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101230221012 = 22365914338933
BaseRepresentation
bin101111001000111001…
…0101001011011010100
3100200021220112001012220
41132101302221123110
53124304414033022
6114300550542340
710212402452454
oct1362162513324
9320256461186
10101230221012
1139a27903388
12177519679b0
13971365567b
144c845b9d64
15297724485c
hex1791ca96d4

101230221012 has 48 divisors (see below), whose sum is σ = 236753858880. Its totient is φ = 33664922368.

The previous prime is 101230220999. The next prime is 101230221013. The reversal of 101230221012 is 210122032101.

It is a super-3 number, since 3×1012302210123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101230220982 and 101230221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101230221013) 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, 11327698 + ... + 11336630.

It is an arithmetic number, because the mean of its divisors is an integer number (4932372060).

Almost surely, 2101230221012 is an apocalyptic number.

101230221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101230221012 is an abundant number, since it is smaller than the sum of its proper divisors (135523637868).

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

101230221012 is a wasteful number, since it uses less digits than its factorization.

101230221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101230221012 its reverse (210122032101), we get a palindrome (311352253113).

The spelling of 101230221012 in words is "one hundred one billion, two hundred thirty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 659 1318 1433 1977 2636 2866 3954 4299 5732 7908 8598 8933 17196 17866 26799 35732 53598 107196 944347 1888694 2833041 3777388 5666082 5886847 11332164 11773694 12800989 17660541 23547388 25601978 35321082 38402967 51203956 70642164 76805934 153611868 8435851751 16871703502 25307555253 33743407004 50615110506 101230221012