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7131217137 = 31117234312853
BaseRepresentation
bin1101010010000110…
…11011110011110001
3200101222122100212020
412221003123303301
5104101042422022
63135342422053
7341501226342
oct65103336361
920358570766
107131217137
11302a427a90
121470291929
13898559715
144b91560c9
152bb0d835c
hex1a90dbcf1

7131217137 has 64 divisors (see below), whose sum is σ = 11727783936. Its totient is φ = 3800079360.

The previous prime is 7131217127. The next prime is 7131217141. The reversal of 7131217137 is 7317121317.

It is not a de Polignac number, because 7131217137 - 28 = 7131216881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 7131217098 and 7131217107.

It is not an unprimeable number, because it can be changed into a prime (7131217127) 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, 548403 + ... + 561255.

It is an arithmetic number, because the mean of its divisors is an integer number (183246624).

Almost surely, 27131217137 is an apocalyptic number.

It is an amenable number.

7131217137 is a deficient number, since it is larger than the sum of its proper divisors (4596566799).

7131217137 is a wasteful number, since it uses less digits than its factorization.

7131217137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950.

The product of its digits is 6174, while the sum is 33.

The square root of 7131217137 is about 84446.5341917595. The cubic root of 7131217137 is about 1924.8100908510.

The spelling of 7131217137 in words is "seven billion, one hundred thirty-one million, two hundred seventeen thousand, one hundred thirty-seven".

Divisors: 1 3 11 17 23 33 43 51 69 129 187 253 391 473 561 731 759 989 1173 1419 2193 2967 4301 8041 10879 12853 12903 16813 24123 32637 38559 50439 141383 184943 218501 295619 424149 552679 554829 655503 886857 1658037 2403511 3251809 5025523 6079469 7210533 9395543 9755427 12711617 15076569 18238407 28186629 38134851 55280753 103350973 139827787 165842259 216097489 310052919 419483361 648292467 2377072379 7131217137