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10433120313042 = 236723127349967
BaseRepresentation
bin1001011111010010011001…
…1011100001111011010010
31100221101201002111212000000
42113310212123201323102
52331414012300004132
634104524224310430
72124524306303610
oct227644633417322
940841632455000
1010433120313042
113362730475859
121206012a72416
135a8aba44971b
14280d73d006b0
151315c937287c
hex97d266e1ed2

10433120313042 has 224 divisors, whose sum is σ = 28202067689472. Its totient is φ = 2828828372832.

The previous prime is 10433120313029. The next prime is 10433120313097. The reversal of 10433120313042 is 24031302133401.

It is a happy number.

10433120313042 is a `hidden beast` number, since 1 + 0 + 4 + 331 + 20 + 3 + 1 + 304 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10433120312997 and 10433120313015.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 29636743 + ... + 29986709.

Almost surely, 210433120313042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10433120313042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101033844736).

10433120313042 is an abundant number, since it is smaller than the sum of its proper divisors (17768947376430).

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

10433120313042 is a wasteful number, since it uses less digits than its factorization.

10433120313042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350144 (or 350129 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10433120313042 its reverse (24031302133401), we get a palindrome (34464422446443).

The spelling of 10433120313042 in words is "ten trillion, four hundred thirty-three billion, one hundred twenty million, three hundred thirteen thousand, forty-two".