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22401312141 = 3138313949787
BaseRepresentation
bin10100110111001110…
…001110010110001101
32010211012000120020110
4110313032032112031
5331334213442031
614142505510233
71422061003635
oct246716162615
963735016213
1022401312141
119555a5840a
1244121a2379
1321600328b0
1411271a76c5
158b19a0c46
hex53738e58d

22401312141 has 32 divisors (see below), whose sum is σ = 32788385280. Its totient is φ = 13521081024.

The previous prime is 22401312133. The next prime is 22401312179. The reversal of 22401312141 is 14121310422.

It is not a de Polignac number, because 22401312141 - 23 = 22401312133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22401112141) 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, 425050 + ... + 474836.

It is an arithmetic number, because the mean of its divisors is an integer number (1024637040).

Almost surely, 222401312141 is an apocalyptic number.

It is an amenable number.

22401312141 is a deficient number, since it is larger than the sum of its proper divisors (10387073139).

22401312141 is a wasteful number, since it uses less digits than its factorization.

22401312141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50025.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22401312141 its reverse (14121310422), we get a palindrome (36522622563).

The spelling of 22401312141 in words is "twenty-two billion, four hundred one million, three hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 13 39 83 139 249 417 1079 1807 3237 5421 11537 34611 49787 149361 149981 449943 647231 1941693 4132321 6920393 12396963 20761179 53720173 89965109 161160519 269895327 574392619 1723177857 7467104047 22401312141