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103121322330000 = 2435413550348049
BaseRepresentation
bin10111011100100111001101…
…110010010100011110010000
3111112010022011020221201222110
4113130213031302110132100
5102004014432004030000
61003153140444505320
730502161333164262
oct2734471562243620
9445108136851873
10103121322330000
112a9485640a7087
12b69572a24b240
1345703b6ab5ca0
141b67154905b32
15bdc65011a850
hex5dc9cdc94790

103121322330000 has 400 divisors, whose sum is σ = 358568861235200. Its totient is φ = 25378569216000.

The previous prime is 103121322329999. The next prime is 103121322330023. The reversal of 103121322330000 is 33223121301.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2146145976 + ... + 2146194024.

It is an arithmetic number, because the mean of its divisors is an integer number (896422153088).

Almost surely, 2103121322330000 is an apocalyptic number.

103121322330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103121322330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179284430617600).

103121322330000 is an abundant number, since it is smaller than the sum of its proper divisors (255447538905200).

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

103121322330000 is a wasteful number, since it uses less digits than its factorization.

103121322330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53596 (or 53575 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103121322330000 its reverse (33223121301), we get a palindrome (103154545451301).

The spelling of 103121322330000 in words is "one hundred three trillion, one hundred twenty-one billion, three hundred twenty-two million, three hundred thirty thousand".