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132100122133 = 71923217310853
BaseRepresentation
bin111101100000111000…
…1111110011000010101
3110121222021200111121001
41323001301332120111
54131020112402013
6140404100023301
712354364340260
oct1730161763025
9417867614531
10132100122133
1151029090a61
1221728091b31
13c5c3006155
146572387cd7
153682401ddd
hex1ec1c7e615

132100122133 has 48 divisors (see below), whose sum is σ = 167102974080. Its totient is φ = 102002896512.

The previous prime is 132100122107. The next prime is 132100122137. The reversal of 132100122133 is 331221001231.

It is not a de Polignac number, because 132100122133 - 229 = 131563251221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 132100122133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100122137) 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, 12166335 + ... + 12177187.

It is an arithmetic number, because the mean of its divisors is an integer number (3481311960).

Almost surely, 2132100122133 is an apocalyptic number.

It is an amenable number.

132100122133 is a deficient number, since it is larger than the sum of its proper divisors (35002851947).

132100122133 is a wasteful number, since it uses less digits than its factorization.

132100122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11098 (or 11075 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 132100122133 its reverse (331221001231), we get a palindrome (463321123364).

The spelling of 132100122133 in words is "one hundred thirty-two billion, one hundred million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 7 19 23 133 161 173 437 529 1211 3059 3287 3703 3979 10051 10853 23009 27853 70357 75601 75971 91517 206207 249619 529207 640619 1443449 1738823 1747333 1877569 4742761 5741237 12171761 13142983 33199327 35673811 40188659 43184087 109083503 249716677 302288609 763584521 820497653 993234001 5743483571 6952638007 18871446019 132100122133