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132032511240135 = 351124131110676269
BaseRepresentation
bin11110000001010100110110…
…111011100110011111000111
3122022111011222201111020221220
4132001110312323212133013
5114301210040334141020
61144450522011411423
736545014466200302
oct3601246673463707
9568434881436856
10132032511240135
1139084745572a10
1212984950a53b73
1358897c6547c4c
14248659c7d1b39
15103e70689b240
hex781536ee67c7

132032511240135 has 64 divisors (see below), whose sum is σ = 232157113943040. Its totient is φ = 63545147136000.

The previous prime is 132032511240101. The next prime is 132032511240137. The reversal of 132032511240135 is 531042115230231.

It is a happy number.

It is not a de Polignac number, because 132032511240135 - 29 = 132032511239623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 132032511240096 and 132032511240105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132032511240137) 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, 7028781 + ... + 17705049.

It is an arithmetic number, because the mean of its divisors is an integer number (3627454905360).

Almost surely, 2132032511240135 is an apocalyptic number.

132032511240135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132032511240135 is a deficient number, since it is larger than the sum of its proper divisors (100124602702905).

132032511240135 is a wasteful number, since it uses less digits than its factorization.

132032511240135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676840.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 132032511240135 its reverse (531042115230231), we get a palindrome (663074626470366).

The spelling of 132032511240135 in words is "one hundred thirty-two trillion, thirty-two billion, five hundred eleven million, two hundred forty thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 241 311 723 933 1205 1555 2651 3421 3615 4665 7953 10263 13255 17105 39765 51315 74951 224853 374755 824461 1124265 2473383 4122305 10676269 12366915 32028807 53381345 117438959 160144035 352316877 587194795 1761584385 2572980829 3320319659 7718942487 9960958977 12864904145 16601598295 28302789119 36523516249 38594712435 49804794885 84908367357 109570548747 141513945595 182617581245 424541836785 547852743735 800197037819 2400591113457 4000985189095 8802167416009 12002955567285 26406502248027 44010837080045 132032511240135