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1100340405136 = 24764164723689
BaseRepresentation
bin10000000000110001011…
…001100010001110010000
310220012011121121010210101
4100000301121202032100
5121011444120431021
62201253413342144
7142332314060230
oct20006131421620
93805147533711
101100340405136
11394719522455
12159305937954
137c9b948212b
143b384797cc0
151d9507e1a91
hex10031662390

1100340405136 has 80 divisors (see below), whose sum is σ = 2444143921920. Its totient is φ = 470091202560.

The previous prime is 1100340405133. The next prime is 1100340405169. The reversal of 1100340405136 is 6315040430011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1100340405133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46437580 + ... + 46461268.

It is an arithmetic number, because the mean of its divisors is an integer number (30551799024).

Almost surely, 21100340405136 is an apocalyptic number.

1100340405136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1100340405136 is an abundant number, since it is smaller than the sum of its proper divisors (1343803516784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100340405136 is a wasteful number, since it uses less digits than its factorization.

1100340405136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24992 (or 24986 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1100340405136 its reverse (6315040430011), we get a palindrome (7415380835147).

The spelling of 1100340405136 in words is "one trillion, one hundred billion, three hundred forty million, four hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 641 647 1282 1294 2564 2588 4487 4529 5128 5176 8974 9058 10256 10352 17948 18116 23689 35896 36232 47378 71792 72464 94756 165823 189512 331646 379024 414727 663292 829454 1326584 1658908 2653168 2903089 3317816 5806178 6635632 11612356 15184649 15326783 23224712 30369298 30653566 46449424 60738596 61307132 106292543 107287481 121477192 122614264 212585086 214574962 242954384 245228528 425170172 429149924 850340344 858299848 1700680688 1716599696 9824467903 19648935806 39297871612 68771275321 78595743224 137542550642 157191486448 275085101284 550170202568 1100340405136