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122311312221 = 376346543
BaseRepresentation
bin111000111101001010…
…0101000001101011101
3102200201002022102210210
41301322110220031131
54000443143442341
6132104455523033
711556663000000
oct1617224501535
9380632272723
10122311312221
114796560220a
121b855989479
13b6c2cc0437
145cc42bb537
1532acd5dc16
hex1c7a52835d

122311312221 has 28 divisors (see below), whose sum is σ = 190262359232. Its totient is φ = 69891976728.

The previous prime is 122311312213. The next prime is 122311312229. The reversal of 122311312221 is 122213113221.

It is an interprime number because it is at equal distance from previous prime (122311312213) and next prime (122311312229).

It is not a de Polignac number, because 122311312221 - 23 = 122311312213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122311312229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 179676 + ... + 526218.

Almost surely, 2122311312221 is an apocalyptic number.

It is an amenable number.

122311312221 is a deficient number, since it is larger than the sum of its proper divisors (67951047011).

122311312221 is an frugal number, since it uses more digits than its factorization.

122311312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346588 (or 346553 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 122311312221 its reverse (122213113221), we get a palindrome (244524425442).

The spelling of 122311312221 in words is "one hundred twenty-two billion, three hundred eleven million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 21 49 147 343 1029 2401 7203 16807 50421 117649 346543 352947 1039629 2425801 7277403 16980607 50941821 118864249 356592747 832049743 2496149229 5824348201 17473044603 40770437407 122311312221