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1013441232441 = 311557194928289
BaseRepresentation
bin11101011111101011100…
…11011111111000111001
310120212212110110210001210
432233311303133320321
5113101011423414231
62053322442433333
7133135006225431
oct16576563377071
93525773423053
101013441232441
11360886178860
121444b3502849
137474abb7611
143709d62b2c1
151b5667c3a46
hexebf5cdfe39

1013441232441 has 32 divisors (see below), whose sum is σ = 1477552752000. Its totient is φ = 612767866880.

The previous prime is 1013441232437. The next prime is 1013441232451. The reversal of 1013441232441 is 1442321443101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1013441232441 - 22 = 1013441232437 is a prime.

It is a super-2 number, since 2×10134412324412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013441232399 and 1013441232408.

It is not an unprimeable number, because it can be changed into a prime (1013441232451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35810425 + ... + 35838713.

It is an arithmetic number, because the mean of its divisors is an integer number (46173523500).

Almost surely, 21013441232441 is an apocalyptic number.

1013441232441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013441232441 is a deficient number, since it is larger than the sum of its proper divisors (464111519559).

1013441232441 is a wasteful number, since it uses less digits than its factorization.

1013441232441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30809.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1013441232441 its reverse (1442321443101), we get a palindrome (2455762675542).

The spelling of 1013441232441 in words is "one trillion, thirteen billion, four hundred forty-one million, two hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 11 33 557 1671 1949 5847 6127 18381 21439 28289 64317 84867 311179 933537 1085593 3256779 11941523 15756973 35824569 47270919 55135261 165405783 173326703 519980109 606487871 1819463613 30710340377 92131021131 337813744147 1013441232441