Search a number
-
+
132321402421635 = 3573175925641521
BaseRepresentation
bin11110000101100001111010…
…001100000000000110000011
3122100111210200001012211112210
4132011201322030000012003
5114320423213004443020
61145231340232153203
736604622463546000
oct3605417214000603
9570453601184483
10132321402421635
1139186212067479
1212a10935b38803
1358aab15a3b86b
1424965664188a7
151046eb3b733e0
hex78587a300183

132321402421635 has 128 divisors (see below), whose sum is σ = 265851300096000. Its totient is φ = 55966617477120.

The previous prime is 132321402421633. The next prime is 132321402421651. The reversal of 132321402421635 is 536124204123231.

It is a happy number.

It is not a de Polignac number, because 132321402421635 - 21 = 132321402421633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132321402421593 and 132321402421602.

It is not an unprimeable number, because it can be changed into a prime (132321402421633) 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, 7660326 + ... + 17981195.

It is an arithmetic number, because the mean of its divisors is an integer number (2076963282000).

Almost surely, 2132321402421635 is an apocalyptic number.

132321402421635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132321402421635 is an abundant number, since it is smaller than the sum of its proper divisors (133529897674365).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132321402421635 is a wasteful number, since it uses less digits than its factorization.

132321402421635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25641626 (or 25641612 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 132321402421635 its reverse (536124204123231), we get a palindrome (668445606544866).

The spelling of 132321402421635 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, four hundred two million, four hundred twenty-one thousand, six hundred thirty-five".

Divisors: 1 3 5 7 15 17 21 35 49 51 59 85 105 119 147 177 245 255 295 343 357 413 595 735 833 885 1003 1029 1239 1715 1785 2065 2499 2891 3009 4165 5015 5145 5831 6195 7021 8673 12495 14455 15045 17493 20237 21063 29155 35105 43365 49147 60711 87465 101185 105315 147441 245735 303555 344029 737205 1032087 1720145 5160435 25641521 76924563 128207605 179490647 384622815 435905857 538471941 897453235 1256434529 1307717571 1512849739 2179529285 2692359705 3051340999 3769303587 4538549217 6282172645 6538587855 7564248695 8795041703 9154022997 10589948173 15256704995 18846517935 21359386993 22692746085 25718445563 26385125109 31769844519 43975208515 45770114985 52949740865 64078160979 74129637211 77155336689 106796934965 128592227815 131925625545 149515708951 158849222595 180029118941 222388911633 320390804895 370648186055 385776683445 448547126853 518907460477 540087356823 747578544755 900145594705 1111944558165 1260203832587 1556722381431 2242735634265 2594537302385 2700436784115 3780611497761 6301019162935 7783611907155 8821426828109 18903057488805 26464280484327 44107134140545 132321402421635