Search a number
-
+
20421100333340 = 22572227775911831
BaseRepresentation
bin1001010010010101010000…
…11011100110100100011100
32200022020102121000212110222
410221022220123212210130
510134034403141131330
6111233153551420512
74205242621551500
oct451125033464434
980266377025428
1020421100333340
1165635a3841153
1223598b5224738
13b51917266305
1450855a8d0300
152562eddea0e5
hex1292a86e691c

20421100333340 has 144 divisors (see below), whose sum is σ = 50116285578240. Its totient is φ = 6969188903040.

The previous prime is 20421100333321. The next prime is 20421100333357. The reversal of 20421100333340 is 4333300112402.

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, 1726061225 + ... + 1726073055.

It is an arithmetic number, because the mean of its divisors is an integer number (348029760960).

Almost surely, 220421100333340 is an apocalyptic number.

20421100333340 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 20421100333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25058142789120).

20421100333340 is an abundant number, since it is smaller than the sum of its proper divisors (29695185244900).

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

20421100333340 is a wasteful number, since it uses less digits than its factorization.

20421100333340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19840 (or 19831 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 20421100333340 its reverse (4333300112402), we get a palindrome (24754400445742).

The spelling of 20421100333340 in words is "twenty trillion, four hundred twenty-one billion, one hundred million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 227 245 454 490 908 980 1135 1589 2270 3178 4540 6356 7759 7945 11123 11831 15518 15890 22246 23662 31036 31780 38795 44492 47324 54313 55615 59155 77590 82817 108626 111230 118310 155180 165634 217252 222460 236620 271565 331268 380191 414085 543130 579719 760382 828170 1086260 1159438 1520764 1656340 1761293 1900955 2318876 2685637 2898595 3522586 3801910 5371274 5797190 7045172 7603820 8806465 10742548 11594380 12329051 13428185 17612930 18799459 24658102 26856370 35225860 37598918 49316204 53712740 61645255 75197836 86303357 91796729 93997295 123290510 131596213 172606714 183593458 187994590 246581020 263192426 345213428 367186916 375989180 431516785 458983645 526384852 642577103 657981065 863033570 917967290 1285154206 1315962130 1726067140 1835934580 2570308412 2631924260 3212885515 4498039721 6425771030 8996079442 12851542060 17992158884 20837857483 22490198605 41675714966 44980397210 83351429932 89960794420 104189287415 145865002381 208378574830 291730004762 416757149660 583460009524 729325011905 1021055016667 1458650023810 2042110033334 2917300047620 4084220066668 5105275083335 10210550166670 20421100333340