Search a number
-
+
132310011220 = 22529349653641
BaseRepresentation
bin111101100111001001…
…0101000110101010100
3110122111220121222021221
41323032102220311110
54131432330324340
6140440554420124
712362523352642
oct1731622506524
9418456558257
10132310011220
1151126608812
1221786431644
13c62764368a
1465921c2192
153695a6144a
hex1ece4a8d54

132310011220 has 48 divisors (see below), whose sum is σ = 288256122000. Its totient is φ = 50952545280.

The previous prime is 132310011203. The next prime is 132310011221. The reversal of 132310011220 is 22110013231.

It can be written as a sum of positive squares in 8 ways, for example, as 15588021904 + 116721989316 = 124852^2 + 341646^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132310011194 and 132310011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132310011221) 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 15 ways as a sum of consecutive naturals, for example, 124401 + ... + 529240.

It is an arithmetic number, because the mean of its divisors is an integer number (6005335875).

Almost surely, 2132310011220 is an apocalyptic number.

132310011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132310011220 is an abundant number, since it is smaller than the sum of its proper divisors (155946110780).

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

132310011220 is a wasteful number, since it uses less digits than its factorization.

132310011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654028 (or 654026 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132310011220 its reverse (22110013231), we get a palindrome (154420024451).

The spelling of 132310011220 in words is "one hundred thirty-two billion, three hundred ten million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 349 580 698 1396 1745 3490 6980 10121 20242 40484 50605 101210 202420 653641 1307282 2614564 3268205 6536410 13072820 18955589 37911178 75822356 94777945 189555890 228120709 379111780 456241418 912482836 1140603545 2281207090 4562414180 6615500561 13231001122 26462002244 33077502805 66155005610 132310011220