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12101301211032 = 233211531613917863
BaseRepresentation
bin1011000000011000110111…
…0000101000111110011000
31120211212120111011211000100
42300012031300220332120
53041231431102223112
641423132214335400
72356201345054125
oct260061560507630
946755514154010
1012101301211032
113946151065020
12143539135a560
1369a1bc96c587
142db9c579774c
1515ebb14d92dc
hexb018dc28f98

12101301211032 has 192 divisors, whose sum is σ = 36432741945600. Its totient is φ = 3597446810880.

The previous prime is 12101301211009. The next prime is 12101301211039. The reversal of 12101301211032 is 23011210310121.

12101301211032 is a `hidden beast` number, since 121 + 0 + 1 + 301 + 211 + 0 + 32 = 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 = 12101301210996 and 12101301211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101301211039) 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, 677441733 + ... + 677459595.

It is an arithmetic number, because the mean of its divisors is an integer number (189753864300).

Almost surely, 212101301211032 is an apocalyptic number.

12101301211032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101301211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18216370972800).

12101301211032 is an abundant number, since it is smaller than the sum of its proper divisors (24331440734568).

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

12101301211032 is a wasteful number, since it uses less digits than its factorization.

12101301211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34078 (or 34071 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12101301211032 its reverse (23011210310121), we get a palindrome (35112511521153).

The spelling of 12101301211032 in words is "twelve trillion, one hundred one billion, three hundred one million, two hundred eleven thousand, thirty-two".