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1431222221341 = 112791732233881
BaseRepresentation
bin10100110100111011011…
…111011111101000011101
312001211020100002222100001
4110310323133133220131
5141422120342040331
63013254443134301
7205255010104303
oct24647337375035
95054210088301
101431222221341
11501a836a5300
121b1469514391
13a4c6b273963
144d3b30ca273
1527369213561
hex14d3b7dfa1d

1431222221341 has 48 divisors (see below), whose sum is σ = 1609883412480. Its totient is φ = 1271160633600.

The previous prime is 1431222221329. The next prime is 1431222221389.

1431222221341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1431222221341 - 231 = 1429074737693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431222221321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368774721 + ... + 368778601.

It is an arithmetic number, because the mean of its divisors is an integer number (33539237760).

Almost surely, 21431222221341 is an apocalyptic number.

1431222221341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1431222221341 is a deficient number, since it is larger than the sum of its proper divisors (178661191139).

1431222221341 is a wasteful number, since it uses less digits than its factorization.

1431222221341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4367 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The spelling of 1431222221341 in words is "one trillion, four hundred thirty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 11 79 121 173 223 869 1903 2453 3881 9559 13667 17617 20933 26983 38579 42691 150337 193787 306599 424369 469601 671413 865463 1653707 2131657 3047741 3372589 4668059 7385543 9520093 33525151 37098479 53041627 68371577 81240973 104721023 149725099 368776661 583457897 752087347 1646976089 6418036867 8272960817 11828282821 18116736979 130111111031 1431222221341