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132102022019 = 11192311736203
BaseRepresentation
bin111101100000111100…
…1001110001110000011
3110121222102021000202012
41323001321032032003
54131021104201034
6140404204443135
712354416442302
oct1730171161603
9417872230665
10132102022019
115102a169410
12217288494ab
13c5c351cb46
146572720439
153682679cce
hex1ec1e4e383

132102022019 has 48 divisors (see below), whose sum is σ = 157934582784. Its totient is φ = 109447934400.

The previous prime is 132102021971. The next prime is 132102022037. The reversal of 132102022019 is 910220201231.

It is a happy number.

It is not a de Polignac number, because 132102022019 - 220 = 132100973443 is a prime.

It is a super-2 number, since 2×1321020220192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132102021985 and 132102022003.

It is not an unprimeable number, because it can be changed into a prime (132102022079) 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 47 ways as a sum of consecutive naturals, for example, 21293372 + ... + 21299574.

It is an arithmetic number, because the mean of its divisors is an integer number (3290303808).

Almost surely, 2132102022019 is an apocalyptic number.

132102022019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

132102022019 is a deficient number, since it is larger than the sum of its proper divisors (25832560765).

132102022019 is a wasteful number, since it uses less digits than its factorization.

132102022019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 132102022019 in words is "one hundred thirty-two billion, one hundred two million, twenty-two thousand, nineteen".

Divisors: 1 11 19 31 173 209 341 361 589 1903 3287 3971 5363 6203 6479 11191 36157 58993 62453 68233 101897 117857 123101 192293 686983 1073119 1120867 1296427 1936043 2115223 2239283 3653567 11804309 20389261 21296473 24632113 33266689 40189237 69417773 224281871 365933579 387395959 632067091 763595503 4261355549 6952738001 12009274729 132102022019