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10687107171 = 3131718189057
BaseRepresentation
bin10011111010000000…
…00101000001100011
31000120210200021222010
421331000011001203
5133341344412141
64524245444003
7525556624566
oct117500050143
930523607863
1010687107171
114594658884
1220a3110603
131014164370
147355024dd
15428385416
hex27d005063

10687107171 has 32 divisors (see below), whose sum is σ = 16338224448. Its totient is φ = 6155550720.

The previous prime is 10687107149. The next prime is 10687107203. The reversal of 10687107171 is 17170178601.

It is not a de Polignac number, because 10687107171 - 214 = 10687090787 is a prime.

It is a super-2 number, since 2×106871071712 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10687107271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75475 + ... + 164531.

It is an arithmetic number, because the mean of its divisors is an integer number (510569514).

Almost surely, 210687107171 is an apocalyptic number.

10687107171 is a deficient number, since it is larger than the sum of its proper divisors (5651117277).

10687107171 is a wasteful number, since it uses less digits than its factorization.

10687107171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89271.

The product of its (nonzero) digits is 16464, while the sum is 39.

The spelling of 10687107171 in words is "ten billion, six hundred eighty-seven million, one hundred seven thousand, one hundred seventy-one".

Divisors: 1 3 13 17 39 51 181 221 543 663 2353 3077 7059 9231 40001 89057 120003 267171 1157741 1513969 3473223 4541907 16119317 19681597 48357951 59044791 209551121 274028389 628653363 822085167 3562369057 10687107171