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132200123133001 = 711171992771832143
BaseRepresentation
bin11110000011110000111101…
…011000001110110001001001
3122100002012121212211121221211
4132003300331120032301021
5114311431323010224001
61145055522000133121
736563100201604060
oct3603607530166111
9570065555747854
10132200123133001
1139139837070920
12129b13299071a1
13589c5587bb691
14249073d2231d7
151043c6671e351
hex783c3d60ec49

132200123133001 has 64 divisors (see below), whose sum is σ = 176026532659200. Its totient is φ = 96117980175360.

The previous prime is 132200123132993. The next prime is 132200123133031. The reversal of 132200123133001 is 100331321002231.

It is not a de Polignac number, because 132200123133001 - 23 = 132200123132993 is a prime.

It is a super-3 number, since 3×1322001231330013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132200123133031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71239936 + ... + 73072078.

It is an arithmetic number, because the mean of its divisors is an integer number (2750414572800).

Almost surely, 2132200123133001 is an apocalyptic number.

132200123133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132200123133001 is a deficient number, since it is larger than the sum of its proper divisors (43826409526199).

132200123133001 is a wasteful number, since it uses less digits than its factorization.

132200123133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832654.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132200123133001 its reverse (100331321002231), we get a palindrome (232531444135232).

The spelling of 132200123133001 in words is "one hundred thirty-two trillion, two hundred billion, one hundred twenty-three million, one hundred thirty-three thousand, one".

Divisors: 1 7 11 17 77 119 187 199 277 1309 1393 1939 2189 3047 3383 4709 15323 21329 23681 32963 37213 51799 55123 260491 362593 385861 606353 937091 1832143 4244471 6559637 10308001 12825001 20153573 31146431 72156007 141075011 218025017 342610741 364596457 507503611 2398275187 2552175199 3552525277 4010561027 5582539721 6198139769 8627561387 28073927189 39077778047 43386978383 60392929709 68179537459 94903175257 100993218589 477256762213 664322226799 706952530123 1110925404479 1716884716013 7776477831353 12018193012091 18885731876143 132200123133001