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10222222122 = 2327229213781
BaseRepresentation
bin10011000010100101…
…01011101100101010
3222101101220200120100
421201102223230222
5131413342101442
64410201410230
7511213311600
oct114122535452
928341820510
1010222222122
1143761a5862
121b93499976
13c6ba55458
146cd88b870
153ec65684c
hex2614abb2a

10222222122 has 108 divisors (see below), whose sum is σ = 26685163206. Its totient is φ = 2819718720.

The previous prime is 10222222121. The next prime is 10222222123. The reversal of 10222222122 is 22122222201.

It is an interprime number because it is at equal distance from previous prime (10222222121) and next prime (10222222123).

It can be written as a sum of positive squares in 3 ways, for example, as 9133816041 + 1088406081 = 95571^2 + 32991^2 .

It is a super-2 number, since 2×102222221222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10222222095 and 10222222104.

It is not an unprimeable number, because it can be changed into a prime (10222222121) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 734872 + ... + 748652.

Almost surely, 210222222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342581603).

10222222122 is an abundant number, since it is smaller than the sum of its proper divisors (16462941084).

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

10222222122 is a wasteful number, since it uses less digits than its factorization.

10222222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13861 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222222122 its reverse (22122222201), we get a palindrome (32344444323).

The spelling of 10222222122 in words is "ten billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 841 882 1218 1421 1682 1827 2523 2842 3654 4263 5046 5887 7569 8526 11774 12789 13781 15138 17661 25578 27562 35322 41209 41343 52983 82418 82686 96467 105966 123627 124029 192934 247254 248058 289401 370881 399649 578802 675269 741762 799298 868203 1198947 1350538 1736406 2025807 2397894 2797543 3596841 4051614 5595086 6077421 7193682 8392629 11589821 12154842 16785258 19582801 23179642 25177887 34769463 39165602 50355774 58748403 69538926 81128747 104308389 117496806 162257494 176245209 208616778 243386241 352490418 486772482 567901229 730158723 1135802458 1460317446 1703703687 3407407374 5111111061 10222222122