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132111003210 = 23573193312563
BaseRepresentation
bin111101100001001101…
…1011110111001001010
3110122000001011022121220
41323002123132321022
54131030404100320
6140405125142510
712354555666444
oct1730233367112
9418001138556
10132111003210
115103424308a
122172b85aa36
13c5c5345a64
1465739bb494
153683350e40
hex1ec26dee4a

132111003210 has 64 divisors (see below), whose sum is σ = 323076152448. Its totient is φ = 34566856704.

The previous prime is 132111003209. The next prime is 132111003221. The reversal of 132111003210 is 12300111231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132111003210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266389 + ... + 578951.

It is an arithmetic number, because the mean of its divisors is an integer number (5048064882).

Almost surely, 2132111003210 is an apocalyptic number.

132111003210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132111003210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161538076224).

132111003210 is an abundant number, since it is smaller than the sum of its proper divisors (190965149238).

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

132111003210 is a wasteful number, since it uses less digits than its factorization.

132111003210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312839.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132111003210 its reverse (12300111231), we get a palindrome (144411114441).

The spelling of 132111003210 in words is "one hundred thirty-two billion, one hundred eleven million, three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 193 219 365 386 438 579 730 965 1095 1158 1930 2190 2895 5790 14089 28178 42267 70445 84534 140890 211335 312563 422670 625126 937689 1562815 1875378 3125630 4688445 9376890 22817099 45634198 60324659 68451297 114085495 120649318 136902594 180973977 228170990 301623295 342256485 361947954 603246590 684512970 904869885 1809739770 4403700107 8807400214 13211100321 22018500535 26422200642 44037001070 66055501605 132111003210