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132205413321315 = 32520699907143329
BaseRepresentation
bin11110000011110101111000…
…101100101100101001100011
3122100002201021120021001001100
4132003311320230230221203
5114312023141302240230
61145102154535205443
736563345246504445
oct3603657054545143
9570081246231040
10132205413321315
1139141001260684
12129b2365516883
13589cbbc7c1119
142490ac1a62495
151043e75d97660
hex783d78b2ca63

132205413321315 has 48 divisors (see below), whose sum is σ = 229291548314400. Its totient is φ = 70467869362176.

The previous prime is 132205413321313. The next prime is 132205413321323. The reversal of 132205413321315 is 513123314502231.

132205413321315 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 5 + 4 + 1 + 332 + 1 + 315 = 666.

It is not a de Polignac number, because 132205413321315 - 21 = 132205413321313 is a prime.

It is a super-2 number, since 2×1322054133213152 (a number of 29 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 132205413321315.

It is not an unprimeable number, because it can be changed into a prime (132205413321313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922319571 + ... + 922462899.

It is an arithmetic number, because the mean of its divisors is an integer number (4776907256550).

Almost surely, 2132205413321315 is an apocalyptic number.

132205413321315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132205413321315 is a deficient number, since it is larger than the sum of its proper divisors (97086134993085).

132205413321315 is a wasteful number, since it uses less digits than its factorization.

132205413321315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155316 (or 155313 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 132205413321315 its reverse (513123314502231), we get a palindrome (645328727823546).

The spelling of 132205413321315 in words is "one hundred thirty-two trillion, two hundred five billion, four hundred thirteen million, three hundred twenty-one thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 45 2069 6207 9907 10345 18621 29721 31035 49535 89163 93105 143329 148605 429987 445815 716645 1289961 2149935 6449805 20497583 61492749 102487915 184478247 296547701 307463745 889643103 922391235 1419960403 1482738505 2668929309 4259881209 4448215515 7099802015 12779643627 13344646545 21299406045 63898218135 2937898073807 8813694221421 14689490369035 26441082664263 44068471107105 132205413321315