Search a number
-
+
101132332011220 = 22519214007248201
BaseRepresentation
bin10110111111101010110100…
…101110011000111011010100
3111021002011020002202122101111
4112333222310232120323110
5101223423003443324340
6555031315115304404
730205366315343206
oct2677526456307324
9437064202678344
10101132332011220
112a250a879a67a4
12b41415944b104
1344579794889b3
141ad8b8c326776
15ba5a3d990aea
hex5bfab4b98ed4

101132332011220 has 36 divisors (see below), whose sum is σ = 224143985728404. Its totient is φ = 38323831075200.

The previous prime is 101132332011209. The next prime is 101132332011241. The reversal of 101132332011220 is 22110233231101.

It can be written as a sum of positive squares in 2 ways, for example, as 20274613474756 + 80857718536464 = 4502734^2 + 8992092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101132332011191 and 101132332011200.

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, 7003616881 + ... + 7003631320.

It is an arithmetic number, because the mean of its divisors is an integer number (6226221825789).

Almost surely, 2101132332011220 is an apocalyptic number.

101132332011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132332011220 is an abundant number, since it is smaller than the sum of its proper divisors (123011653717184).

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

101132332011220 is a wasteful number, since it uses less digits than its factorization.

101132332011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14007248248 (or 14007248227 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101132332011220 its reverse (22110233231101), we get a palindrome (123242565242321).

The spelling of 101132332011220 in words is "one hundred one trillion, one hundred thirty-two billion, three hundred thirty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 14007248201 28014496402 56028992804 70036241005 140072482010 266137715819 280144964020 532275431638 1064550863276 1330688579095 2661377158190 5056616600561 5322754316380 10113233201122 20226466402244 25283083002805 50566166005610 101132332011220