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2123021142 = 2321133731817
BaseRepresentation
bin111111010001010…
…1011101101010110
312110221211122111200
41332202223231112
513321443134032
6550355413330
7103416245004
oct17642535526
95427748450
102123021142
1199a432230
124b2bb4246
1327aabb438
14161d5da74
15c65b347c
hex7e8abb56

2123021142 has 48 divisors (see below), whose sum is σ = 5033098512. Its totient is φ = 641410560.

The previous prime is 2123021119. The next prime is 2123021171. The reversal of 2123021142 is 2411203212.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50818 + ... + 82634.

It is an arithmetic number, because the mean of its divisors is an integer number (104856219).

Almost surely, 22123021142 is an apocalyptic number.

2123021142 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 2123021142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516549256).

2123021142 is an abundant number, since it is smaller than the sum of its proper divisors (2910077370).

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

2123021142 is a wasteful number, since it uses less digits than its factorization.

2123021142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32173 (or 32170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2123021142 is about 46076.2535586391. The cubic root of 2123021142 is about 1285.2415967889.

Adding to 2123021142 its reverse (2411203212), we get a palindrome (4534224354).

It can be divided in two parts, 212302 and 1142, that added together give a square (213444 = 4622).

The spelling of 2123021142 in words is "two billion, one hundred twenty-three million, twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 337 674 1011 2022 3033 3707 6066 7414 11121 22242 31817 33363 63634 66726 95451 190902 286353 349987 572706 699974 1049961 2099922 3149883 6299766 10722329 21444658 32166987 64333974 96500961 117945619 193001922 235891238 353836857 707673714 1061510571 2123021142