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200400211020204 = 22321313914920675273
BaseRepresentation
bin101101100100001101001111…
…011001000000100110101100
3222021120001222021021100212100
4231210031033121000212230
5202231324113010121304
61550114330324335100
760132303022002006
oct5544151731004654
9867501867240770
10200400211020204
1158943285775308
121a586aa1244490
1387a8874542540
14376b5c9c37376
151827d0926c439
hexb6434f6409ac

200400211020204 has 144 divisors (see below), whose sum is σ = 553146280596000. Its totient is φ = 60807132767232.

The previous prime is 200400211020199. The next prime is 200400211020211. The reversal of 200400211020204 is 402020112004002.

200400211020204 is a `hidden beast` number, since 20 + 0 + 400 + 21 + 1 + 0 + 20 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 644889 + ... + 20030384.

It is an arithmetic number, because the mean of its divisors is an integer number (3841293615250).

Almost surely, 2200400211020204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200400211020204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276573140298000).

200400211020204 is an abundant number, since it is smaller than the sum of its proper divisors (352746069575796).

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

200400211020204 is a wasteful number, since it uses less digits than its factorization.

200400211020204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20675584 (or 20675579 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200400211020204 its reverse (402020112004002), we get a palindrome (602420323024206).

The spelling of 200400211020204 in words is "two hundred trillion, four hundred billion, two hundred eleven million, twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 139 149 156 234 278 298 417 447 468 556 596 834 894 1251 1341 1668 1788 1807 1937 2502 2682 3614 3874 5004 5364 5421 5811 7228 7748 10842 11622 16263 17433 20711 21684 23244 32526 34866 41422 62133 65052 69732 82844 124266 186399 248532 269243 372798 538486 745596 807729 1076972 1615458 2423187 3230916 4846374 9692748 20675273 41350546 62025819 82701092 124051638 186077457 248103276 268778549 372154914 537557098 744309828 806335647 1075114196 1612671294 2419006941 2873862947 3080615677 3225342588 4838013882 5747725894 6161231354 8621588841 9241847031 9676027764 11495451788 12322462708 17243177682 18483694062 25864766523 27725541093 34486355364 36967388124 37360218311 40048003801 51729533046 55451082186 74720436622 80096007602 103459066092 110902164372 112080654933 120144011403 149440873244 160192015204 224161309866 240288022806 336241964799 360432034209 428205579103 448322619732 480576045612 672483929598 720864068418 856411158206 1284616737309 1344967859196 1441728136836 1712822316412 2569233474618 3853850211927 5138466949236 5566672528339 7707700423854 11133345056678 15415400847708 16700017585017 22266690113356 33400035170034 50100052755051 66800070340068 100200105510102 200400211020204