Search a number
-
+
30100332021102 = 23272312238492713
BaseRepresentation
bin1101101100000010001111…
…00110010000010101101110
310221120120012220002112001200
412312001013212100111232
512421130434444133402
6144003522430350330
76224451200451240
oct666010746202556
9127516186075050
1030100332021102
11965552a791562
12346179035b3a6
1313a45ab97b685
14760c14558090
15372ea324a21c
hex1b604799056e

30100332021102 has 96 divisors (see below), whose sum is σ = 77838373536768. Its totient is φ = 8219450498688.

The previous prime is 30100332021101. The next prime is 30100332021107. The reversal of 30100332021102 is 20112023300103.

30100332021102 is a `hidden beast` number, since 30 + 100 + 3 + 320 + 211 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30100332021101) 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, 702103 + ... + 7790610.

It is an arithmetic number, because the mean of its divisors is an integer number (810816391008).

Almost surely, 230100332021102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100332021102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38919186768384).

30100332021102 is an abundant number, since it is smaller than the sum of its proper divisors (47738041515666).

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

30100332021102 is a wasteful number, since it uses less digits than its factorization.

30100332021102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493974 (or 8493971 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30100332021102 its reverse (20112023300103), we get a palindrome (50212355321205).

The spelling of 30100332021102 in words is "thirty trillion, one hundred billion, three hundred thirty-two million, twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1223 1449 2446 2898 3669 7338 8561 11007 17122 22014 25683 28129 51366 56258 77049 84387 154098 168774 196903 253161 393806 506322 590709 1181418 1772127 3544254 8492713 16985426 25478139 50956278 59448991 76434417 118897982 152868834 178346973 195332399 356693946 390664798 535040919 585997197 1070081838 1171994394 1367326793 1757991591 2734653586 3515983182 4101980379 8203960758 10386587999 12305941137 20773175998 24611882274 31159763997 62319527994 72706115993 93479291991 145412231986 186958583982 218118347979 238891523977 436236695958 477783047954 654355043937 716674571931 1308710087874 1433349143862 1672240667839 2150023715793 3344481335678 4300047431586 5016722003517 10033444007034 15050166010551 30100332021102