Search a number
-
+
10203222103020 = 223256710133125307
BaseRepresentation
bin1001010001111001111101…
…1011011101001111101100
31100010102022002110201201200
42110132133123131033230
52314132144324244040
633411143500005500
72102105232616542
oct224363733351754
940112262421650
1010203222103020
113284186974981
121189552530890
1359020cb8491b
14273ba510dd92
1512a6211ce630
hex9479f6dd3ec

10203222103020 has 288 divisors, whose sum is σ = 31819813998336. Its totient is φ = 2645590464000.

The previous prime is 10203222102977. The next prime is 10203222103033. The reversal of 10203222103020 is 2030122230201.

10203222103020 is a `hidden beast` number, since 1 + 0 + 20 + 322 + 21 + 0 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10203222102984 and 10203222103002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 403165207 + ... + 403190513.

It is an arithmetic number, because the mean of its divisors is an integer number (110485465272).

Almost surely, 210203222103020 is an apocalyptic number.

10203222103020 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 10203222103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909906999168).

10203222103020 is an abundant number, since it is smaller than the sum of its proper divisors (21616591895316).

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

10203222103020 is a wasteful number, since it uses less digits than its factorization.

10203222103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25821 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10203222103020 its reverse (2030122230201), we get a palindrome (12233344333221).

The spelling of 10203222103020 in words is "ten trillion, two hundred three billion, two hundred twenty-two million, one hundred three thousand, twenty".