Search a number
-
+
132101130301300 = 22522945552113897
BaseRepresentation
bin11110000010010100110000…
…111100100010111101110100
3122022201202002220100201212201
4132002110300330202331310
5114303321103324120200
61144542231012154244
736552664104453226
oct3602246074427564
9568652086321781
10132101130301300
1139100858205216
1212996101308984
135893110858b14
142489a2bc58416
1510413c0b2ec6a
hex782530f22f74

132101130301300 has 36 divisors (see below), whose sum is σ = 296544261475980. Its totient is φ = 51018367563520.

The previous prime is 132101130301277. The next prime is 132101130301351. The reversal of 132101130301300 is 3103031101231.

It can be written as a sum of positive squares in 6 ways, for example, as 3667822504336 + 128433307796964 = 1915156^2 + 11332842^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22776054049 + ... + 22776059848.

It is an arithmetic number, because the mean of its divisors is an integer number (8237340596555).

Almost surely, 2132101130301300 is an apocalyptic number.

132101130301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132101130301300 is an abundant number, since it is smaller than the sum of its proper divisors (164443131174680).

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

132101130301300 is a wasteful number, since it uses less digits than its factorization.

132101130301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45552113940 (or 45552113933 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 132101130301300 its reverse (3103031101231), we get a palindrome (135204161402531).

The spelling of 132101130301300 in words is "one hundred thirty-two trillion, one hundred one billion, one hundred thirty million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 45552113897 91104227794 182208455588 227760569485 455521138970 911042277940 1138802847425 1321011303013 2277605694850 2642022606026 4555211389700 5284045212052 6605056515065 13210113030130 26420226060260 33025282575325 66050565150650 132101130301300