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210111001122 = 231137251342791
BaseRepresentation
bin1100001110101110010…
…1110111001000100010
3202002022222220202112110
43003223211313020202
511420301404013442
6240305035540150
721115514020251
oct3035345671042
9662288822473
10210111001122
1181120200a80
12348798ba656
1316a76002589
14a252c9a798
1556eae5b69c
hex30eb977222

210111001122 has 64 divisors (see below), whose sum is σ = 472690971648. Its totient is φ = 61702200000.

The previous prime is 210111001081. The next prime is 210111001123. The reversal of 210111001122 is 221100111012.

210111001122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210111001098 and 210111001107.

It is not an unprimeable number, because it can be changed into a prime (210111001123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 441547 + ... + 784337.

It is an arithmetic number, because the mean of its divisors is an integer number (7385796432).

Almost surely, 2210111001122 is an apocalyptic number.

210111001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210111001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236345485824).

210111001122 is an abundant number, since it is smaller than the sum of its proper divisors (262579970526).

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

210111001122 is a wasteful number, since it uses less digits than its factorization.

210111001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343095.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210111001122 its reverse (221100111012), we get a palindrome (431211112134).

The spelling of 210111001122 in words is "two hundred ten billion, one hundred eleven million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 251 407 502 753 814 1221 1506 2442 2761 5522 8283 9287 16566 18574 27861 55722 102157 204314 306471 342791 612942 685582 1028373 2056746 3770701 7541402 11312103 12683267 22624206 25366534 38049801 76099602 86040541 139515937 172081082 258121623 279031874 418547811 516243246 837095622 946445951 1892891902 2839337853 3183500017 5678675706 6367000034 9550500051 19101000102 35018500187 70037000374 105055500561 210111001122