Search a number
-
+
1320103122100 = 2252715271123493
BaseRepresentation
bin10011001101011100010…
…001110001010010110100
311200012102020220212101221
4103031130101301102310
5133112032344401400
62450240315200124
7164242246252660
oct23153421612264
94605366825357
101320103122100
11469941885394
12193a17a46044
139763cc69969
1447c714358a0
1524513c60c1a
hex1335c4714b4

1320103122100 has 72 divisors (see below), whose sum is σ = 3274096638848. Its totient is φ = 452573481600.

The previous prime is 1320103122097. The next prime is 1320103122103. The reversal of 1320103122100 is 12213010231.

It is an interprime number because it is at equal distance from previous prime (1320103122097) and next prime (1320103122103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320103122103) 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 23 ways as a sum of consecutive naturals, for example, 10627954 + ... + 10751446.

Almost surely, 21320103122100 is an apocalyptic number.

1320103122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320103122100 is an abundant number, since it is smaller than the sum of its proper divisors (1953993516748).

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

1320103122100 is a wasteful number, since it uses less digits than its factorization.

1320103122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138785 (or 138778 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1320103122100 its reverse (12213010231), we get a palindrome (1332316132331).

The spelling of 1320103122100 in words is "one trillion, three hundred twenty billion, one hundred three million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 15271 30542 61084 76355 106897 123493 152710 213794 246986 305420 381775 427588 493972 534485 617465 763550 864451 1068970 1234930 1527100 1728902 2137940 2469860 2672425 3087325 3457804 4322255 5344850 6174650 8644510 10689700 12349300 17289020 21611275 43222550 86445100 1885861603 3771723206 7543446412 9429308015 13201031221 18858616030 26402062442 37717232060 47146540075 52804124884 66005156105 94293080150 132010312210 188586160300 264020624420 330025780525 660051561050 1320103122100