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2320222000122 = 23213173715763877
BaseRepresentation
bin100001110000111000000…
…000100001001111111010
322012210220021000220212200
4201300320000201033322
5301003303313000442
64533521213451030
7326426156411115
oct41607000411772
98183807026780
102320222000122
11815000916084
123158117a0a76
1313aa46a58810
148042958557c
154054ab5a34c
hex21c380213fa

2320222000122 has 96 divisors (see below), whose sum is σ = 5887240933392. Its totient is φ = 653759465472.

The previous prime is 2320222000097. The next prime is 2320222000147. The reversal of 2320222000122 is 2210002220232.

2320222000122 is a `hidden beast` number, since 2 + 320 + 2 + 220 + 0 + 0 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (2320222000097) and next prime (2320222000147).

It can be written as a sum of positive squares in 8 ways, for example, as 865474835481 + 1454747164641 = 930309^2 + 1206129^2 .

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 = 2320222000095 and 2320222000104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7734753 + ... + 8029124.

Almost surely, 22320222000122 is an apocalyptic number.

2320222000122 is an abundant number, since it is smaller than the sum of its proper divisors (3567018933270).

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

2320222000122 is a wasteful number, since it uses less digits than its factorization.

2320222000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15763952 (or 15763949 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2320222000122 its reverse (2210002220232), we get a palindrome (4530224220354).

The spelling of 2320222000122 in words is "two trillion, three hundred twenty billion, two hundred twenty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 17 18 26 34 37 39 51 74 78 102 111 117 153 221 222 234 306 333 442 481 629 663 666 962 1258 1326 1443 1887 1989 2886 3774 3978 4329 5661 8177 8658 11322 16354 24531 49062 73593 147186 15763877 31527754 47291631 94583262 141874893 204930401 267985909 283749786 409860802 535971818 583263449 614791203 803957727 1166526898 1229582406 1607915454 1749790347 1844373609 2411873181 3483816817 3499580694 3688747218 4823746362 5249371041 6967633634 7582424837 9915478633 10451450451 10498742082 15164849674 19830957266 20902900902 22747274511 29746435899 31354351353 45494549022 59492871798 62708702706 68241823533 89239307697 128901222229 136483647066 178478615394 257802444458 386703666687 773407333374 1160111000061 2320222000122