Search a number
-
+
132000110011 = 71110103169681
BaseRepresentation
bin111101011101111010…
…0011101010110111011
3110121201022111100202101
41322323310131112323
54130314012010021
6140350124244231
712352041264610
oct1727364352673
9417638440671
10132000110011
1150a87691410
12216ba6a0677
13c5a8389c93
146562d92507
153678748a91
hex1ebbd1d5bb

132000110011 has 16 divisors (see below), whose sum is σ = 164588825088. Its totient is φ = 102846441600.

The previous prime is 132000110003. The next prime is 132000110027. The reversal of 132000110011 is 110011000231.

It is not a de Polignac number, because 132000110011 - 23 = 132000110003 is a prime.

It is a super-2 number, since 2×1320001100112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

132000110011 is a modest number, since divided by 110011 gives 1320 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 132000110011.

It is not an unprimeable number, because it can be changed into a prime (132000110041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693091 + ... + 862771.

It is an arithmetic number, because the mean of its divisors is an integer number (10286801568).

Almost surely, 2132000110011 is an apocalyptic number.

132000110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132000110011 is a deficient number, since it is larger than the sum of its proper divisors (32588715077).

132000110011 is a wasteful number, since it uses less digits than its factorization.

132000110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179802.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 132000110011 its reverse (110011000231), we get a palindrome (242011110242).

The spelling of 132000110011 in words is "one hundred thirty-two billion, one hundred ten thousand, eleven".

Divisors: 1 7 11 77 10103 70721 111133 169681 777931 1187767 1866491 13065437 1714287143 12000010001 18857158573 132000110011