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211000212200100 = 223521219757664511
BaseRepresentation
bin101111111110011101010000…
…101100100001101010100100
31000200002102102120120121200210
4233332131100230201222210
5210124011413310400400
62024432054225135420
762305155646260261
oct5776352054415244
91020072376517623
10211000212200100
116125a762028344
121b7b930818a570
13909730864c30b
143a16671436268
15195d8ee1b2950
hexbfe750b21aa4

211000212200100 has 72 divisors (see below), whose sum is σ = 610544010682368. Its totient is φ = 56262109116800.

The previous prime is 211000212200093. The next prime is 211000212200101. The reversal of 211000212200100 is 1002212000112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211000212200101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25173156 + ... + 32491355.

It is an arithmetic number, because the mean of its divisors is an integer number (8479777926144).

Almost surely, 2211000212200100 is an apocalyptic number.

211000212200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000212200100 is an abundant number, since it is smaller than the sum of its proper divisors (399543798482268).

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

211000212200100 is a wasteful number, since it uses less digits than its factorization.

211000212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57676725 (or 57676718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211000212200100 its reverse (1002212000112), we get a palindrome (212002424200212).

The spelling of 211000212200100 in words is "two hundred eleven trillion, two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12197 24394 36591 48788 60985 73182 121970 146364 182955 243940 304925 365910 609850 731820 914775 1219700 1829550 3659100 57664511 115329022 172993533 230658044 288322555 345987066 576645110 691974132 864967665 1153290220 1441612775 1729935330 2883225550 3459870660 4324838325 5766451100 8649676650 17299353300 703334040667 1406668081334 2110002122001 2813336162668 3516670203335 4220004244002 7033340406670 8440008488004 10550010610005 14066680813340 17583351016675 21100021220010 35166702033350 42200042440020 52750053050025 70333404066700 105500106100050 211000212200100