Search a number
-
+
101304333353344 = 2711107672421499
BaseRepresentation
bin10111000010001011000000…
…110011011100000110000000
3111021200121012011122010210011
4113002023000303130012000
5101234232233314301334
6555242322425114304
730223665550543102
oct2702130063340600
9437617164563704
10101304333353344
112a307a211a7920
12b441560328994
13446ac5ac39c94
141b03227ac7572
15baa258d66564
hex5c22c0cdc180

101304333353344 has 64 divisors (see below), whose sum is σ = 222221857320000. Its totient is φ = 45617074424320.

The previous prime is 101304333353323. The next prime is 101304333353351. The reversal of 101304333353344 is 443353333403101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101304333353297 and 101304333353306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336060094 + ... + 336361405.

It is an arithmetic number, because the mean of its divisors is an integer number (3472216520625).

Almost surely, 2101304333353344 is an apocalyptic number.

It is an amenable number.

101304333353344 is an abundant number, since it is smaller than the sum of its proper divisors (120917523966656).

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

101304333353344 is a wasteful number, since it uses less digits than its factorization.

101304333353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672421631 (or 672421619 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 40.

Adding to 101304333353344 its reverse (443353333403101), we get a palindrome (544657666756445).

The spelling of 101304333353344 in words is "one hundred one trillion, three hundred four billion, three hundred thirty-three million, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 352 428 704 856 1177 1408 1712 2354 3424 4708 6848 9416 13696 18832 37664 75328 150656 672421499 1344842998 2689685996 5379371992 7396636489 10758743984 14793272978 21517487968 29586545956 43034975936 59173091912 71949100393 86069951872 118346183824 143898200786 236692367648 287796401572 473384735296 575592803144 791440104323 946769470592 1151185606288 1582880208646 2302371212576 3165760417292 4604742425152 6331520834584 9209484850304 12663041669168 25326083338336 50652166676672 101304333353344