655652466 25264927877 34545921791 43311304932 50529855754 69091843582 75794783631 101059711508 103637765373 138183687164 151589567262 207275530746 241821452537 303179134524 414551061492 483642905074 725464357611 967285810148 1450928715222 1692750167759 2901857430444 3385500335518 5078250503277 6771000671036 10156501006554 20313002013108