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10300200220 = 2254324149697
BaseRepresentation
bin10011001011111000…
…01001010100011100
3222120211122101102001
421211330021110130
5132043322401340
64422025012044
7513151154152
oct114574112434
928524571361
1010300200220
114406215972
121bb5624024
13c81c5843b
146d9d893d2
1540440b29a
hex265f0951c

10300200220 has 48 divisors (see below), whose sum is σ = 22225740768. Its totient is φ = 4007485440.

The previous prime is 10300200203. The next prime is 10300200221. The reversal of 10300200220 is 2200200301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10300200197 and 10300200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300200221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182412 + ... + 232108.

It is an arithmetic number, because the mean of its divisors is an integer number (463036266).

Almost surely, 210300200220 is an apocalyptic number.

10300200220 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 10300200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11112870384).

10300200220 is an abundant number, since it is smaller than the sum of its proper divisors (11925540548).

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

10300200220 is a wasteful number, since it uses less digits than its factorization.

10300200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49990 (or 49988 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10300200220 its reverse (2200200301), we get a palindrome (12500400521).

The spelling of 10300200220 in words is "ten billion, three hundred million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 241 430 482 860 964 1205 2410 4820 10363 20726 41452 49697 51815 99394 103630 198788 207260 248485 496970 993940 2136971 4273942 8547884 10684855 11976977 21369710 23953954 42739420 47907908 59884885 119769770 239539540 515010011 1030020022 2060040044 2575050055 5150100110 10300200220