Search a number
-
+
101011101220212 = 22322148938004559
BaseRepresentation
bin10110111101111001111010…
…110011100111110101110100
3111020122120022022122101000220
4112331321322303213311310
5101214431213403021322
6554455505334534340
730163545152540631
oct2675717263476564
9436576268571026
10101011101220212
112a204627315127
12b3b47655073b0
1344493c92b9131
141ad2d6b757188
15ba27e591b55c
hex5bde7ace7d74

101011101220212 has 24 divisors (see below), whose sum is σ = 235693639843200. Its totient is φ = 33670214169216.

The previous prime is 101011101220177. The next prime is 101011101220213. The reversal of 101011101220212 is 212022101110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101011101220191 and 101011101220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011101220213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16344412 + ... + 21660147.

It is an arithmetic number, because the mean of its divisors is an integer number (9820568326800).

Almost surely, 2101011101220212 is an apocalyptic number.

101011101220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011101220212 is an abundant number, since it is smaller than the sum of its proper divisors (134682538622988).

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

101011101220212 is a wasteful number, since it uses less digits than its factorization.

101011101220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38226055 (or 38226053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101011101220212 its reverse (212022101110101), we get a palindrome (313033202330313).

The spelling of 101011101220212 in words is "one hundred one trillion, eleven billion, one hundred one million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 221489 442978 664467 885956 1328934 2657868 38004559 76009118 114013677 152018236 228027354 456054708 8417591768351 16835183536702 25252775305053 33670367073404 50505550610106 101011101220212