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21403233230412 = 2231117231673596917
BaseRepresentation
bin1001101110111010101000…
…00111010001111001001100
32210210010111010100102110010
410313131110013101321030
510301132310201333122
6113304302024113220
74336222033463445
oct467352407217114
983703433312403
1021403233230412
1169020731a5180
12249810b605810
13bc34159c28a7
1453dcca0222cc
15271b31ca9e0c
hex1377541d1e4c

21403233230412 has 384 divisors, whose sum is σ = 60731689697280. Its totient is φ = 5786936995840.

The previous prime is 21403233230411. The next prime is 21403233230413.

It is a happy number.

21403233230412 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21403233230411) and next prime (21403233230413).

It is a self number, because there is not a number n which added to its sum of digits gives 21403233230412.

It is not an unprimeable number, because it can be changed into a prime (21403233230411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3094290778 + ... + 3094297694.

It is an arithmetic number, because the mean of its divisors is an integer number (158155441920).

Almost surely, 221403233230412 is an apocalyptic number.

21403233230412 is a gapful number since it is divisible by the number (22) 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 21403233230412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30365844848640).

21403233230412 is an abundant number, since it is smaller than the sum of its proper divisors (39328456466868).

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

21403233230412 is a wasteful number, since it uses less digits than its factorization.

21403233230412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2140323 and 3230412, that added together give a palindrome (5370735).

The spelling of 21403233230412 in words is "twenty-one trillion, four hundred three billion, two hundred thirty-three million, two hundred thirty thousand, four hundred twelve".