Search a number
-
+
1313012101002 = 237109656943661
BaseRepresentation
bin10011000110110101100…
…111101010111110001010
311122112010001220200010220
4103012311213222332022
5133003022044213002
62443104530050510
7163601443466040
oct23066547527612
94575101820126
101313012101002
11466933112278
12192579119a36
1396a7cb450a4
144779b784390
152424b4677bc
hex131b59eaf8a

1313012101002 has 64 divisors (see below), whose sum is σ = 3029234630400. Its totient is φ = 371639508480.

The previous prime is 1313012100991. The next prime is 1313012101033. The reversal of 1313012101002 is 2001012103131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30051052 + ... + 30094712.

It is an arithmetic number, because the mean of its divisors is an integer number (47331791100).

Almost surely, 21313012101002 is an apocalyptic number.

1313012101002 is an abundant number, since it is smaller than the sum of its proper divisors (1716222529398).

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

1313012101002 is a wasteful number, since it uses less digits than its factorization.

1313012101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50351.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1313012101002 its reverse (2001012103131), we get a palindrome (3314024204133).

The spelling of 1313012101002 in words is "one trillion, three hundred thirteen billion, twelve million, one hundred one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 654 763 1526 2289 4578 6569 13138 19707 39414 43661 45983 87322 91966 130983 137949 261966 275898 305627 611254 716021 916881 1432042 1833762 2148063 4296126 4759049 5012147 9518098 10024294 14277147 15036441 28554294 30072882 33313343 66626686 99940029 199880058 286809109 573618218 860427327 1720854654 2007663763 4015327526 6022991289 12045982578 31262192881 62524385762 93786578643 187573157286 218835350167 437670700334 656506050501 1313012101002