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10221441131 = 111754660113
BaseRepresentation
bin10011000010011111…
…01101000001101011
3222101100110000020202
421201033231001223
5131413142104011
64410132542415
7511203546626
oct114117550153
928340400222
1010221441131
114375812010
121b93181a0b
13c6b840b25
146cd726dbd
153ec55023b
hex2613ed06b

10221441131 has 8 divisors (see below), whose sum is σ = 11806584624. Its totient is φ = 8745617920.

The previous prime is 10221441127. The next prime is 10221441133. The reversal of 10221441131 is 13114412201.

10221441131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10221441131 - 22 = 10221441127 is a prime.

It is a super-2 number, since 2×102214411312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221441133) 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, 27329870 + ... + 27330243.

It is an arithmetic number, because the mean of its divisors is an integer number (1475823078).

Almost surely, 210221441131 is an apocalyptic number.

10221441131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221441131 is a deficient number, since it is larger than the sum of its proper divisors (1585143493).

10221441131 is a wasteful number, since it uses less digits than its factorization.

10221441131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54660141.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10221441131 its reverse (13114412201), we get a palindrome (23335853332).

The spelling of 10221441131 in words is "ten billion, two hundred twenty-one million, four hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 11 17 187 54660113 601261243 929221921 10221441131