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212020233241040 = 245723331117577
BaseRepresentation
bin110000001101010011001110…
…101100000000000111010000
31000210200221021121010022011122
4300031103032230000013100
5210242214414202203130
62030532430040101412
762441646013126130
oct6015231654000720
91023627247108148
10212020233241040
1161613304343664
121b942b37164868
13913c56477b933
143a4db96880ac0
15197a1ed44e2e5
hexc0d4ceb001d0

212020233241040 has 160 divisors (see below), whose sum is σ = 588973601134080. Its totient is φ = 69532099101696.

The previous prime is 212020233241027. The next prime is 212020233241049. The reversal of 212020233241040 is 40142332020212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020233241049) 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, 8745269 + ... + 22372308.

It is an arithmetic number, because the mean of its divisors is an integer number (3681085007088).

Almost surely, 2212020233241040 is an apocalyptic number.

212020233241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020233241040 is an abundant number, since it is smaller than the sum of its proper divisors (376953367893040).

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

212020233241040 is an equidigital number, since it uses as much as digits as its factorization.

212020233241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31117666 (or 31117614 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 212020233241040 its reverse (40142332020212), we get a palindrome (252162565261252).

The spelling of 212020233241040 in words is "two hundred twelve trillion, twenty billion, two hundred thirty-three million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 529 560 644 805 920 1058 1288 1610 1840 2116 2576 2645 3220 3703 4232 5290 6440 7406 8464 10580 12167 12880 14812 18515 21160 24334 29624 37030 42320 48668 59248 60835 74060 85169 97336 121670 148120 170338 194672 243340 296240 340676 425845 486680 681352 851690 973360 1362704 1703380 3406760 6813520 31117577 62235154 124470308 155587885 217823039 248940616 311175770 435646078 497881232 622351540 715704271 871292156 1089115195 1244703080 1431408542 1742584312 2178230390 2489406160 2862817084 3485168624 3578521355 4356460780 5009929897 5725634168 7157042710 8712921560 10019859794 11451268336 14314085420 16461198233 17425843120 20039719588 25049649485 28628170840 32922396466 40079439176 50099298970 57256341680 65844792932 80158878352 82305991165 100198597940 115228387631 131689585864 164611982330 200397195880 230456775262 263379171728 329223964660 378607559359 400794391760 460913550524 576141938155 658447929320 757215118718 921827101048 1152283876310 1316895858640 1514430237436 1843654202096 1893037796795 2304567752620 2650252915513 3028860474872 3786075593590 4609135505240 5300505831026 6057720949744 7572151187180 9218271010480 10601011662052 13251264577565 15144302374360 21202023324104 26502529155130 30288604748720 42404046648208 53005058310260 106010116620520 212020233241040