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103104432234 = 232176111514799
BaseRepresentation
bin110000000000110000…
…0001100100001101010
3100212010112011211200100
41200001200030201222
53142124213312414
6115210541450230
710310011133226
oct1400140144152
9325115154610
10103104432234
113a7a9844a81
1217b95570976
139951a29cab
144dc148d786
152a36a5b609
hex180180c86a

103104432234 has 96 divisors (see below), whose sum is σ = 240670310400. Its totient is φ = 31781952000.

The previous prime is 103104432161. The next prime is 103104432239. The reversal of 103104432234 is 432234401301.

103104432234 is a `hidden beast` number, since 103 + 104 + 432 + 23 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103104432198 and 103104432207.

It is not an unprimeable number, because it can be changed into a prime (103104432239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21482167 + ... + 21486965.

It is an arithmetic number, because the mean of its divisors is an integer number (2506982400).

Almost surely, 2103104432234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103104432234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120335155200).

103104432234 is an abundant number, since it is smaller than the sum of its proper divisors (137565878166).

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

103104432234 is a wasteful number, since it uses less digits than its factorization.

103104432234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103104432234 its reverse (432234401301), we get a palindrome (535338833535).

The spelling of 103104432234 in words is "one hundred three billion, one hundred four million, four hundred thirty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 1151 2074 2302 3111 3453 4799 6222 6906 9333 9598 10359 14397 18666 19567 20718 28794 39134 43191 58701 70211 81583 86382 117402 140422 163166 176103 210633 244749 292739 352206 421266 489498 585478 631899 734247 878217 1193587 1263798 1468494 1756434 2387174 2634651 3580761 4976563 5269302 5523649 7161522 9953126 10742283 11047298 14929689 16570947 21484566 29859378 33141894 44789067 49712841 89578134 93902033 99425682 187804066 281706099 336942589 563412198 673885178 845118297 1010827767 1690236594 2021655534 3032483301 5728024013 6064966602 11456048026 17184072039 34368144078 51552216117 103104432234