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101122212320 = 255797792991
BaseRepresentation
bin101111000101101011…
…0101000000111100000
3100200000101021122010222
41132023112220013200
53124044241243240
6114242131542212
710206621423353
oct1361326500740
9320011248128
10101122212320
11399819418a8
121772175a968
1396c71697bc
144c7410229a
15296ca0beb5
hex178b5a81e0

101122212320 has 48 divisors (see below), whose sum is σ = 239201278848. Its totient is φ = 40398082560.

The previous prime is 101122212287. The next prime is 101122212329. The reversal of 101122212320 is 23212221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122212329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268976 + ... + 524015.

It is an arithmetic number, because the mean of its divisors is an integer number (4983359976).

Almost surely, 2101122212320 is an apocalyptic number.

101122212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122212320 is an abundant number, since it is smaller than the sum of its proper divisors (138079066528).

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

101122212320 is an equidigital number, since it uses as much as digits as its factorization.

101122212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793803 (or 793795 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101122212320 its reverse (23212221101), we get a palindrome (124334433421).

The spelling of 101122212320 in words is "one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 797 1594 3188 3985 6376 7970 12752 15940 25504 31880 63760 127520 792991 1585982 3171964 3964955 6343928 7929910 12687856 15859820 25375712 31719640 63439280 126878560 632013827 1264027654 2528055308 3160069135 5056110616 6320138270 10112221232 12640276540 20224442464 25280553080 50561106160 101122212320