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144320222112131 = 13113257400795401
BaseRepresentation
bin100000110100001000101011…
…100100101010100110000011
3200220222212201102100000002102
4200310020223210222212003
5122404020303330042011
61230535443400141015
742253535433242642
oct4064105344524603
9626885642300072
10144320222112131
1141a91953a6427a
121422a28646776b
13626b452a3c550
14278d1c9351359
1511a417814773b
hex83422b92a983

144320222112131 has 32 divisors (see below), whose sum is σ = 157448230869888. Its totient is φ = 131491764633600.

The previous prime is 144320222112037. The next prime is 144320222112149. The reversal of 144320222112131 is 131211222023441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144320222112131 is a prime.

It is a super-2 number, since 2×1443202221121312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144320222112094 and 144320222112103.

It is not an unprimeable number, because it can be changed into a prime (144320222115131) 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 31 ways as a sum of consecutive naturals, for example, 1512727031 + ... + 1512822431.

It is an arithmetic number, because the mean of its divisors is an integer number (4920257214684).

Almost surely, 2144320222112131 is an apocalyptic number.

144320222112131 is a deficient number, since it is larger than the sum of its proper divisors (13128008757757).

144320222112131 is a wasteful number, since it uses less digits than its factorization.

144320222112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99791.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 144320222112131 its reverse (131211222023441), we get a palindrome (275531444135572).

The spelling of 144320222112131 in words is "one hundred forty-four trillion, three hundred twenty billion, two hundred twenty-two million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 13 113 257 1469 3341 4007 29041 52091 95401 377533 452791 1029799 1240213 5886283 10780313 13387387 24518057 116367287 140144069 318734741 382271807 1512774731 2770540441 4969533491 36017025733 43196714191 98243854399 561557284483 1277170107187 11101555547087 144320222112131