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132133313295 = 32523314118227
BaseRepresentation
bin111101100001111000…
…0100101101100001111
3110122001121010210022100
41323003300211230033
54131102112011140
6140411243250143
712355246426434
oct1730360455417
9418047123270
10132133313295
11510458a0a75
1221737219953
13c5c9b577a9
146576947b8b
1536852ab530
hex1ec3c25b0f

132133313295 has 48 divisors (see below), whose sum is σ = 246698330112. Its totient is φ = 65232699840.

The previous prime is 132133313287. The next prime is 132133313303. The reversal of 132133313295 is 592313331231.

132133313295 is a `hidden beast` number, since 1 + 3 + 21 + 33 + 313 + 295 = 666.

It is an interprime number because it is at equal distance from previous prime (132133313287) and next prime (132133313303).

It is not a de Polignac number, because 132133313295 - 23 = 132133313287 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027029 + ... + 2091198.

It is an arithmetic number, because the mean of its divisors is an integer number (5139548544).

Almost surely, 2132133313295 is an apocalyptic number.

132133313295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132133313295 is a deficient number, since it is larger than the sum of its proper divisors (114565016817).

132133313295 is a wasteful number, since it uses less digits than its factorization.

132133313295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118292 (or 4118289 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The spelling of 132133313295 in words is "one hundred thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 23 31 45 69 93 115 155 207 279 345 465 713 1035 1395 2139 3565 6417 10695 32085 4118227 12354681 20591135 37064043 61773405 94719221 127665037 185320215 284157663 382995111 473596105 638325185 852472989 1148985333 1420788315 1914975555 2936295851 4262364945 5744926665 8808887553 14681479255 26426662659 44044437765 132133313295