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132112131110 = 251773921423
BaseRepresentation
bin111101100001001111…
…1110010010000100110
3110122000010021121210222
41323002133302100212
54131031201143420
6140405205244342
712354601405001
oct1730237622046
9418003247728
10132112131110
1151034943533
12217301036b2
13c5c564c25b
146573bd2538
1536834c5225
hex1ec27f2426

132112131110 has 48 divisors (see below), whose sum is σ = 252308540736. Its totient is φ = 49634125056.

The previous prime is 132112131079. The next prime is 132112131113. The reversal of 132112131110 is 11131211231.

132112131110 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 (17).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112131113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92839859 + ... + 92841281.

It is an arithmetic number, because the mean of its divisors is an integer number (5256427932).

Almost surely, 2132112131110 is an apocalyptic number.

132112131110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132112131110 is a deficient number, since it is larger than the sum of its proper divisors (120196409626).

132112131110 is an equidigital number, since it uses as much as digits as its factorization.

132112131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 132112131110 its reverse (11131211231), we get a palindrome (143243342341).

The spelling of 132112131110 in words is "one hundred thirty-two billion, one hundred twelve million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 5 10 17 34 85 170 739 1423 1478 2846 3695 7115 7390 12563 14230 24191 25126 48382 62815 120955 125630 241910 546121 1051597 1092242 2103194 2730605 5257985 5461210 9284057 10515970 17877149 18568114 35754298 46420285 89385745 92840570 178771490 777130183 1554260366 3885650915 7771301830 13211213111 26422426222 66056065555 132112131110