Search a number
-
+
30201323133132 = 223217130337873037
BaseRepresentation
bin1101101110111110010110…
…01000110001100011001100
310221221012220010200120102100
412313133023020301203030
512424304302210230012
6144122144000355100
76234654640652214
oct667371310614314
9127835803616370
1030201323133132
11969434461a808
123479276015a90
1313b0c84905928
14765a75091244
153759144ac8dc
hex1b77cb2318cc

30201323133132 has 72 divisors (see below), whose sum is σ = 80894991262176. Its totient is φ = 9467653031424.

The previous prime is 30201323133103. The next prime is 30201323133187. The reversal of 30201323133132 is 23133132310203.

30201323133132 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 1 + 32 + 313 + 313 + 2 = 666.

It is a super-2 number, since 2×302013231331322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30201323133096 and 30201323133105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18139083 + ... + 19733954.

It is an arithmetic number, because the mean of its divisors is an integer number (1123541545308).

Almost surely, 230201323133132 is an apocalyptic number.

It is an amenable number.

30201323133132 is an abundant number, since it is smaller than the sum of its proper divisors (50693668129044).

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

30201323133132 is a wasteful number, since it uses less digits than its factorization.

30201323133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37874367 (or 37874362 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 30201323133132 its reverse (23133132310203), we get a palindrome (53334455443335).

The spelling of 30201323133132 in words is "thirty trillion, two hundred one billion, three hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1303 2606 3909 5212 7818 11727 15636 22151 23454 44302 46908 66453 88604 132906 199359 265812 398718 797436 37873037 75746074 113619111 151492148 227238222 340857333 454476444 643841629 681714666 1287683258 1363429332 1931524887 2575366516 3863049774 5794574661 7726099548 11589149322 23178298644 49348567211 98697134422 148045701633 197394268844 296091403266 444137104899 592182806532 838925642587 888274209798 1677851285174 1776548419596 2516776927761 3355702570348 5033553855522 7550330783283 10067107711044 15100661566566 30201323133132