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101332412304 = 24343167293983
BaseRepresentation
bin101111001011111100…
…0011110011110010000
3100200120000210220022120
41132113320132132100
53130012044143204
6114315041134240
710215053202324
oct1362770363620
9320500726276
10101332412304
1139a7a5611a2
121778002a380
13972b8856a6
144c93dbb984
1529811cd6d9
hex1797e1e790

101332412304 has 80 divisors (see below), whose sum is σ = 269468086272. Its totient is φ = 32794280064.

The previous prime is 101332412297. The next prime is 101332412317. The reversal of 101332412304 is 403214233101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197697 + ... + 491679.

Almost surely, 2101332412304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101332412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134734043136).

101332412304 is an abundant number, since it is smaller than the sum of its proper divisors (168135673968).

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

101332412304 is a wasteful number, since it uses less digits than its factorization.

101332412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294204 (or 294198 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101332412304 its reverse (403214233101), we get a palindrome (504546645405).

The spelling of 101332412304 in words is "one hundred one billion, three hundred thirty-two million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 167 172 258 334 344 501 516 668 688 1002 1032 1336 2004 2064 2672 4008 7181 8016 14362 21543 28724 43086 57448 86172 114896 172344 293983 344688 587966 881949 1175932 1763898 2351864 3527796 4703728 7055592 12641269 14111184 25282538 37923807 49095161 50565076 75847614 98190322 101130152 147285483 151695228 196380644 202260304 294570966 303390456 392761288 589141932 606780912 785522576 1178283864 2111091923 2356567728 4222183846 6333275769 8444367692 12666551538 16888735384 25333103076 33777470768 50666206152 101332412304