Search a number
-
+
10771411125111 = 37413115031249
BaseRepresentation
bin1001110010111110101000…
…1000100100001101110111
31102010201220011100200011220
42130233222020210031313
52402434322222000421
634524152402401423
72161131415620000
oct234575210441567
942121804320156
1010771411125111
11348314785198a
12125b6a3960273
136019801b5280
142934a66161a7
1513a2c844c3c6
hex9cbea224377

10771411125111 has 40 divisors (see below), whose sum is σ = 18043341750000. Its totient is φ = 5681623401216.

The previous prime is 10771411125107. The next prime is 10771411125127. The reversal of 10771411125111 is 11152111417701.

It is not a de Polignac number, because 10771411125111 - 22 = 10771411125107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10771411127111) 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 39 ways as a sum of consecutive naturals, for example, 57421986 + ... + 57609263.

It is an arithmetic number, because the mean of its divisors is an integer number (451083543750).

Almost surely, 210771411125111 is an apocalyptic number.

10771411125111 is a deficient number, since it is larger than the sum of its proper divisors (7271930624889).

10771411125111 is an equidigital number, since it uses as much as digits as its factorization.

10771411125111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115031293 (or 115031272 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 33.

The spelling of 10771411125111 in words is "ten trillion, seven hundred seventy-one billion, four hundred eleven million, one hundred twenty-five thousand, one hundred eleven".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 1029 1911 2401 4459 7203 13377 31213 93639 115031249 345093747 805218743 1495406237 2415656229 4486218711 5636531201 10467843659 16909593603 31403530977 39455718407 73274905613 118367155221 219824716839 276190028849 512924339291 828570086547 1538773017873 3590470375037 10771411125111