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100104324134441 = 11247107164507549
BaseRepresentation
bin10110110000101101011010…
…101011100011011000101001
3111010102212202110120122211212
4112300231122223203120221
5101110102123434300231
6552523142555002505
730041204320512554
oct2660553253433051
9433385673518755
10100104324134441
1129995007294500
12b288a7b739435
1343b1a49775103
141aa110a27d69b
15b88e2345942b
hex5b0b5aae3629

100104324134441 has 24 divisors (see below), whose sum is σ = 113423349513600. Its totient is φ = 88235268445280.

The previous prime is 100104324134431. The next prime is 100104324134461. The reversal of 100104324134441 is 144431423401001.

It is not a de Polignac number, because 100104324134441 - 218 = 100104323872297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100104324134398 and 100104324134407.

It is not an unprimeable number, because it can be changed into a prime (100104324134431) 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, 81645266 + ... + 82862283.

It is an arithmetic number, because the mean of its divisors is an integer number (4725972896400).

Almost surely, 2100104324134441 is an apocalyptic number.

100104324134441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100104324134441 is a deficient number, since it is larger than the sum of its proper divisors (13319025379159).

100104324134441 is a wasteful number, since it uses less digits than its factorization.

100104324134441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164507725 (or 164507714 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 100104324134441 its reverse (144431423401001), we get a palindrome (244535747535442).

The spelling of 100104324134441 in words is "one hundred trillion, one hundred four billion, three hundred twenty-four million, one hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 11 47 107 121 517 1177 5029 5687 12947 55319 608509 164507549 1809583039 7731854803 17602307743 19905413429 85050402833 193625385173 827308463921 935554431163 2129879236903 9100393103131 100104324134441