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1141144100225 = 52176572585137
BaseRepresentation
bin10000100110110001011…
…111010001110110000001
311001002111021221121200122
4100212301133101312001
5122144030342201400
62232122342230025
7145305420544343
oct20466137216601
94032437847618
101141144100225
113aaa58105508
121651b2a25315
13837bcbac3cc
143d3359b3293
151ea3cb30685
hex109b17d1d81

1141144100225 has 12 divisors (see below), whose sum is σ = 1415099370924. Its totient is φ = 912863224320.

The previous prime is 1141144100203. The next prime is 1141144100251. The reversal of 1141144100225 is 5220014411411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1355123344 + 1139788976881 = 36812^2 + 1067609^2 .

It is not a de Polignac number, because 1141144100225 - 212 = 1141144096129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1141144100194 and 1141144100203.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 851144 + ... + 1733993.

It is an arithmetic number, because the mean of its divisors is an integer number (117924947577).

Almost surely, 21141144100225 is an apocalyptic number.

It is an amenable number.

1141144100225 is a deficient number, since it is larger than the sum of its proper divisors (273955270699).

1141144100225 is a wasteful number, since it uses less digits than its factorization.

1141144100225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602804 (or 2602799 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 1141144100225 its reverse (5220014411411), we get a palindrome (6361158511636).

The spelling of 1141144100225 in words is "one trillion, one hundred forty-one billion, one hundred forty-four million, one hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 17657 88285 441425 2585137 12925685 64628425 45645764009 228228820045 1141144100225