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10223121020 = 22571771101599
BaseRepresentation
bin10011000010101100…
…00111001001111100
3222101110121100121212
421201112013021330
5131414104333040
64410232543552
7511224044360
oct114126071174
928343540555
1010223121020
11437675a152
121b93851bb8
13c6bcab648
146cda432a0
153ec782d65
hex26158727c

10223121020 has 192 divisors, whose sum is σ = 26649907200. Its totient is φ = 3214848000.

The previous prime is 10223120993. The next prime is 10223121023. The reversal of 10223121020 is 2012132201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10223120986 and 10223121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223121023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17066681 + ... + 17067279.

It is an arithmetic number, because the mean of its divisors is an integer number (138801600).

Almost surely, 210223121020 is an apocalyptic number.

10223121020 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 10223121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324953600).

10223121020 is an abundant number, since it is smaller than the sum of its proper divisors (16426786180).

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

10223121020 is a wasteful number, since it uses less digits than its factorization.

10223121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10223121020 its reverse (2012132201), we get a palindrome (12235253221).

The spelling of 10223121020 in words is "ten billion, two hundred twenty-three million, one hundred twenty-one thousand, twenty".