Search a number
-
+
211201210020200 = 23527339311154727
BaseRepresentation
bin110000000001011000011101…
…000110010111000101101000
31000200210122020110102211001012
4300001120131012113011220
5210140310034231121300
62025104255122043052
762325532604455631
oct6001303506270550
91020718213384035
10211201210020200
1161327a26063554
121b830261aa9488
1390b025b5c438a
143a2229bc58888
151963c65037435
hexc0161d197168

211201210020200 has 96 divisors (see below), whose sum is σ = 491768709788160. Its totient is φ = 84355624953600.

The previous prime is 211201210020187. The next prime is 211201210020211. The reversal of 211201210020200 is 2020012102112.

It is a super-2 number, since 2×2112012100202002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364915237 + ... + 1365069963.

It is an arithmetic number, because the mean of its divisors is an integer number (5122590726960).

Almost surely, 2211201210020200 is an apocalyptic number.

211201210020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201210020200 is an abundant number, since it is smaller than the sum of its proper divisors (280567499767960).

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

211201210020200 is a wasteful number, since it uses less digits than its factorization.

211201210020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164787 (or 164778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211201210020200 its reverse (2020012102112), we get a palindrome (213221222122312).

The spelling of 211201210020200 in words is "two hundred eleven trillion, two hundred one billion, two hundred ten million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 733 1466 2932 3665 5864 7330 9311 14660 18325 18622 29320 36650 37244 46555 73300 74488 93110 146600 154727 186220 232775 309454 372440 465550 618908 773635 931100 1237816 1547270 1862200 3094540 3868175 6189080 6824963 7736350 13649926 15472700 27299852 30945400 34124815 54599704 68249630 113414891 136499260 170624075 226829782 272998520 341248150 453659564 567074455 682496300 907319128 1134148910 1364992600 1440663097 2268297820 2835372275 2881326194 4536595640 5670744550 5762652388 7203315485 11341489100 11525304776 14406630970 22682978200 28813261940 36016577425 57626523880 72033154850 144066309700 288132619400 1056006050101 2112012100202 4224024200404 5280030250505 8448048400808 10560060501010 21120121002020 26400151252525 42240242004040 52800302505050 105600605010100 211201210020200