Search a number
-
+
100021101 = 3378591049
BaseRepresentation
bin1011111011000…
…11001101101101
320222012121011020
411331203031231
5201101133401
613531444353
72323110465
oct575431555
9228177136
10100021101
1151506374
12295b66b9
13179502ab
14d3d8ba5
158baad36
hex5f6336d

100021101 has 16 divisors (see below), whose sum is σ = 137256000. Its totient is φ = 64741248.

The previous prime is 100021093. The next prime is 100021121. The reversal of 100021101 is 101120001.

It is not a de Polignac number, because 100021101 - 23 = 100021093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100021101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021121) 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 15 ways as a sum of consecutive naturals, for example, 94825 + ... + 95873.

It is an arithmetic number, because the mean of its divisors is an integer number (8578500).

Almost surely, 2100021101 is an apocalyptic number.

It is an amenable number.

100021101 is a deficient number, since it is larger than the sum of its proper divisors (37234899).

100021101 is a wasteful number, since it uses less digits than its factorization.

100021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100021101 is about 10001.0549943493. The cubic root of 100021101 is about 464.1915284539.

Adding to 100021101 its reverse (101120001), we get a palindrome (201141102).

The spelling of 100021101 in words is "one hundred million, twenty-one thousand, one hundred one".

Divisors: 1 3 37 111 859 1049 2577 3147 31783 38813 95349 116439 901091 2703273 33340367 100021101