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121011331131 = 37477731523
BaseRepresentation
bin111000010110011010…
…1100110000000111011
3102120100111011120000000
41300230311212000323
53440312400044011
6131331500444043
711512526225445
oct1605465460073
9376314146000
10121011331131
1147358818179
121b552549623
13b546890c62
145bdd7a3495
153233b74356
hex1c2cd6603b

121011331131 has 64 divisors (see below), whose sum is σ = 185712445440. Its totient is φ = 78803826912.

The previous prime is 121011331127. The next prime is 121011331141. The reversal of 121011331131 is 131133110121.

121011331131 is a `hidden beast` number, since 1 + 210 + 113 + 311 + 31 = 666.

It is not a de Polignac number, because 121011331131 - 22 = 121011331127 is a prime.

It is a super-2 number, since 2×1210113311312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121011331141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79455136 + ... + 79456658.

It is an arithmetic number, because the mean of its divisors is an integer number (2901756960).

Almost surely, 2121011331131 is an apocalyptic number.

121011331131 is a deficient number, since it is larger than the sum of its proper divisors (64701114309).

121011331131 is an frugal number, since it uses more digits than its factorization.

121011331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 121011331131 its reverse (131133110121), we get a palindrome (252144441252).

The spelling of 121011331131 in words is "one hundred twenty-one billion, eleven million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 47 81 141 243 423 729 773 1269 1523 2187 2319 3807 4569 6957 11421 13707 20871 34263 36331 41121 62613 71581 102789 108993 123363 187839 214743 326979 370089 563517 644229 980937 1110267 1177279 1690551 1932687 2942811 3330801 3531837 5798061 8828433 10595511 17394183 26485299 31786533 52182549 55332113 79455897 95359599 156547647 165996339 286078797 497989017 858236391 1493967051 2574709173 4481901153 13445703459 40337110377 121011331131