Search a number
-
+
2011133232101 = 72193965954469
BaseRepresentation
bin11101010001000000111…
…000011100001111100101
321010021002022222122021202
4131101000320130033211
5230422300101411401
64135522444452245
7265204520262500
oct35210070341745
97107068878252
102011133232101
11705a0a308954
1228593054a085
13117858c69686
146d4a7322137
15374aa5d806b
hex1d440e1c3e5

2011133232101 has 24 divisors (see below), whose sum is σ = 2462719428000. Its totient is φ = 1633029509664.

The previous prime is 2011133232077. The next prime is 2011133232131. The reversal of 2011133232101 is 1012323311102.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2011133232101 is a prime.

It is a super-2 number, since 2×20111332321012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011133232131) 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, 36895295 + ... + 36949763.

It is an arithmetic number, because the mean of its divisors is an integer number (102613309500).

Almost surely, 22011133232101 is an apocalyptic number.

It is an amenable number.

2011133232101 is a deficient number, since it is larger than the sum of its proper divisors (451586195899).

2011133232101 is a wasteful number, since it uses less digits than its factorization.

2011133232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94161 (or 94154 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2011133232101 its reverse (1012323311102), we get a palindrome (3023456543203).

The spelling of 2011133232101 in words is "two trillion, eleven billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 7 19 49 133 931 39659 54469 277613 381283 753521 1034911 1943291 2668981 5274647 7244377 36922529 50710639 2160186071 15121302497 41043535349 105849117479 287304747443 2011133232101