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102132005001 = 31343471817159
BaseRepresentation
bin101111100011110001…
…0101011100010001001
3100202121202101102021220
41133013202223202021
53133131243130001
6114530243152253
710243632501345
oct1370742534211
9322552342256
10102132005001
113a34a944004
1217963975689
139828425070
144d2c27c625
1529cb4c4c36
hex17c78ab889

102132005001 has 64 divisors (see below), whose sum is σ = 154122608640. Its totient is φ = 59742385920.

The previous prime is 102132004999. The next prime is 102132005077. The reversal of 102132005001 is 100500231201.

It is not a de Polignac number, because 102132005001 - 21 = 102132004999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102132004001) 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 63 ways as a sum of consecutive naturals, for example, 14262660 + ... + 14269818.

It is an arithmetic number, because the mean of its divisors is an integer number (2408165760).

Almost surely, 2102132005001 is an apocalyptic number.

It is an amenable number.

102132005001 is a deficient number, since it is larger than the sum of its proper divisors (51990603639).

102132005001 is a wasteful number, since it uses less digits than its factorization.

102132005001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446.

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 102132005001 its reverse (100500231201), we get a palindrome (202632236202).

The spelling of 102132005001 in words is "one hundred two billion, one hundred thirty-two million, five thousand, one".

Divisors: 1 3 13 39 43 47 129 141 181 543 559 611 1677 1833 2021 2353 6063 7059 7159 7783 8507 21477 23349 25521 26273 78819 93067 101179 110591 279201 303537 307837 331773 336473 365801 923511 1009419 1097403 1295779 3887337 4001881 4374149 4755413 12005643 13122447 14266239 14468339 16845127 43405017 50535381 55718497 60901613 167155491 182704839 188088407 564265221 724340461 791720969 2173021383 2375162907 2618769359 7856308077 34044001667 102132005001