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22111002012 = 2231119411012129
BaseRepresentation
bin10100100101111010…
…110001110110011100
32010001221202021121110
4110211322301312130
5330240404031022
614054015302020
71411634262501
oct244572616634
963057667543
1022111002012
1194170a2090
124350b1a910
132114b48458
1410da7d74a8
1589625800c
hex525eb1d9c

22111002012 has 192 divisors, whose sum is σ = 61319462400. Its totient is φ = 6128640000.

The previous prime is 22111001981. The next prime is 22111002019. The reversal of 22111002012 is 21020011122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111002019) 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 63 ways as a sum of consecutive naturals, for example, 10384564 + ... + 10386692.

It is an arithmetic number, because the mean of its divisors is an integer number (319372200).

Almost surely, 222111002012 is an apocalyptic number.

22111002012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30659731200).

22111002012 is an abundant number, since it is smaller than the sum of its proper divisors (39208460388).

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

22111002012 is a wasteful number, since it uses less digits than its factorization.

22111002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2306 counting only the distinct ones).

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

Adding to 22111002012 its reverse (21020011122), we get a palindrome (43131013134).

The spelling of 22111002012 in words is "twenty-two billion, one hundred eleven million, two thousand, twelve".