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32322301334130 = 23523292237243531
BaseRepresentation
bin1110101100101100111110…
…10010100001001001110010
311020102222111202100210101110
413112112133102201021302
513214032033120143010
6152424354340214150
76544131521132523
oct726263722411162
9136388452323343
1032322301334130
11a3318a150a595
12376034139a356
131505c97bcb302
147da59cb5c84a
153b0b9d268120
hex1d659f4a1272

32322301334130 has 128 divisors (see below), whose sum is σ = 84113052549120. Its totient is φ = 7924537716480.

The previous prime is 32322301334093. The next prime is 32322301334131. The reversal of 32322301334130 is 3143310322323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (32322301334131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840465 + ... + 8083995.

It is an arithmetic number, because the mean of its divisors is an integer number (657133223040).

Almost surely, 232322301334130 is an apocalyptic number.

32322301334130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32322301334130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42056526274560).

32322301334130 is an abundant number, since it is smaller than the sum of its proper divisors (51790751214990).

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

32322301334130 is a wasteful number, since it uses less digits than its factorization.

32322301334130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243816.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 32322301334130 its reverse (3143310322323), we get a palindrome (35465611656453).

The spelling of 32322301334130 in words is "thirty-two trillion, three hundred twenty-two billion, three hundred one million, three hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 223 230 290 345 435 446 667 669 690 870 1115 1334 1338 2001 2230 3335 3345 4002 5129 6467 6670 6690 10005 10258 12934 15387 19401 20010 25645 30774 32335 38802 51290 64670 76935 97005 148741 153870 194010 297482 446223 743705 892446 1487410 2231115 4462230 7243531 14487062 21730593 36217655 43461186 72435310 108652965 166601213 210062399 217305930 333202426 420124798 499803639 630187197 833006065 999607278 1050311995 1260374394 1615307413 1666012130 2100623990 2499018195 3150935985 3230614826 4831435177 4845922239 4998036390 6301871970 8076537065 9662870354 9691844478 14494305531 16153074130 24157175885 24229611195 28988611062 37152070499 46843914977 48314351770 48459222390 72471527655 74304140998 93687829954 111456211497 140531744931 144943055310 185760352495 222912422994 234219574885 281063489862 371520704990 468439149770 557281057485 702658724655 1077410044471 1114562114970 1405317449310 2154820088942 3232230133413 5387050222355 6464460266826 10774100444710 16161150667065 32322301334130