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200211200002120 = 235311759287931883
BaseRepresentation
bin101101100001011101001101…
…011101001100100001001000
3222020220000002202200210122011
4231201131031131030201020
5202220230014200031440
61545451431110305304
760112532114601106
oct5541351535144110
9866800082623564
10200211200002120
11588801029a694a
121a556331958234
138793ab1a90938
1437623b9398c76
151822e4590c9ea
hexb6174d74c848

200211200002120 has 128 divisors (see below), whose sum is σ = 465447223296000. Its totient is φ = 77427717200640.

The previous prime is 200211200002117. The next prime is 200211200002223. The reversal of 200211200002120 is 21200002112002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 200211200002120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6279543699 + ... + 6279575581.

It is an arithmetic number, because the mean of its divisors is an integer number (3636306432000).

Almost surely, 2200211200002120 is an apocalyptic number.

200211200002120 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 200211200002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232723611648000).

200211200002120 is an abundant number, since it is smaller than the sum of its proper divisors (265236023293880).

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

200211200002120 is a wasteful number, since it uses less digits than its factorization.

200211200002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36563 (or 36559 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200211200002120 its reverse (21200002112002), we get a palindrome (221411202114122).

The spelling of 200211200002120 in words is "two hundred trillion, two hundred eleven billion, two hundred million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1759 2879 3518 5758 7036 8795 11516 14072 14395 17590 23032 28790 31883 35180 54529 57580 63766 70360 89249 109058 115160 127532 159415 178498 218116 255064 272645 318830 356996 436232 446245 545290 637660 713992 892490 988373 1090580 1275320 1784980 1976746 2181160 3569960 3953492 4941865 5064161 7906984 9883730 10128322 19767460 20256644 25320805 39534920 40513288 50641610 56082197 91791157 101283220 112164394 156988991 183582314 202566440 224328788 280410985 313977982 367164628 448657576 458955785 560821970 627955964 734329256 784944955 917911570 1121643940 1255911928 1569889910 1738548107 1835823140 2243287880 2845525867 3139779820 3477096214 3671646280 5691051734 6279559640 6954192428 8692740535 11382103468 13908384856 14227629335 17385481070 22764206936 28455258670 34770962140 56910517340 69541924280 113821034680 161460645163 322921290326 645842580652 807303225815 1291685161304 1614606451630 3229212903260 5005280000053 6458425806520 10010560000106 20021120000212 25026400000265 40042240000424 50052800000530 100105600001060 200211200002120