Search a number
-
+
11403130331412 = 22321718632565901
BaseRepresentation
bin1010010111101111111110…
…0010000110000100010100
31111101010110202111100201200
42211323333202012010110
52443312102331101122
640130305321352500
72254564125361101
oct245737742060424
944333422440650
1011403130331412
1136a704987a666
121342005338730
1364940644a1b1
142b5cb3389aa8
1514b94ccdd5ac
hexa5eff886114

11403130331412 has 36 divisors (see below), whose sum is σ = 30520142947476. Its totient is φ = 3577452652800.

The previous prime is 11403130331389. The next prime is 11403130331477. The reversal of 11403130331412 is 21413303130411.

11403130331412 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 31 + 303 + 314 + 12 = 666.

11403130331412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5775389465616 + 5627740865796 = 2403204^2 + 2372286^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9316282339 + ... + 9316283562.

It is an arithmetic number, because the mean of its divisors is an integer number (847781748541).

Almost surely, 211403130331412 is an apocalyptic number.

11403130331412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11403130331412 is an abundant number, since it is smaller than the sum of its proper divisors (19117012616064).

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

11403130331412 is a wasteful number, since it uses less digits than its factorization.

11403130331412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18632565928 (or 18632565923 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11403130331412 its reverse (21413303130411), we get a palindrome (32816433461823).

The spelling of 11403130331412 in words is "eleven trillion, four hundred three billion, one hundred thirty million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 18632565901 37265131802 55897697703 74530263604 111795395406 167693093109 223590790812 316753620317 335386186218 633507240634 670772372436 950260860951 1267014481268 1900521721902 2850782582853 3801043443804 5701565165706 11403130331412