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334122142221 = 32721136704837
BaseRepresentation
bin1001101110010110011…
…10110100101000001101
31011221102112202110012100
410313023032310220031
520433240232022341
6413254341025313
733065600230500
oct4671316645015
91157375673170
10334122142221
1111977826983a
12549089b5239
132567a20c3ca
1412258c17137
158a581383b6
hex4dcb3b4a0d

334122142221 has 36 divisors (see below), whose sum is σ = 566384485212. Its totient is φ = 189237291264.

The previous prime is 334122142219. The next prime is 334122142223. The reversal of 334122142221 is 122241221433.

334122142221 is a `hidden beast` number, since 3 + 3 + 412 + 21 + 4 + 2 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (334122142219) and next prime (334122142223).

It can be written as a sum of positive squares in 2 ways, for example, as 43616234025 + 290505908196 = 208845^2 + 538986^2 .

It is not a de Polignac number, because 334122142221 - 21 = 334122142219 is a prime.

It is a super-2 number, since 2×3341221422212 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334122142223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3302586 + ... + 3402251.

It is an arithmetic number, because the mean of its divisors is an integer number (15732902367).

Almost surely, 2334122142221 is an apocalyptic number.

It is an amenable number.

334122142221 is a deficient number, since it is larger than the sum of its proper divisors (232262342991).

334122142221 is a wasteful number, since it uses less digits than its factorization.

334122142221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704970 (or 6704960 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 334122142221 its reverse (122241221433), we get a palindrome (456363363654).

The spelling of 334122142221 in words is "three hundred thirty-four billion, one hundred twenty-two million, one hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 113 147 339 441 791 1017 2373 5537 7119 16611 49833 6704837 20114511 46933859 60343533 140801577 328537013 422404731 757646581 985611039 2272939743 2956833117 5303526067 6818819229 15910578201 37124682469 47731734603 111374047407 334122142221