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132011032122 = 233101211114713
BaseRepresentation
bin111101011110001111…
…0000111111000111010
3110121202002001021002000
41322330132013320322
54130324311011442
6140351154321430
712352233154524
oct1727436077072
9417662037060
10132011032122
1150a92871352
1221702289276
13c5aa712478
1465645d6a14
1536796a4d4c
hex1ebc787e3a

132011032122 has 64 divisors (see below), whose sum is σ = 297669064320. Its totient is φ = 43361136000.

The previous prime is 132011032099. The next prime is 132011032177. The reversal of 132011032122 is 221230110231.

132011032122 is a `hidden beast` number, since 1 + 320 + 1 + 1 + 0 + 321 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132011032095 and 132011032104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1093438 + ... + 1208150.

It is an arithmetic number, because the mean of its divisors is an integer number (4651079130).

Almost surely, 2132011032122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132011032122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148834532160).

132011032122 is an abundant number, since it is smaller than the sum of its proper divisors (165658032198).

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

132011032122 is a wasteful number, since it uses less digits than its factorization.

132011032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115036 (or 115030 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132011032122 its reverse (221230110231), we get a palindrome (353241142353).

The spelling of 132011032122 in words is "one hundred thirty-two billion, eleven million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 211 303 422 606 633 909 1266 1818 1899 2727 3798 5454 5697 11394 21311 42622 63933 114713 127866 191799 229426 344139 383598 575397 688278 1032417 1150794 2064834 3097251 6194502 11586013 23172026 24204443 34758039 48408886 69516078 72613329 104274117 145226658 208548234 217839987 312822351 435679974 625644702 653519961 1307039922 2444648743 4889297486 7333946229 14667892458 22001838687 44003677374 66005516061 132011032122