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2042433201123 = 32726359728317
BaseRepresentation
bin11101101110001010100…
…000010110001111100011
321020020212200101210220200
4131232022200112033203
5231430400344413443
64202140355440243
7300363253522500
oct35561240261743
97206780353820
102042433201123
11718211328947
1228ba068b6083
1311a7a67585c3
1470bd62804a7
15381dd3e7dd3
hex1db8a8163e3

2042433201123 has 36 divisors (see below), whose sum is σ = 3432387937680. Its totient is φ = 1166919548256.

The previous prime is 2042433201119. The next prime is 2042433201139. The reversal of 2042433201123 is 3211023342402.

2042433201123 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 433 + 201 + 1 + 23 = 666.

It is not a de Polignac number, because 2042433201123 - 22 = 2042433201119 is a prime.

It is a super-2 number, since 2×20424332011232 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2042433201103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2440161 + ... + 3168477.

It is an arithmetic number, because the mean of its divisors is an integer number (95344109380).

Almost surely, 22042433201123 is an apocalyptic number.

2042433201123 is a deficient number, since it is larger than the sum of its proper divisors (1389954736557).

2042433201123 is a wasteful number, since it uses less digits than its factorization.

2042433201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734696 (or 734686 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2042433201123 its reverse (3211023342402), we get a palindrome (5253456543525).

The spelling of 2042433201123 in words is "two trillion, forty-two billion, four hundred thirty-three million, two hundred one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 49 63 147 441 6359 19077 44513 57231 133539 311591 400617 728317 934773 2184951 2804319 5098219 6554853 15294657 35687533 45883971 107062599 321187797 4631367803 13894103409 32419574621 41682310227 97258723863 226937022347 291776171589 680811067041 2042433201123