Search a number
-
+
100533031 = 316797499
BaseRepresentation
bin1011111111000…
…00001100100111
321000011121101121
411333200030213
5201214024111
613550434411
72330342134
oct577401447
9230147347
10100533031
1151825a55
1229802a07
1317a9c301
14d4cd58b
158c5c871
hex5fe0327

100533031 has 16 divisors (see below), whose sum is σ = 106624000. Its totient is φ = 94659840.

The previous prime is 100533029. The next prime is 100533067. The reversal of 100533031 is 130335001.

It is a cyclic number.

It is not a de Polignac number, because 100533031 - 21 = 100533029 is a prime.

It is a super-2 number, since 2×1005330312 = 20213780644093922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100532996 and 100533014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100533071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201220 + ... + 201718.

It is an arithmetic number, because the mean of its divisors is an integer number (6664000).

Almost surely, 2100533031 is an apocalyptic number.

100533031 is a deficient number, since it is larger than the sum of its proper divisors (6090969).

100533031 is an equidigital number, since it uses as much as digits as its factorization.

100533031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 100533031 is about 10026.6161290836. The cubic root of 100533031 is about 464.9821259557.

Adding to 100533031 its reverse (130335001), we get a palindrome (230868032).

The spelling of 100533031 in words is "one hundred million, five hundred thirty-three thousand, thirty-one".

Divisors: 1 31 67 97 499 2077 3007 6499 15469 33433 48403 201469 1036423 1500493 3243001 100533031