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121320311331987 = 32234187811162791
BaseRepresentation
bin11011100101011100010110…
…000011111001110010010011
3120220120002221002111001121200
4123211130112003321302103
5111400202444200110422
61110005440454522243
734361050261300065
oct3345342603716223
9526502832431550
10121320311331987
1135724722a29789
1211734832966383
1352905c1566741
1421d5d11dc3735
15e05c467e32ac
hex6e57160f9c93

121320311331987 has 48 divisors (see below), whose sum is σ = 187322873826816. Its totient is φ = 75475434672000.

The previous prime is 121320311331899. The next prime is 121320311332013. The reversal of 121320311331987 is 789133113023121.

121320311331987 is a `hidden beast` number, since 1 + 2 + 1 + 320 + 3 + 1 + 1 + 3 + 319 + 8 + 7 = 666.

It is not a de Polignac number, because 121320311331987 - 220 = 121320310283411 is a prime.

It is a super-3 number, since 3×1213203113319873 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (121320311330987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745170562 + ... + 745333352.

It is an arithmetic number, because the mean of its divisors is an integer number (3902559871392).

Almost surely, 2121320311331987 is an apocalyptic number.

121320311331987 is a deficient number, since it is larger than the sum of its proper divisors (66002562494829).

121320311331987 is a wasteful number, since it uses less digits than its factorization.

121320311331987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250672 (or 250669 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 121320311331987 in words is "one hundred twenty-one trillion, three hundred twenty billion, three hundred eleven million, three hundred thirty-one thousand, nine hundred eighty-seven".

Divisors: 1 3 9 23 41 69 123 207 369 943 2829 8487 87811 162791 263433 488373 790299 1465119 2019653 3600251 3744193 6058959 6674431 10800753 11232579 18176877 20023293 32402259 33697737 60069879 82805773 153511913 248417319 460535739 745251957 1381607217 14294840501 42884521503 128653564509 328781331523 586088460541 986343994569 1758265381623 2959031983707 5274796144869 13480034592443 40440103777329 121320311331987