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132123101019 = 371323411992579
BaseRepresentation
bin111101100001100100…
…1101000011101011011
3110122000212220221200220
41323003021220131123
54131042003213034
6140410240331123
712355063554150
oct1730311503533
9418025827626
10132123101019
1151040056378
1221733913aa3
13c5c79c0420
14657544a227
153684440749
hex1ec326875b

132123101019 has 128 divisors (see below), whose sum is σ = 233017344000. Its totient is φ = 64683463680.

The previous prime is 132123100943. The next prime is 132123101039. The reversal of 132123101019 is 910101321231.

It is not a de Polignac number, because 132123101019 - 221 = 132121003867 is a prime.

It is a super-2 number, since 2×1321231010192 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132123101019.

It is not an unprimeable number, because it can be changed into a prime (132123101039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51229072 + ... + 51231650.

It is an arithmetic number, because the mean of its divisors is an integer number (1820448000).

Almost surely, 2132123101019 is an apocalyptic number.

132123101019 is a deficient number, since it is larger than the sum of its proper divisors (100894242981).

132123101019 is a wasteful number, since it uses less digits than its factorization.

132123101019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865.

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 132123101019 in words is "one hundred thirty-two billion, one hundred twenty-three million, one hundred one thousand, nineteen".

Divisors: 1 3 7 13 21 23 39 41 69 91 123 161 199 273 287 299 483 533 597 861 897 943 1393 1599 2093 2579 2587 2829 3731 4179 4577 6279 6601 7737 7761 8159 11193 12259 13731 18053 18109 19803 24477 32039 33527 36777 54159 54327 57113 59317 59501 85813 96117 100581 105739 106067 171339 177951 178503 187657 234689 257439 317217 318201 415219 416507 513221 562971 704067 740173 742469 771121 1245657 1249521 1313599 1374607 1539663 2220519 2227407 2313363 2431997 2439541 3592547 3940797 4123821 5397847 6671873 7295991 7318623 9622249 10777641 11804083 16193541 17023979 17076787 20015619 21042061 28866747 31615961 35412249 46703111 51071937 51230361 63126183 82628581 94847883 140109333 147294427 153453079 221311727 247885743 273546793 441883281 460359237 483967403 663935181 820640379 1074171553 1451902209 1914827551 3222514659 3387771821 5744482653 6291576239 10163315463 18874728717 44041033673 132123101019