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1072055525121 = 32717258881503
BaseRepresentation
bin11111001100110110111…
…11010001111100000001
310210111011101121100201200
433212123133101330001
5120031032203300441
62140255010251413
7140311351416210
oct17463337217401
93714141540650
101072055525121
11383724439459
12153931286b69
137a12c52b739
1439c6004d077
151cd475567b6
hexf99b7d1f01

1072055525121 has 36 divisors (see below), whose sum is σ = 1879968659712. Its totient is φ = 576567667584.

The previous prime is 1072055525119. The next prime is 1072055525141. The reversal of 1072055525121 is 1215255502701.

1072055525121 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 0 + 5 + 5 + 525 + 121 = 666.

It is not a de Polignac number, because 1072055525121 - 21 = 1072055525119 is a prime.

It is a super-2 number, since 2×10720555251212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072055525141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29422545 + ... + 29458958.

Almost surely, 21072055525121 is an apocalyptic number.

It is an amenable number.

1072055525121 is a deficient number, since it is larger than the sum of its proper divisors (807913134591).

1072055525121 is a wasteful number, since it uses less digits than its factorization.

1072055525121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58881550 (or 58881530 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 36.

The spelling of 1072055525121 in words is "one trillion, seventy-two billion, fifty-five million, five hundred twenty-five thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 289 357 867 1071 2023 2601 6069 18207 58881503 176644509 412170521 529933527 1000985551 1236511563 3002956653 3709534689 7006898857 9008869959 17016754367 21020696571 51050263101 63062089713 119117280569 153150789303 357351841707 1072055525121