Search a number
-
+
100131221091 = 3113034279427
BaseRepresentation
bin101110101000001001…
…0010010111001100011
3100120110022120001202010
41131100102102321203
53120032043033331
6113555531324003
710143226223166
oct1352022227143
9316408501663
10100131221091
1139513511490
12174a58b0603
139599a64c65
144bbc65badd
152910a09e46
hex1750492e63

100131221091 has 8 divisors (see below), whose sum is σ = 145645412544. Its totient is φ = 60685588520.

The previous prime is 100131221063. The next prime is 100131221101. The reversal of 100131221091 is 190122131001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100131221091 - 214 = 100131204707 is a prime.

It is a super-2 number, since 2×1001312210912 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100131221191) 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 7 ways as a sum of consecutive naturals, for example, 1517139681 + ... + 1517139746.

It is an arithmetic number, because the mean of its divisors is an integer number (18205676568).

Almost surely, 2100131221091 is an apocalyptic number.

100131221091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100131221091 is a deficient number, since it is larger than the sum of its proper divisors (45514191453).

100131221091 is a wasteful number, since it uses less digits than its factorization.

100131221091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034279441.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 100131221091 its reverse (190122131001), we get a palindrome (290253352092).

The spelling of 100131221091 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-one thousand, ninety-one".

Divisors: 1 3 11 33 3034279427 9102838281 33377073697 100131221091