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30332202133032 = 2334172753467877
BaseRepresentation
bin1101110010110010001000…
…01000100010011000101000
310222101201201022121122020000
412321121010020202120220
512433430322221224112
6144302230555503000
76250300150052412
oct671310410423050
9128351638548200
1030332202133032
1197348a6388538
12349a701157a60
1313c0411930437
1476c12d1ab9b2
153790245a07dc
hex1b9644222628

30332202133032 has 80 divisors (see below), whose sum is σ = 89955795574260. Its totient is φ = 9515984979456.

The previous prime is 30332202133031. The next prime is 30332202133039. The reversal of 30332202133032 is 23033120223303.

30332202133032 is a `hidden beast` number, since 3 + 0 + 3 + 322 + 0 + 2 + 1 + 330 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29973719730276 + 358482402756 = 5474826^2 + 598734^2 .

It is a super-2 number, since 2×303322021330322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30332202132987 and 30332202133005.

It is not an unprimeable number, because it can be changed into a prime (30332202133031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1376722923 + ... + 1376744954.

Almost surely, 230332202133032 is an apocalyptic number.

It is an amenable number.

30332202133032 is an abundant number, since it is smaller than the sum of its proper divisors (59623593441228).

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

30332202133032 is a wasteful number, since it uses less digits than its factorization.

30332202133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753467912 (or 2753467899 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 30332202133032 its reverse (23033120223303), we get a palindrome (53365322356335).

The spelling of 30332202133032 in words is "thirty trillion, three hundred thirty-two billion, two hundred two million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 2753467877 5506935754 8260403631 11013871508 16520807262 22027743016 24781210893 33041614524 46808953909 49562421786 66083229048 74343632679 93617907818 99124843572 140426861727 148687265358 187235815636 198249687144 223030898037 280853723454 297374530716 374471631272 421280585181 446061796074 561707446908 594749061432 842561170362 892123592148 1123414893816 1263841755543 1685122340724 1784247184296 2527683511086 3370244681448 3791525266629 5055367022172 7583050533258 10110734044344 15166101066516 30332202133032