Search a number
-
+
100302300234 = 232711311793347
BaseRepresentation
bin101110101101001111…
…0111010010001001010
3100120220020110210012200
41131122132322101022
53120404342101414
6114024522221030
710150404325203
oct1353236722112
9316806423180
10100302300234
11395a1040804
1217533054776
1395c6334516
144bd72725aa
152920a50109
hex175a7ba44a

100302300234 has 96 divisors (see below), whose sum is σ = 223372131840. Its totient is φ = 32519104800.

The previous prime is 100302300173. The next prime is 100302300239. The reversal of 100302300234 is 432003203001.

100302300234 is a `hidden beast` number, since 100 + 30 + 2 + 300 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100302300239) 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, 29966149 + ... + 29969495.

It is an arithmetic number, because the mean of its divisors is an integer number (2326793040).

Almost surely, 2100302300234 is an apocalyptic number.

100302300234 is an abundant number, since it is smaller than the sum of its proper divisors (123069831606).

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

100302300234 is a wasteful number, since it uses less digits than its factorization.

100302300234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100302300234 its reverse (432003203001), we get a palindrome (532305503235).

The spelling of 100302300234 in words is "one hundred billion, three hundred two million, three hundred thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 71 131 142 179 213 262 358 393 426 537 639 786 1074 1179 1278 1611 2358 3222 3347 6694 9301 10041 12709 18602 20082 23449 25418 27903 30123 38127 46898 55806 60246 70347 76254 83709 114381 140694 167418 211041 228762 237637 422082 438457 475274 599113 712911 876914 1198226 1315371 1425822 1664879 1797339 2138733 2630742 3329758 3594678 3946113 4277466 4994637 5392017 7892226 9989274 10784034 14983911 29967822 31130447 42537023 62260894 78483803 85074046 93391341 127611069 156967606 186782682 235451409 255222138 280174023 382833207 470902818 560348046 706354227 765666414 1412708454 5572350013 11144700026 16717050039 33434100078 50151150117 100302300234