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2211230020032 = 263211652953453
BaseRepresentation
bin100000001011010111100…
…101000111000111000000
321211101120102101122212100
4200023113211013013000
5242212044341120112
64411454113230400
7315520225023165
oct40132745070700
97741512348770
102211230020032
11782860777280
122b8674562400
131306973462c7
147904a1da06c
153c7bc2ca2dc
hex202d79471c0

2211230020032 has 168 divisors, whose sum is σ = 6915470131440. Its totient is φ = 669954539520.

The previous prime is 2211230020031. The next prime is 2211230020093. The reversal of 2211230020032 is 2300200321122.

2211230020032 is a `hidden beast` number, since 22 + 112 + 300 + 200 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2211230019987 and 2211230020014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211230020031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41341018 + ... + 41394470.

Almost surely, 22211230020032 is an apocalyptic number.

2211230020032 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 2211230020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457735065720).

2211230020032 is an abundant number, since it is smaller than the sum of its proper divisors (4704240111408).

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

2211230020032 is a wasteful number, since it uses less digits than its factorization.

2211230020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60011 (or 59998 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2211230020032 its reverse (2300200321122), we get a palindrome (4511430341154).

The spelling of 2211230020032 in words is "two trillion, two hundred eleven billion, two hundred thirty million, twenty thousand, thirty-two".