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221142241122 = 231120631624159
BaseRepresentation
bin1100110111110100011…
…0101100111101100010
3210010210210010210222220
43031331012230331202
512110344403203442
6245331421411510
721656053014645
oct3157506547542
9703723123886
10221142241122
1185871036950
1236a38109b96
1317b1354741a
14a9bbd7da5c
155b4461beec
hex337d1acf62

221142241122 has 32 divisors (see below), whose sum is σ = 482726338560. Its totient is φ = 66980275920.

The previous prime is 221142241097. The next prime is 221142241147.

221142241122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (221142241097) and next prime (221142241147).

It is a junction number, because it is equal to n+sod(n) for n = 221142241092 and 221142241101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675922 + ... + 948237.

It is an arithmetic number, because the mean of its divisors is an integer number (15085198080).

Almost surely, 2221142241122 is an apocalyptic number.

221142241122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221142241122 is an abundant number, since it is smaller than the sum of its proper divisors (261584097438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221142241122 is a wasteful number, since it uses less digits than its factorization.

221142241122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626238.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 221142 and 241122, that added together give a palindrome (462264).

The spelling of 221142241122 in words is "two hundred twenty-one billion, one hundred forty-two million, two hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 2063 4126 6189 12378 22693 45386 68079 136158 1624159 3248318 4872477 9744954 17865749 35731498 53597247 107194494 3350640017 6701280034 10051920051 20103840102 36857040187 73714080374 110571120561 221142241122