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30240322352031 = 3114783318173847
BaseRepresentation
bin1101110000000110111111…
…01010111111001110011111
310222001221120001121011100010
412320003133222333032133
512430424140010231111
6144152113505134303
76240535243566651
oct670033752771637
9128057501534303
1030240322352031
1196a9937671130
12348493a92a393
1313b485b53660c
147678d478a6d1
153769481abaa6
hex1b80dfabf39f

30240322352031 has 64 divisors (see below), whose sum is σ = 45477928452096. Its totient is φ = 17715596323200.

The previous prime is 30240322352011. The next prime is 30240322352057. The reversal of 30240322352031 is 13025322304203.

It is a happy number.

It is not a de Polignac number, because 30240322352031 - 210 = 30240322351007 is a prime.

It is a super-2 number, since 2×302403223520312 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30240322352031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30240322352011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409462750 + ... + 409536596.

It is an arithmetic number, because the mean of its divisors is an integer number (710592632064).

Almost surely, 230240322352031 is an apocalyptic number.

30240322352031 is a deficient number, since it is larger than the sum of its proper divisors (15237606100065).

30240322352031 is a wasteful number, since it uses less digits than its factorization.

30240322352031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77172.

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 30240322352031 its reverse (13025322304203), we get a palindrome (43265644656234).

The spelling of 30240322352031 in words is "thirty trillion, two hundred forty billion, three hundred twenty-two million, three hundred fifty-two thousand, thirty-one".

Divisors: 1 3 11 33 47 83 141 249 517 913 1551 2739 3181 3901 9543 11703 34991 42911 73847 104973 128733 149507 221541 264023 448521 792069 812317 1644577 2436951 2904253 3470809 4933731 6129301 8712759 10412427 12409081 18387903 37227243 38178899 67422311 114536697 136499891 202266933 234907307 288077147 409499673 704721921 864231441 2583980377 3168848617 7751941131 9506545851 11040643429 19497306481 33121930287 58491919443 121447077719 214470371291 364341233157 643411113873 916373404607 2749120213821 10080107450677 30240322352031