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211220211021100 = 225223208189441113
BaseRepresentation
bin110000000001101010001001…
…101001011011010100101100
31000200212110021200011200011021
4300001222021221123110230
5210141112443010133400
62025121120403303524
762330104506351001
oct6001521151332454
91020773250150137
10211220211021100
1161334a96692786
121b833a8537aba4
1390b1c99022588
143a231815b38a8
1519644c821d71a
hexc01a89a5b52c

211220211021100 has 72 divisors (see below), whose sum is σ = 478279407221280. Its totient is φ = 80814118049280.

The previous prime is 211220211021059. The next prime is 211220211021139. The reversal of 211220211021100 is 1120112022112.

It is a super-2 number, since 2×2112202110211002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478614144 + ... + 479055256.

It is an arithmetic number, because the mean of its divisors is an integer number (6642769544740).

Almost surely, 2211220211021100 is an apocalyptic number.

211220211021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220211021100 is an abundant number, since it is smaller than the sum of its proper divisors (267059196200180).

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

211220211021100 is a wasteful number, since it uses less digits than its factorization.

211220211021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649339 (or 649332 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211220211021100 its reverse (1120112022112), we get a palindrome (212340323043212).

The spelling of 211220211021100 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred eleven million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 208189 416378 441113 832756 882226 1040945 1764452 2081890 2205565 4163780 4411130 4788347 5204725 8822260 9576694 10145599 10409450 11027825 19153388 20291198 20818900 22055650 23941735 40582396 44111300 47883470 50727995 95766940 101455990 119708675 202911980 239417350 253639975 478834700 507279950 1014559900 91834874357 183669748714 367339497428 459174371785 918348743570 1836697487140 2112202110211 2295871858925 4224404220422 4591743717850 8448808440844 9183487435700 10561010551055 21122021102110 42244042204220 52805052755275 105610105510550 211220211021100