Search a number
-
+
104000345040123 = 3272298132015407
BaseRepresentation
bin10111101001011001110111…
…100111110110010011111011
3111122020100001212021002021200
4113221121313213312103323
5102112420201312240443
61005105033212105243
730622530334014300
oct2751316747662373
9448210055232250
10104000345040123
1130157331545574
12b7b7b69165223
13460526257c11c
141b97901ccb0a7
15c0544abd3dd3
hex5e96779f64fb

104000345040123 has 36 divisors (see below), whose sum is σ = 180774702519840. Its totient is φ = 57379500704736.

The previous prime is 104000345040107. The next prime is 104000345040161. The reversal of 104000345040123 is 321040543000401.

It is a happy number.

104000345040123 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 0 + 34 + 504 + 0 + 123 = 666.

It is not a de Polignac number, because 104000345040123 - 24 = 104000345040107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104000345040173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4065994915 + ... + 4066020492.

It is an arithmetic number, because the mean of its divisors is an integer number (5021519514440).

Almost surely, 2104000345040123 is an apocalyptic number.

104000345040123 is a deficient number, since it is larger than the sum of its proper divisors (76774357479717).

104000345040123 is a wasteful number, since it uses less digits than its factorization.

104000345040123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132015456 (or 8132015446 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 104000345040123 its reverse (321040543000401), we get a palindrome (425040888040524).

The spelling of 104000345040123 in words is "one hundred four trillion, three hundred forty-five million, forty thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 8132015407 24396046221 56924107849 73188138663 170772323547 235828446803 398468754943 512316970641 707485340409 1195406264829 1650799127621 2122456021227 3586218794487 4952397382863 11555593893347 14857192148589 34666781680041 104000345040123