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132120310220112 = 2437973947147299
BaseRepresentation
bin11110000010100110101000…
…001010001000010101010000
3122022210120121120202120020010
4132002212220022020111100
5114304124343404020422
61144555122124314520
736554243311205664
oct3602465012102520
9568716546676203
10132120310220112
11391089aa828095
12129999746a2a40
135894b7936c4c6
14248a92b2688a4
151041b448a8b0c
hex7829a8288550

132120310220112 has 80 divisors (see below), whose sum is σ = 346098899840000. Its totient is φ = 43423792993152.

The previous prime is 132120310220111. The next prime is 132120310220131. The reversal of 132120310220112 is 211022013021231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132120310220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20771362 + ... + 26375937.

It is an arithmetic number, because the mean of its divisors is an integer number (4326236248000).

Almost surely, 2132120310220112 is an apocalyptic number.

132120310220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132120310220112 is an abundant number, since it is smaller than the sum of its proper divisors (213978589619888).

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

132120310220112 is a wasteful number, since it uses less digits than its factorization.

132120310220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47148128 (or 47148122 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132120310220112 its reverse (211022013021231), we get a palindrome (343142323241343).

The spelling of 132120310220112 in words is "one hundred thirty-two trillion, one hundred twenty billion, three hundred ten million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 739 948 1264 1478 1896 2217 2956 3792 4434 5912 8868 11824 17736 35472 58381 116762 175143 233524 350286 467048 700572 934096 1401144 2802288 47147299 94294598 141441897 188589196 282883794 377178392 565767588 754356784 1131535176 2263070352 3724636621 7449273242 11173909863 14898546484 22347819726 29797092968 34841853961 44695639452 59594185936 69683707922 89391278904 104525561883 139367415844 178782557808 209051123766 278734831688 418102247532 557469663376 836204495064 1672408990128 2752506462919 5505012925838 8257519388757 11010025851676 16515038777514 22020051703352 33030077555028 44040103406704 66060155110056 132120310220112