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423201002112 = 27327262120023
BaseRepresentation
bin1100010100010001011…
…11101101001010000000
31111110100121100101122100
412022020233231022000
523413203424031422
6522225454110400
742401213110410
oct6121057551200
91443317311570
10423201002112
11153529a29709
126a0291ab400
1330ba5245965
14166a9654640
15b01d6ae7ac
hex6288bed280

423201002112 has 192 divisors, whose sum is σ = 1392377650560. Its totient is φ = 120862402560.

The previous prime is 423201001997. The next prime is 423201002117. The reversal of 423201002112 is 211200102324.

It is a happy number.

423201002112 is a `hidden beast` number, since 423 + 20 + 10 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (423201002117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21125733 + ... + 21145755.

It is an arithmetic number, because the mean of its divisors is an integer number (7251966930).

Almost surely, 2423201002112 is an apocalyptic number.

423201002112 is a gapful number since it is divisible by the number (42) 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 423201002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696188825280).

423201002112 is an abundant number, since it is smaller than the sum of its proper divisors (969176648448).

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

423201002112 is a wasteful number, since it uses less digits than its factorization.

423201002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22671 (or 22656 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 423201002112 its reverse (211200102324), we get a palindrome (634401104436).

The spelling of 423201002112 in words is "four hundred twenty-three billion, two hundred one million, two thousand, one hundred twelve".