Search a number
-
+
232100301342 = 237137920532621
BaseRepresentation
bin1101100000101001000…
…0011000101000011110
3211012002110122221200010
43120022100120220132
512300320134120332
6254343030544050
722524443003250
oct3301220305036
9735073587603
10232100301342
118a484629768
1238b95b08026
1318b6b879320
14b33b453cd0
1560866749cc
hex360a418a1e

232100301342 has 128 divisors (see below), whose sum is σ = 579058421760. Its totient is φ = 60385927680.

The previous prime is 232100301247. The next prime is 232100301379. The reversal of 232100301342 is 243103001232.

232100301342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88552792 + ... + 88555412.

It is an arithmetic number, because the mean of its divisors is an integer number (4523893920).

Almost surely, 2232100301342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232100301342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289529210880).

232100301342 is an abundant number, since it is smaller than the sum of its proper divisors (346958120418).

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

232100301342 is a wasteful number, since it uses less digits than its factorization.

232100301342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232100301342 its reverse (243103001232), we get a palindrome (475203302574).

The spelling of 232100301342 in words is "two hundred thirty-two billion, one hundred million, three hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 79 91 158 182 237 273 474 546 553 1027 1106 1659 2053 2054 2621 3081 3318 4106 5242 6159 6162 7189 7863 12318 14371 14378 15726 18347 21567 26689 28742 34073 36694 43113 43134 53378 55041 68146 80067 86226 102219 110082 160134 162187 186823 204438 207059 238511 324374 373646 414118 477022 486561 560469 621177 715533 973122 1120938 1135309 1242354 1431066 1449413 2108431 2270618 2691767 2898826 3405927 4216862 4348239 5380913 5383534 6325293 6811854 8075301 8696478 10761826 12650586 14759017 16142739 16150602 18842369 29518034 32285478 37666391 37684738 44277051 56527107 69951869 75332782 88554102 112999173 113054214 139903738 209855607 225998346 419711214 425092127 489663083 850184254 979326166 1275276381 1468989249 2550552762 2937978498 2975644889 5526197651 5951289778 8926934667 11052395302 16578592953 17853869334 33157185906 38683383557 77366767114 116050150671 232100301342