Search a number
-
+
101331201033132 = 22372411500341693
BaseRepresentation
bin10111000010100100000010…
…001111100000001110101100
3111021210011112121220200121120
4113002210002033200032230
5101240202244431030012
6555302524444500540
730225636424213050
oct2702440217401654
9437704477820546
10101331201033132
112a318359314364
12b4467ba24a750
13447065039bc65
141b04656123c60
15baaccc9b058c
hex5c29023e03ac

101331201033132 has 48 divisors (see below), whose sum is σ = 270328613167872. Its totient is φ = 28939763465280.

The previous prime is 101331201033119. The next prime is 101331201033157. The reversal of 101331201033132 is 231330102133101.

It is an unprimeable number.

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, 249968323 + ... + 250373370.

It is an arithmetic number, because the mean of its divisors is an integer number (5631846107664).

Almost surely, 2101331201033132 is an apocalyptic number.

101331201033132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331201033132 is an abundant number, since it is smaller than the sum of its proper divisors (168997412134740).

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

101331201033132 is a wasteful number, since it uses less digits than its factorization.

101331201033132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500344118 (or 500344116 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101331201033132 its reverse (231330102133101), we get a palindrome (332661303166233).

The spelling of 101331201033132 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred one million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2411 4822 7233 9644 14466 16877 28932 33754 50631 67508 101262 202524 500341693 1000683386 1501025079 2001366772 3002050158 3502391851 6004100316 7004783702 10507175553 14009567404 21014351106 42028702212 1206323821823 2412647643646 3618971465469 4825295287292 7237942930938 8444266752761 14475885861876 16888533505522 25332800258283 33777067011044 50665600516566 101331201033132