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100221450131 = 1122734008377
BaseRepresentation
bin101110101010110101…
…0011111011110010011
3100120200121100011201102
41131111222133132103
53120223142401011
6114012513255015
710145403161465
oct1352552373623
9316617304642
10100221450131
113955a439940
121750bb6446b
1395b266721a
144bca628135
1529188ce73b
hex1755a9f793

100221450131 has 8 divisors (see below), whose sum is σ = 109380618864. Its totient is φ = 91070302720.

The previous prime is 100221450103. The next prime is 100221450143. The reversal of 100221450131 is 131054122001.

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 100221450131 - 230 = 99147708307 is a prime.

It is a super-2 number, since 2×1002214501312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100221450151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1979186 + ... + 2029191.

It is an arithmetic number, because the mean of its divisors is an integer number (13672577358).

Almost surely, 2100221450131 is an apocalyptic number.

100221450131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100221450131 is a deficient number, since it is larger than the sum of its proper divisors (9159168733).

100221450131 is a wasteful number, since it uses less digits than its factorization.

100221450131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010661.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 100221450131 its reverse (131054122001), we get a palindrome (231275572132).

The spelling of 100221450131 in words is "one hundred billion, two hundred twenty-one million, four hundred fifty thousand, one hundred thirty-one".

Divisors: 1 11 2273 25003 4008377 44092147 9111040921 100221450131