Search a number
-
+
100442619 = 334779151
BaseRepresentation
bin1011111110010…
…10000111111011
321000000000101000
411333022013323
5201203130434
613544500043
72326514424
oct577120773
9230000330
10100442619
1151774032
122977a623
1317a6a104
14d4a864b
158c40b99
hex5fca1fb

100442619 has 16 divisors (see below), whose sum is σ = 151971840. Its totient is φ = 65536200.

The previous prime is 100442611. The next prime is 100442653. The reversal of 100442619 is 916244001.

100442619 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 42 + 619 = 666.

It is not a de Polignac number, because 100442619 - 23 = 100442611 is a prime.

It is a super-2 number, since 2×1004426192 = 20177439423158322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100442592 and 100442601.

It is not an unprimeable number, because it can be changed into a prime (100442611) 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, 38307 + ... + 40844.

It is an arithmetic number, because the mean of its divisors is an integer number (9498240).

Almost surely, 2100442619 is an apocalyptic number.

100442619 is a deficient number, since it is larger than the sum of its proper divisors (51529221).

100442619 is an equidigital number, since it uses as much as digits as its factorization.

100442619 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79207 (or 79201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100442619 is about 10022.1065150995. The cubic root of 100442619 is about 464.8426939289.

The spelling of 100442619 in words is "one hundred million, four hundred forty-two thousand, six hundred nineteen".

Divisors: 1 3 9 27 47 141 423 1269 79151 237453 712359 2137077 3720097 11160291 33480873 100442619