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2114113231140 = 22354313131120113
BaseRepresentation
bin11110110000111010111…
…101111101100100100100
321111002220012000121201020
4132300322331331210210
5234114200441344030
64255113223331140
7305511460652031
oct36607275754444
97432805017636
102114113231140
11745654893379
122a18902b0ab0
1312448ac79951
1474476060388
1539ed6265510
hex1ec3af7d924

2114113231140 has 192 divisors, whose sum is σ = 6123347822592. Its totient is φ = 544665139200.

The previous prime is 2114113231129. The next prime is 2114113231157. The reversal of 2114113231140 is 411323114112.

It is a super-2 number, since 2×21141132311402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2114113231140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105101724 + ... + 105121836.

It is an arithmetic number, because the mean of its divisors is an integer number (31892436576).

Almost surely, 22114113231140 is an apocalyptic number.

2114113231140 is a gapful number since it is divisible by the number (20) 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 2114113231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061673911296).

2114113231140 is an abundant number, since it is smaller than the sum of its proper divisors (4009234591452).

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

2114113231140 is a wasteful number, since it uses less digits than its factorization.

2114113231140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20610 (or 20608 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 2114113231140 its reverse (411323114112), we get a palindrome (2525436345252).

The spelling of 2114113231140 in words is "two trillion, one hundred fourteen billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred forty".