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2231020013310 = 23251110756337409
BaseRepresentation
bin100000011101110011001…
…001111100011011111110
321220021122121202111001100
4200131303021330123332
5243023112110411220
64424525541353530
7320120520134454
oct40356311743376
97807577674040
102231020013310
117901966a9120
123004781088a6
131324cc371cba
1479da66569d4
153d0798b1d90
hex2077327c6fe

2231020013310 has 192 divisors, whose sum is σ = 6398639919360. Its totient is φ = 534832650240.

The previous prime is 2231020013309. The next prime is 2231020013389. The reversal of 2231020013310 is 133100201322.

2231020013310 is a `hidden beast` number, since 2 + 2 + 310 + 20 + 0 + 1 + 331 + 0 = 666.

It is a super-3 number, since 3×22310200133103 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59619886 + ... + 59657294.

It is an arithmetic number, because the mean of its divisors is an integer number (33326249580).

Almost surely, 22231020013310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231020013310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199319959680).

2231020013310 is an abundant number, since it is smaller than the sum of its proper divisors (4167619906050).

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

2231020013310 is a wasteful number, since it uses less digits than its factorization.

2231020013310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38103 (or 38100 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2231020013310 its reverse (133100201322), we get a palindrome (2364120214632).

The spelling of 2231020013310 in words is "two trillion, two hundred thirty-one billion, twenty million, thirteen thousand, three hundred ten".