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132141133101 = 31943127439967
BaseRepresentation
bin111101100010000111…
…0011010110100101101
3110122002010212002001210
41323010032122310231
54131111112224401
6140412123025033
712355403045625
oct1730416326455
9418063762053
10132141133101
115104a25211a
122173996b179
13c5cb664bb3
1465779c1885
153685d034d6
hex1ec439ad2d

132141133101 has 64 divisors (see below), whose sum is σ = 191902515200. Its totient is φ = 80607151296.

The previous prime is 132141133087. The next prime is 132141133153. The reversal of 132141133101 is 101331141231.

It is not a de Polignac number, because 132141133101 - 26 = 132141133037 is a prime.

It is a super-2 number, since 2×1321411331012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132141133601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136650120 + ... + 136651086.

It is an arithmetic number, because the mean of its divisors is an integer number (2998476800).

Almost surely, 2132141133101 is an apocalyptic number.

It is an amenable number.

132141133101 is a deficient number, since it is larger than the sum of its proper divisors (59761382099).

132141133101 is a wasteful number, since it uses less digits than its factorization.

132141133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 132141133101 its reverse (101331141231), we get a palindrome (233472274332).

The spelling of 132141133101 in words is "one hundred thirty-two billion, one hundred forty-one million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 3 19 43 57 127 129 381 439 817 967 1317 2413 2451 2901 5461 7239 8341 16383 18373 18877 25023 41581 55119 55753 56631 103759 122809 124743 167259 311277 358663 368427 424513 790039 1059307 1075989 1273539 2333371 2370117 2397379 3177921 5280787 7000113 7192137 8065747 15842361 18254059 24197241 45550201 53913151 54762177 100334953 136650603 161739453 301004859 346827121 1024349869 1040481363 2318265493 3073049607 6954796479 44047044367 132141133101