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132220303455501 = 32731019257215249
BaseRepresentation
bin11110000100000011110000…
…001110000011010100001101
3122100011010201021200020011200
4132010003300032003110031
5114312244140141034001
61145113100250340113
736564413243531412
oct3604036016032415
9570133637606150
10132220303455501
11391473523628a8
12129b522012a639
1358a1423650c01
1424916d5448109
151044548209086
hex7840f038350d

132220303455501 has 48 divisors (see below), whose sum is σ = 195539986278000. Its totient is φ = 86068893081600.

The previous prime is 132220303455433. The next prime is 132220303455523. The reversal of 132220303455501 is 105554303022231.

132220303455501 is a `hidden beast` number, since 1 + 3 + 22 + 20 + 30 + 34 + 5 + 550 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10022732856900 + 122197570598601 = 3165870^2 + 11054301^2 .

It is not a de Polignac number, because 132220303455501 - 211 = 132220303453453 is a prime.

It is a super-2 number, since 2×1322203034555012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220303455001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614159125 + ... + 614374373.

It is an arithmetic number, because the mean of its divisors is an integer number (4073749714125).

Almost surely, 2132220303455501 is an apocalyptic number.

It is an amenable number.

132220303455501 is a deficient number, since it is larger than the sum of its proper divisors (63319682822499).

132220303455501 is a wasteful number, since it uses less digits than its factorization.

132220303455501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224686 (or 224683 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 132220303455501 its reverse (105554303022231), we get a palindrome (237774606477732).

The spelling of 132220303455501 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred three million, four hundred fifty-five thousand, five hundred one".

Divisors: 1 3 9 73 101 219 303 657 909 7373 9257 22119 27771 66357 83313 215249 645747 675761 934957 1937241 2027283 2804871 6081849 8414613 15713177 21740149 47139531 65220447 68251861 141418593 195661341 204755583 614266749 1587030877 1992559993 4761092631 5977679979 14283277893 17933039937 145456879489 201248559293 436370638467 603745677879 1309111915401 1811237033637 14691144828389 44073434485167 132220303455501