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2123142424312 = 237134017272829
BaseRepresentation
bin11110111001010101001…
…001100110011011111000
321111222012110001011020011
4132321111021212123320
5234241143430034222
64303205210311304
7306251306561260
oct36712511463370
97458173034204
102123142424312
11749468603898
122a3590128534
131252997ab8c0
1474a912b47a0
153a363cabc77
hex1ee552666f8

2123142424312 has 64 divisors (see below), whose sum is σ = 4911778468800. Its totient is φ = 837829785600.

The previous prime is 2123142424309. The next prime is 2123142424313. The reversal of 2123142424312 is 2134242413212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123142424313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3344487 + ... + 3928342.

It is an arithmetic number, because the mean of its divisors is an integer number (76746538575).

Almost surely, 22123142424312 is an apocalyptic number.

It is an amenable number.

2123142424312 is an abundant number, since it is smaller than the sum of its proper divisors (2788636044488).

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

2123142424312 is a wasteful number, since it uses less digits than its factorization.

2123142424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273256 (or 7273252 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 2123142424312 its reverse (2134242413212), we get a palindrome (4257384837524).

The spelling of 2123142424312 in words is "two trillion, one hundred twenty-three billion, one hundred forty-two million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 401 728 802 1604 2807 3208 5213 5614 10426 11228 20852 22456 36491 41704 72982 145964 291928 7272829 14545658 29091316 50909803 58182632 94546777 101819606 189093554 203639212 378187108 407278424 661827439 756374216 1323654878 2647309756 2916404429 5294619512 5832808858 11665617716 20414831003 23331235432 37913257577 40829662006 75826515154 81659324012 151653030308 163318648024 265392803039 303306060616 530785606078 1061571212156 2123142424312