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132111021133 = 71331173270701
BaseRepresentation
bin111101100001001101…
…1100011010001001101
3110122000001012020012201
41323002123203101031
54131030410134013
6140405125401501
712354556102630
oct1730233432115
9418001166181
10132111021133
11510342555a3
122172b869291
13c5c5350c70
1465739c3c17
1536833563dd
hex1ec26e344d

132111021133 has 32 divisors (see below), whose sum is σ = 168814098432. Its totient is φ = 100570464000.

The previous prime is 132111021131. The next prime is 132111021157. The reversal of 132111021133 is 331120111231.

It is a cyclic number.

It is not a de Polignac number, because 132111021133 - 21 = 132111021131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132111021133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132111021131) 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 31 ways as a sum of consecutive naturals, for example, 352683 + ... + 623383.

It is an arithmetic number, because the mean of its divisors is an integer number (5275440576).

Almost surely, 2132111021133 is an apocalyptic number.

132111021133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132111021133 is a deficient number, since it is larger than the sum of its proper divisors (36703077299).

132111021133 is a wasteful number, since it uses less digits than its factorization.

132111021133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270925.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 132111021133 its reverse (331120111231), we get a palindrome (463231132364).

The spelling of 132111021133 in words is "one hundred thirty-two billion, one hundred eleven million, twenty-one thousand, one hundred thirty-three".

Divisors: 1 7 13 31 91 173 217 403 1211 2249 2821 5363 15743 37541 69719 270701 488033 1894907 3519113 8391731 24633791 46831273 58742117 109092503 327818911 608806549 763647521 1451769463 4261645843 10162386241 18873003019 132111021133