Search a number
-
+
221100122031 = 32931190742989
BaseRepresentation
bin1100110111101010011…
…0000001111110101111
3210010200211212221110120
43031322212001332233
512110303112401111
6245323314540023
721655032012525
oct3157246017657
9703624787416
10221100122031
118584a289188
1236a25b97613
1317b078bb199
14a9b6538315
155b40a9c406
hex337a981faf

221100122031 has 32 divisors (see below), whose sum is σ = 314975692800. Its totient is φ = 137651015040.

The previous prime is 221100122011. The next prime is 221100122053. The reversal of 221100122031 is 130221001122.

It is not a de Polignac number, because 221100122031 - 25 = 221100121999 is a prime.

It is a super-2 number, since 2×2211001220312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221100122031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100122011) 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 31 ways as a sum of consecutive naturals, for example, 5121685 + ... + 5164673.

It is an arithmetic number, because the mean of its divisors is an integer number (9842990400).

Almost surely, 2221100122031 is an apocalyptic number.

221100122031 is a deficient number, since it is larger than the sum of its proper divisors (93875570769).

221100122031 is a wasteful number, since it uses less digits than its factorization.

221100122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44959.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221100122031 its reverse (130221001122), we get a palindrome (351321123153).

The spelling of 221100122031 in words is "two hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 3 29 31 87 93 899 1907 2697 5721 42989 55303 59117 128967 165909 177351 1246681 1332659 1714393 3740043 3997977 5143179 38647111 81980023 115941333 245940069 2377420667 2541380713 7132262001 7624142139 73700040677 221100122031