Search a number
-
+
100135304324145 = 32519859136341461
BaseRepresentation
bin10110110001001010010001…
…001111100110010000110001
3111010112211201112021100201100
4112301022101033212100301
5101111104100401333040
6552545305043555013
730043352122003416
oct2661122117462061
9433484645240640
10100135304324145
11299a7164850572
12b292a8698ba69
1343b4945c2c3cc
141aa280895a10d
15b89b3814eb30
hex5b12913e6431

100135304324145 has 48 divisors (see below), whose sum is σ = 182915705419200. Its totient is φ = 50535780197760.

The previous prime is 100135304324141. The next prime is 100135304324179. The reversal of 100135304324145 is 541423403531001.

100135304324145 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 530 + 43 + 2 + 41 + 45 = 666.

It is not a de Polignac number, because 100135304324145 - 22 = 100135304324141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100135304324141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67436286 + ... + 68905175.

It is an arithmetic number, because the mean of its divisors is an integer number (3810743862900).

Almost surely, 2100135304324145 is an apocalyptic number.

100135304324145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100135304324145 is a deficient number, since it is larger than the sum of its proper divisors (82780401095055).

100135304324145 is a wasteful number, since it uses less digits than its factorization.

100135304324145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136342350 (or 136342347 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 100135304324145 its reverse (541423403531001), we get a palindrome (641558707855146).

The spelling of 100135304324145 in words is "one hundred trillion, one hundred thirty-five billion, three hundred four million, three hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 859 2577 4295 7731 12885 16321 38655 48963 81605 146889 244815 734445 136341461 409024383 681707305 1227073149 2045121915 2590487759 6135365745 7771463277 12952438795 23314389831 38857316385 116571949155 117117314999 351351944997 585586574995 1054055834991 1756759724985 2225228984981 5270279174955 6675686954943 11126144924905 20027060864829 33378434774715 100135304324145