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961311313203112 = 231916360164559237
BaseRepresentation
bin1101101010010011101011101…
…1010101111000111110101000
311200001201110112021100222220101
43122210322323111320332220
52002000111032134444422
613244312153132035144
7406325310332352664
oct33244727325707650
94601643467328811
10961311313203112
11259337924a726a3
128b9986a5902ab4
1332352363653281
1412d55a042a58a4
157620da780ec27
hex36a4ebb578fa8

961311313203112 has 64 divisors (see below), whose sum is σ = 1912141334779200. Its totient is φ = 451811357222400.

The previous prime is 961311313203089. The next prime is 961311313203113. The reversal of 961311313203112 is 211302313113169.

It is a happy number.

It is a super-4 number, since 4×9613113132031124 (a number of 61 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (961311313203113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17389243 + ... + 47169994.

It is an arithmetic number, because the mean of its divisors is an integer number (29877208355925).

Almost surely, 2961311313203112 is an apocalyptic number.

It is an amenable number.

961311313203112 is a deficient number, since it is larger than the sum of its proper divisors (950830021576088).

961311313203112 is a wasteful number, since it uses less digits than its factorization.

961311313203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64560026 (or 64560022 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 961311313203112 in words is "nine hundred sixty-one trillion, three hundred eleven billion, three hundred thirteen million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 19 38 76 152 163 326 601 652 1202 1304 2404 3097 4808 6194 11419 12388 22838 24776 45676 91352 97963 195926 391852 783704 1861297 3722594 7445188 14890376 64559237 129118474 258236948 516473896 1226625503 2453251006 4906502012 9813004024 10523155631 21046311262 38800101437 42092622524 77600202874 84185245048 155200405748 199939956989 310400811496 399879913978 737201927303 799759827956 1474403854606 1599519655912 2948807709212 5897615418424 6324416534231 12648833068462 25297666136924 50595332273848 120163914150389 240327828300778 480655656601556 961311313203112