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132210113193 = 33237310872683
BaseRepresentation
bin111101100100001010…
…1100011101010101001
3110122020221122121222000
41323020111203222221
54131231242110233
6140423025321213
712360201264024
oct1731025435251
9418227577860
10132210113193
1151085186964
1221758a96209
13c60ca37412
146582c1a1bb
15368bdcbd13
hex1ec8563aa9

132210113193 has 64 divisors (see below), whose sum is σ = 207450439680. Its totient is φ = 83045533824.

The previous prime is 132210113183. The next prime is 132210113213. The reversal of 132210113193 is 391311012231.

132210113193 is a `hidden beast` number, since 1 + 322 + 10 + 11 + 319 + 3 = 666.

It is not a de Polignac number, because 132210113193 - 224 = 132193335977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132210113173) 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 63 ways as a sum of consecutive naturals, for example, 49275630 + ... + 49278312.

It is an arithmetic number, because the mean of its divisors is an integer number (3241413120).

Almost surely, 2132210113193 is an apocalyptic number.

It is an amenable number.

132210113193 is a deficient number, since it is larger than the sum of its proper divisors (75240326487).

132210113193 is a wasteful number, since it uses less digits than its factorization.

132210113193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 132210113193 in words is "one hundred thirty-two billion, two hundred ten million, one hundred thirteen thousand, one hundred ninety-three".

Divisors: 1 3 9 23 27 69 73 207 219 621 657 1087 1679 1971 2683 3261 5037 8049 9783 15111 24147 25001 29349 45333 61709 72441 75003 79351 185127 195859 225009 238053 555381 587577 675027 714159 1666143 1762731 1825073 2142477 2916421 4504757 5288193 5475219 8749263 13514271 16425657 26247789 40542813 49276971 67077683 78743367 121628439 201233049 212898733 603699147 638696199 1811097441 1916088597 4896670859 5748265791 14690012577 44070037731 132210113193