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2422204312131 = 323316171317817
BaseRepresentation
bin100011001111110110101…
…000001010101001000011
322120120010120202010222200
4203033312220022221003
5304141133300442011
65052424552404243
7336666323641662
oct43176650125103
98516116663880
102422204312131
1185428420756a
123315333a6683
1314754a15b636
14853419b8dd9
1543018e11856
hex233f6a0aa43

2422204312131 has 24 divisors (see below), whose sum is σ = 3515000137584. Its totient is φ = 1607313818880.

The previous prime is 2422204312097. The next prime is 2422204312147. The reversal of 2422204312131 is 1312134022242.

2422204312131 is a `hidden beast` number, since 2 + 4 + 2 + 220 + 431 + 2 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 2422204312131 - 214 = 2422204295747 is a prime.

It is a super-2 number, since 2×24222043121312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2422204312095 and 2422204312104.

It is not an unprimeable number, because it can be changed into a prime (2422204312631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179135 + ... + 2496951.

It is an arithmetic number, because the mean of its divisors is an integer number (146458339066).

Almost surely, 22422204312131 is an apocalyptic number.

2422204312131 is a deficient number, since it is larger than the sum of its proper divisors (1092795825453).

2422204312131 is a wasteful number, since it uses less digits than its factorization.

2422204312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318771 (or 1318768 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2422204312131 its reverse (1312134022242), we get a palindrome (3734338334373).

The spelling of 2422204312131 in words is "two trillion, four hundred twenty-two billion, two hundred four million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 331 617 993 1851 2979 5553 204227 612681 1317817 1838043 3953451 11860353 436197427 813093089 1308592281 2439279267 3925776843 7317837801 269133812459 807401437377 2422204312131