Search a number
-
+
100134021 = 3132313631
BaseRepresentation
bin1011111011111…
…10110010000101
320222102100001110
411331332302011
5201113242041
613534115233
72324060631
oct575766205
9228370043
10100134021
1151583199
122964bb19
131798c800
14d427dc1
158bce516
hex5f7ec85

100134021 has 24 divisors (see below), whose sum is σ = 145263936. Its totient is φ = 61326720.

The previous prime is 100134011. The next prime is 100134031. The reversal of 100134021 is 120431001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100134011) and next prime (100134031).

It is not a de Polignac number, because 100134021 - 210 = 100132997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100133988 and 100134006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100134011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158376 + ... + 159006.

It is an arithmetic number, because the mean of its divisors is an integer number (6052664).

Almost surely, 2100134021 is an apocalyptic number.

It is an amenable number.

100134021 is a deficient number, since it is larger than the sum of its proper divisors (45129915).

100134021 is a wasteful number, since it uses less digits than its factorization.

100134021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100134021 is about 10006.6988062997. The cubic root of 100134021 is about 464.3661475887.

Adding to 100134021 its reverse (120431001), we get a palindrome (220565022).

The spelling of 100134021 in words is "one hundred million, one hundred thirty-four thousand, twenty-one".

Divisors: 1 3 13 39 169 313 507 631 939 1893 4069 8203 12207 24609 52897 106639 158691 197503 319917 592509 2567539 7702617 33378007 100134021