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9131311021122 = 2337114871601659
BaseRepresentation
bin1000010011100000110010…
…0011001011110001000010
31012022221111202122211212000
42010320030203023301002
52144101411110133442
631230511045244430
71631500254014523
oct204701443136102
935287452584760
109131311021122
112a00627022894
121035861703716
1351310455aa64
14237d5a34084a
1510c7d66aad4c
hex84e0c8cbc42

9131311021122 has 64 divisors (see below), whose sum is σ = 20591453491200. Its totient is φ = 2998880372880.

The previous prime is 9131311021121. The next prime is 9131311021159. The reversal of 9131311021122 is 2211201131319.

9131311021122 is a `hidden beast` number, since 9 + 1 + 313 + 110 + 211 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9131311021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4900329 + ... + 6501987.

It is an arithmetic number, because the mean of its divisors is an integer number (321741460800).

Almost surely, 29131311021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9131311021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295726745600).

9131311021122 is an abundant number, since it is smaller than the sum of its proper divisors (11460142470078).

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

9131311021122 is a wasteful number, since it uses less digits than its factorization.

9131311021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603228 (or 1603222 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 9131311021122 in words is "nine trillion, one hundred thirty-one billion, three hundred eleven million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1487 1917 2974 3834 4461 8922 13383 26766 40149 80298 105577 211154 316731 633462 950193 1601659 1900386 2850579 3203318 4804977 5701158 9609954 14414931 28829862 43244793 86489586 113717789 227435578 341153367 682306734 1023460101 2046920202 2381666933 3070380303 4763333866 6140760606 7145000799 14290001598 21435002397 42870004794 64305007191 128610014382 169098352243 338196704486 507295056729 1014590113458 1521885170187 3043770340374 4565655510561 9131311021122