Search a number
-
+
35312134300105 = 5133146138014387
BaseRepresentation
bin10000000011101101111110…
…01110001010000111001001
311122000210210100120020002211
420001312333032022013021
514112023222340100410
6203034100501025121
710303134415051165
oct1001667716120711
9148023710506084
1035312134300105
1110284879255103
123b6388a3b51a1
131691bc6259740
148a118b651ca5
1541383a10768a
hex201dbf38a1c9

35312134300105 has 32 divisors (see below), whose sum is σ = 47208395824128. Its totient is φ = 25180729286400.

The previous prime is 35312134300063. The next prime is 35312134300111. The reversal of 35312134300105 is 50100343121353.

It is a happy number.

It is not a de Polignac number, because 35312134300105 - 213 = 35312134291913 is a prime.

It is a super-2 number, since 2×353121343001052 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18078279 + ... + 19936108.

It is an arithmetic number, because the mean of its divisors is an integer number (1475262369504).

Almost surely, 235312134300105 is an apocalyptic number.

It is an amenable number.

35312134300105 is a deficient number, since it is larger than the sum of its proper divisors (11896261524023).

35312134300105 is a wasteful number, since it uses less digits than its factorization.

35312134300105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38014897.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 35312134300105 its reverse (50100343121353), we get a palindrome (85412477421458).

The spelling of 35312134300105 in words is "thirty-five trillion, three hundred twelve billion, one hundred thirty-four million, three hundred thousand, one hundred five".

Divisors: 1 5 13 31 65 155 403 461 2015 2305 5993 14291 29965 71455 185783 928915 38014387 190071935 494187031 1178445997 2470935155 5892229985 15319797961 17524632407 76598989805 87623162035 227820221291 543263604617 1139101106455 2716318023085 7062426860021 35312134300105