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100143117 = 3282113553
BaseRepresentation
bin1011111100000…
…01000000001101
320222102210112100
411332001000031
5201114034432
613534225313
72324126304
oct576010015
9228383470
10100143117
115158a008
1229655239
13179939a9
14d42b43b
158bd207c
hex5f8100d

100143117 has 12 divisors (see below), whose sum is σ = 144838044. Its totient is φ = 66675840.

The previous prime is 100143103. The next prime is 100143139. The reversal of 100143117 is 711341001.

It can be written as a sum of positive squares in 2 ways, for example, as 53275401 + 46867716 = 7299^2 + 6846^2 .

It is not a de Polignac number, because 100143117 - 24 = 100143101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100143117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100143317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613 + ... + 14165.

It is an arithmetic number, because the mean of its divisors is an integer number (12069837).

Almost surely, 2100143117 is an apocalyptic number.

It is an amenable number.

100143117 is a deficient number, since it is larger than the sum of its proper divisors (44694927).

100143117 is a wasteful number, since it uses less digits than its factorization.

100143117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14380 (or 14377 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100143117 is about 10007.1532915210. The cubic root of 100143117 is about 464.3802079002.

Adding to 100143117 its reverse (711341001), we get a palindrome (811484118).

It can be divided in two parts, 10014 and 3117, that added together give a palindrome (13131).

The spelling of 100143117 in words is "one hundred million, one hundred forty-three thousand, one hundred seventeen".

Divisors: 1 3 9 821 2463 7389 13553 40659 121977 11127013 33381039 100143117