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2251563338141 = 132373531020049
BaseRepresentation
bin100000110000111011101…
…000100000100110011101
321222020200022122111211222
4200300323220200212131
5243342200203310031
64442204240223125
7321445560411665
oct40607350404635
97866608574758
102251563338141
11798978896127
1230445000aaa5
13134424490a00
147ad94b711a5
153d87d1a2e7b
hex20c3ba2099d

2251563338141 has 24 divisors (see below), whose sum is σ = 2511073405800. Its totient is φ = 2016463527936.

The previous prime is 2251563338093. The next prime is 2251563338231. The reversal of 2251563338141 is 1418333651522.

It can be written as a sum of positive squares in 12 ways, for example, as 916718162116 + 1334845176025 = 957454^2 + 1155355^2 .

It is a de Polignac number, because none of the positive numbers 2k-2251563338141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2251563338092 and 2251563338101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251563335141) 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, 1697285 + ... + 2717333.

It is an arithmetic number, because the mean of its divisors is an integer number (104628058575).

Almost surely, 22251563338141 is an apocalyptic number.

It is an amenable number.

2251563338141 is a deficient number, since it is larger than the sum of its proper divisors (259510067659).

2251563338141 is a wasteful number, since it uses less digits than its factorization.

2251563338141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020465 (or 1020452 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

Adding to 2251563338141 its reverse (1418333651522), we get a palindrome (3669896989663).

The spelling of 2251563338141 in words is "two trillion, two hundred fifty-one billion, five hundred sixty-three million, three hundred thirty-eight thousand, one hundred forty-one".

Divisors: 1 13 37 169 353 481 4589 6253 13061 59657 169793 1020049 2207309 13260637 37741813 172388281 360077297 490643569 4681004861 6378366397 13322859989 60853063193 173197179857 2251563338141