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20121212331 = 32112137134867
BaseRepresentation
bin10010101111010100…
…010101010110101011
31220221021121111022100
4102233110111112223
5312202012243311
613124335224443
71311423324423
oct225724252653
956837544270
1020121212331
118595999700
123a96678123
131b888375cc
14d8c439483
157cb710a56
hex4af5155ab

20121212331 has 36 divisors (see below), whose sum is σ = 32179774536. Its totient is φ = 12105572160.

The previous prime is 20121212329. The next prime is 20121212341. The reversal of 20121212331 is 13321212102.

20121212331 is a `hidden beast` number, since 2 + 0 + 121 + 212 + 331 = 666.

It is not a de Polignac number, because 20121212331 - 21 = 20121212329 is a prime.

It is a super-2 number, since 2×201212123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20121212311) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 81760 + ... + 216626.

It is an arithmetic number, because the mean of its divisors is an integer number (893882626).

Almost surely, 220121212331 is an apocalyptic number.

20121212331 is a deficient number, since it is larger than the sum of its proper divisors (12058562205).

20121212331 is a wasteful number, since it uses less digits than its factorization.

20121212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135032 (or 135018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20121212331 its reverse (13321212102), we get a palindrome (33442424433).

The spelling of 20121212331 in words is "twenty billion, one hundred twenty-one million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 137 363 411 1089 1233 1507 4521 13563 16577 49731 134867 149193 404601 1213803 1483537 4450611 13351833 16318907 18476779 48956721 55430337 146870163 166291011 203244569 609733707 1829201121 2235690259 6707070777 20121212331