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120520022553255 = 35136710786211661
BaseRepresentation
bin11011011001110011000001…
…001000011111001010100111
3120210201121020120221211200110
4123121303001020133022213
5111244100001233201010
61104154044540544103
734246166340022413
oct3331630110371247
9523647216854613
10120520022553255
1135446288865286
1211625707852033
135232cb281a9a0
1421a92b3569d43
15de0007eac120
hex6d9cc121f2a7

120520022553255 has 64 divisors (see below), whose sum is σ = 212734517764608. Its totient is φ = 57901130242560.

The previous prime is 120520022553209. The next prime is 120520022553311. The reversal of 120520022553255 is 552355220025021.

120520022553255 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 120520022553255 - 215 = 120520022520487 is a prime.

It is a super-2 number, since 2×1205200225532552 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41707876 + ... + 44503785.

It is an arithmetic number, because the mean of its divisors is an integer number (3323976840072).

Almost surely, 2120520022553255 is an apocalyptic number.

120520022553255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120520022553255 is a deficient number, since it is larger than the sum of its proper divisors (92214495211353).

120520022553255 is a wasteful number, since it uses less digits than its factorization.

120520022553255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86211856.

The product of its (nonzero) digits is 300000, while the sum is 39.

Adding to 120520022553255 its reverse (552355220025021), we get a palindrome (672875242578276).

The spelling of 120520022553255 in words is "one hundred twenty trillion, five hundred twenty billion, twenty-two million, five hundred fifty-three thousand, two hundred fifty-five".

Divisors: 1 3 5 13 15 39 65 67 107 195 201 321 335 535 871 1005 1391 1605 2613 4173 4355 6955 7169 13065 20865 21507 35845 93197 107535 279591 465985 1397955 86211661 258634983 431058305 1120751593 1293174915 3362254779 5603757965 5776181287 9224647727 16811273895 17328543861 27673943181 28880906435 46123238635 75090356731 86642719305 119920420451 138369715905 225271070193 359761261353 375451783655 599602102255 618051397709 1126355350965 1798806306765 1854154193127 3090256988545 8034668170217 9270770965635 24104004510651 40173340851085 120520022553255