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2122142412212 = 221015252827753
BaseRepresentation
bin11110111000011001100…
…010110110110110110100
321111212121202100021111222
4132320121202312312310
5234232121424142322
64302522044445512
7306214444610144
oct36703142666664
97455552307458
102122142412212
11748aa5081a09
122a3351249898
1312516a569074
14749d8562924
153a3060c6e42
hex1ee198b6db4

2122142412212 has 12 divisors (see below), whose sum is σ = 3750519016356. Its totient is φ = 1050565550400.

The previous prime is 2122142412209. The next prime is 2122142412283.

2122142412212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1038532199056 + 1083610213156 = 1019084^2 + 1040966^2 .

It is a super-2 number, since 2×21221424122122 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2626413473 + ... + 2626414280.

It is an arithmetic number, because the mean of its divisors is an integer number (312543251363).

Almost surely, 22122142412212 is an apocalyptic number.

It is an amenable number.

2122142412212 is a deficient number, since it is larger than the sum of its proper divisors (1628376604144).

2122142412212 is a wasteful number, since it uses less digits than its factorization.

2122142412212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252827858 (or 5252827856 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The spelling of 2122142412212 in words is "two trillion, one hundred twenty-two billion, one hundred forty-two million, four hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 101 202 404 5252827753 10505655506 21011311012 530535603053 1061071206106 2122142412212