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121076813637 = 3413107232
BaseRepresentation
bin111000011000010111…
…1011000111101000101
3102120112001101102010000
41300300233120331011
53440431131014022
6131342200151513
711514252635523
oct1606057307505
9376461342100
10121076813637
114739178314a
121b570468599
13b55730a4c0
145c0836b313
1532397ab6ac
hex1c30bd8f45

121076813637 has 30 divisors (see below), whose sum is σ = 194798909382. Its totient is φ = 74501859888.

The previous prime is 121076813609. The next prime is 121076813659. The reversal of 121076813637 is 736318670121.

121076813637 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 7 + 6 + 8 + 1 + 3 + 637 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83822409441 + 37254404196 = 289521^2 + 193014^2 .

It is not a de Polignac number, because 121076813637 - 210 = 121076812613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121076813592 and 121076813601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121076811637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11285958 + ... + 11296680.

Almost surely, 2121076813637 is an apocalyptic number.

It is an amenable number.

121076813637 is a deficient number, since it is larger than the sum of its proper divisors (73722095745).

121076813637 is an frugal number, since it uses more digits than its factorization.

121076813637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21471 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 121076813637 in words is "one hundred twenty-one billion, seventy-six million, eight hundred thirteen thousand, six hundred thirty-seven".

Divisors: 1 3 9 13 27 39 81 117 351 1053 10723 32169 96507 139399 289521 418197 868563 1254591 3763773 11291319 114982729 344948187 1034844561 1494775477 3104533683 4484326431 9313601049 13452979293 40358937879 121076813637