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1442103201 = 3271118111497
BaseRepresentation
bin101010111110100…
…1011111110100001
310201111120102200200
41111331023332201
510423134300301
6355033135413
750510450340
oct12575137641
93644512620
101442103201
11680036530
12342b5a569
1319ca00706
14d9751b57
158690ec86
hex55f4bfa1

1442103201 has 48 divisors (see below), whose sum is σ = 2611609728. Its totient is φ = 744940800.

The previous prime is 1442103191. The next prime is 1442103263. The reversal of 1442103201 is 1023012441.

It is not a de Polignac number, because 1442103201 - 27 = 1442103073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1442103281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119685 + ... + 131181.

It is an arithmetic number, because the mean of its divisors is an integer number (54408536).

Almost surely, 21442103201 is an apocalyptic number.

1442103201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1442103201 is a deficient number, since it is larger than the sum of its proper divisors (1169506527).

1442103201 is a wasteful number, since it uses less digits than its factorization.

1442103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702 (or 11699 counting only the distinct ones).

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

The square root of 1442103201 is about 37975.0339170355. The cubic root of 1442103201 is about 1129.7927416368.

Adding to 1442103201 its reverse (1023012441), we get a palindrome (2465115642).

The spelling of 1442103201 in words is "one billion, four hundred forty-two million, one hundred three thousand, two hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 181 231 543 693 1267 1629 1991 3801 5973 11403 11497 13937 17919 34491 41811 80479 103473 125433 126467 241437 379401 724311 885269 1138203 2080957 2655807 6242871 7967421 14566699 18728613 22890527 43700097 68671581 131100291 160233689 206014743 480701067 1442103201