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132030030330 = 232511613217559
BaseRepresentation
bin111101011110110011…
…0100110000111111010
3110121210101210110201100
41322331212212013322
54130344141432310
6140353113432230
712352553512062
oct1727546460772
9417711713640
10132030030330
1150aa2567a50
122170870b676
13c5b1634903
146566d403a2
15367b1a8ec0
hex1ebd9a61fa

132030030330 has 96 divisors (see below), whose sum is σ = 375097806720. Its totient is φ = 31954919040.

The previous prime is 132030030329. The next prime is 132030030359. The reversal of 132030030330 is 33030030231.

132030030330 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 300 + 30 + 330 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498091 + ... + 715649.

It is an arithmetic number, because the mean of its divisors is an integer number (3907268820).

Almost surely, 2132030030330 is an apocalyptic number.

132030030330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132030030330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187548903360).

132030030330 is an abundant number, since it is smaller than the sum of its proper divisors (243067776390).

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

132030030330 is a wasteful number, since it uses less digits than its factorization.

132030030330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218196 (or 218193 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 132030030330 its reverse (33030030231), we get a palindrome (165060060561).

Subtracting from 132030030330 its reverse (33030030231), we obtain a palindrome (99000000099).

The spelling of 132030030330 in words is "one hundred thirty-two billion, thirty million, thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 613 990 1226 1839 3065 3678 5517 6130 6743 9195 11034 13486 18390 20229 27585 33715 40458 55170 60687 67430 101145 121374 202290 217559 303435 435118 606870 652677 1087795 1305354 1958031 2175590 2393149 3263385 3916062 4786298 6526770 7179447 9790155 11965745 14358894 19580310 21538341 23931490 35897235 43076682 71794470 107691705 133363667 215383410 266727334 400091001 666818335 800182002 1200273003 1333636670 1467000337 2000455005 2400546006 2934000674 4000910010 4401001011 6001365015 7335001685 8802002022 12002730030 13203003033 14670003370 22005005055 26406006066 44010010110 66015015165 132030030330