Search a number
-
+
12021021031032 = 23321335943183003
BaseRepresentation
bin1010111011101101110010…
…1100000011101001111000
31120120012100121212010022100
42232323130230003221320
53033423022340443112
641322214131423400
72350330051562166
oct256733454035170
946505317763270
1012021021031032
1139150a4a91622
121421907754b60
136927677891a0
142d7b6b728236
1515ca636242dc
hexaeedcb03a78

12021021031032 has 192 divisors, whose sum is σ = 35240975078400. Its totient is φ = 3679870429440.

The previous prime is 12021021031003. The next prime is 12021021031091. The reversal of 12021021031032 is 23013012012021.

12021021031032 is a `hidden beast` number, since 120 + 21 + 0 + 210 + 310 + 3 + 2 = 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 = 12021021030996 and 12021021031014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144784843 + ... + 144867845.

It is an arithmetic number, because the mean of its divisors is an integer number (183546745200).

Almost surely, 212021021031032 is an apocalyptic number.

12021021031032 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 12021021031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17620487539200).

12021021031032 is an abundant number, since it is smaller than the sum of its proper divisors (23219954047368).

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

12021021031032 is a wasteful number, since it uses less digits than its factorization.

12021021031032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83818 (or 83811 counting only the distinct ones).

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

Adding to 12021021031032 its reverse (23013012012021), we get a palindrome (35034033043053).

The spelling of 12021021031032 in words is "twelve trillion, twenty-one billion, twenty-one million, thirty-one thousand, thirty-two".