Search a number
-
+
10302313222020 = 2235475397710621
BaseRepresentation
bin1001010111101011000110…
…1110000100111110000100
31100110220001220220010122010
42111322301232010332010
52322243114141101040
633524452314334220
72112213632340321
oct225726156047604
940426056803563
1010302313222020
113312206262256
1211a47a7a2a370
135996722ab551
142788c5581b48
1512cec0735e80
hex95eb1b84f84

10302313222020 has 192 divisors, whose sum is σ = 30325572135936. Its totient is φ = 2610897469440.

The previous prime is 10302313222009. The next prime is 10302313222081. The reversal of 10302313222020 is 2022231320301.

It is a happy number.

10302313222020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103023132220202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14142310 + ... + 14852930.

It is an arithmetic number, because the mean of its divisors is an integer number (157945688208).

Almost surely, 210302313222020 is an apocalyptic number.

10302313222020 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 10302313222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15162786067968).

10302313222020 is an abundant number, since it is smaller than the sum of its proper divisors (20023258913916).

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

10302313222020 is a wasteful number, since it uses less digits than its factorization.

10302313222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710830 (or 710828 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10302313222020 its reverse (2022231320301), we get a palindrome (12324544542321).

The spelling of 10302313222020 in words is "ten trillion, three hundred two billion, three hundred thirteen million, two hundred twenty-two thousand, twenty".