Search a number
-
+
30031041042 = 232171096911303
BaseRepresentation
bin11011111101111111…
…010101001000010010
32212111220200221200100
4123331333111020102
5443000421303132
621443541233230
72112124431342
oct337577251022
985456627610
1030031041042
1111810815692
1259a1402816
132aa7942b92
14164c608d22
15bab70b37c
hex6fdfd5212

30031041042 has 96 divisors (see below), whose sum is σ = 69680856960. Its totient is φ = 9314403840.

The previous prime is 30031041013. The next prime is 30031041043. The reversal of 30031041042 is 24014013003.

30031041042 is a `hidden beast` number, since 300 + 310 + 4 + 10 + 42 = 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 (30031041043) 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, 23046963 + ... + 23048265.

It is an arithmetic number, because the mean of its divisors is an integer number (725842260).

Almost surely, 230031041042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30031041042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34840428480).

30031041042 is an abundant number, since it is smaller than the sum of its proper divisors (39649815918).

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

30031041042 is a wasteful number, since it uses less digits than its factorization.

30031041042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30031041042 its reverse (24014013003), we get a palindrome (54045054045).

The spelling of 30031041042 in words is "thirty billion, thirty-one million, forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 691 981 1303 1382 1853 1962 2073 2606 3706 3909 4146 5559 6219 7818 11118 11727 11747 12438 16677 22151 23454 23494 33354 35241 44302 66453 70482 75319 105723 132906 142027 150638 199359 211446 225957 284054 398718 426081 451914 677871 852162 900373 1278243 1280423 1355742 1800746 2414459 2556486 2560846 2701119 3841269 4828918 5402238 7243377 7682538 8103357 11523807 14486754 15306341 16206714 21730131 23047614 30612682 43460262 45919023 91838046 98140657 137757069 196281314 275514138 294421971 588843942 883265913 1668391169 1766531826 3336782338 5005173507 10010347014 15015520521 30031041042