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132220304350461 = 32179919165753897
BaseRepresentation
bin11110000100000011110000…
…010001011101110011111101
3122100011010201100100200211100
4132010003300101131303331
5114312244140403203321
61145113100321443313
736564413254246545
oct3604036021356375
9570133640320740
10132220304350461
1139147352914238
12129b52204a0539
1358a14238a5382
1424916d55dc325
151044548334326
hex7840f045dcfd

132220304350461 has 48 divisors (see below), whose sum is σ = 192380416675200. Its totient is φ = 87504583233024.

The previous prime is 132220304350439. The next prime is 132220304350543. The reversal of 132220304350461 is 164053403022231.

132220304350461 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 20 + 30 + 43 + 504 + 61 = 666.

It is not a de Polignac number, because 132220304350461 - 218 = 132220304088317 is a prime.

It is a super-2 number, since 2×1322203043504612 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220304350661) 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, 2453176465 + ... + 2453230361.

It is an arithmetic number, because the mean of its divisors is an integer number (4007925347400).

Almost surely, 2132220304350461 is an apocalyptic number.

It is an amenable number.

132220304350461 is a deficient number, since it is larger than the sum of its proper divisors (60160112324739).

132220304350461 is a wasteful number, since it uses less digits than its factorization.

132220304350461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56658 (or 56655 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 132220304350461 its reverse (164053403022231), we get a palindrome (296273707372692).

The spelling of 132220304350461 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred four million, three hundred fifty thousand, four hundred sixty-one".

Divisors: 1 3 9 179 537 919 1611 1657 2757 4971 8271 14913 53897 161691 164501 296603 485073 493503 889809 1480509 1522783 2669427 4568349 9647563 13705047 28942689 49531343 86828067 89307329 148594029 267921987 272578157 445782087 803765961 817734471 2453203413 8866110397 15986011891 26598331191 47958035673 79794993573 82073435351 143874107019 246220306053 738660918159 14691144927829 44073434783487 132220304350461