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12432330342100 = 22521958611116419
BaseRepresentation
bin1011010011101010000010…
…1000100011111011010100
31122000112000110220000120001
42310322200220203323110
53112142403031421400
642235200025421044
72422130510205454
oct264724050437324
948015013800501
1012432330342100
113a63581405799
12148957633a784
136c249612ca66
1430da298b5d64
151685d7d09a6a
hexb4ea0a23ed4

12432330342100 has 72 divisors (see below), whose sum is σ = 28402930533600. Its totient is φ = 4710390825600.

The previous prime is 12432330342083. The next prime is 12432330342101. The reversal of 12432330342100 is 124303323421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432330342101) 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, 10577691 + ... + 11694109.

It is an arithmetic number, because the mean of its divisors is an integer number (394485146300).

Almost surely, 212432330342100 is an apocalyptic number.

12432330342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432330342100 is an abundant number, since it is smaller than the sum of its proper divisors (15970600191500).

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

12432330342100 is a wasteful number, since it uses less digits than its factorization.

12432330342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122313 (or 1122306 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 12432330342100 its reverse (124303323421), we get a palindrome (12556633665521).

The spelling of 12432330342100 in words is "twelve trillion, four hundred thirty-two billion, three hundred thirty million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 5861 11722 23444 29305 58610 111359 117220 146525 222718 293050 445436 556795 586100 1113590 1116419 2227180 2232838 2783975 4465676 5567950 5582095 11135900 11164190 21211961 22328380 27910475 42423922 55820950 84847844 106059805 111641900 212119610 424239220 530299025 1060598050 2121196100 6543331759 13086663518 26173327036 32716658795 65433317590 124323303421 130866635180 163583293975 248646606842 327166587950 497293213684 621616517105 654333175900 1243233034210 2486466068420 3108082585525 6216165171050 12432330342100