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211220211121002 = 23266919175353131
BaseRepresentation
bin110000000001101010001001…
…101001110011101101101010
31000200212110021200100202012100
4300001222021221303231222
5210141112443021333002
62025121120405354230
762330104510245156
oct6001521151635552
91020773250322170
10211220211121002
1161334a96750846
121b833a85408976
1390b1c99058ba5
143a231815dc066
1519644c823d11c
hexc01a89a73b6a

211220211121002 has 24 divisors (see below), whose sum is σ = 457650632144160. Its totient is φ = 70405684520040.

The previous prime is 211220211121001. The next prime is 211220211121069. The reversal of 211220211121002 is 200121112022112.

211220211121002 is a `hidden beast` number, since 21 + 1 + 220 + 211 + 1 + 210 + 0 + 2 = 666.

It is a super-2 number, since 2×2112202111210022 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211220211121001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86472024 + ... + 88881107.

It is an arithmetic number, because the mean of its divisors is an integer number (19068776339340).

Almost surely, 2211220211121002 is an apocalyptic number.

211220211121002 is an abundant number, since it is smaller than the sum of its proper divisors (246430421023158).

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

211220211121002 is a wasteful number, since it uses less digits than its factorization.

211220211121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175420058 (or 175420055 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211220211121002 its reverse (200121112022112), we get a palindrome (411341323143114).

The spelling of 211220211121002 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 66919 133838 200757 401514 602271 1204542 175353131 350706262 526059393 1052118786 1578178179 3156356358 11734456173389 23468912346778 35203368520167 70406737040334 105610105560501 211220211121002