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10300220010 = 2345103912239
BaseRepresentation
bin10011001011111000…
…01110001001101010
3222120211200101120000
421211330032021222
5132043324020020
64422025243430
7513151265643
oct114574161152
928524611500
1010300220010
114406229823
121bb5633576
13c81c64452
146d9d926ca
15404412090
hex265f0e26a

10300220010 has 80 divisors (see below), whose sum is σ = 27725068800. Its totient is φ = 2743857504.

The previous prime is 10300220003. The next prime is 10300220069. The reversal of 10300220010 is 1002200301.

It is a happy number.

10300220010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10300219974 and 10300220001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 835471 + ... + 847709.

It is an arithmetic number, because the mean of its divisors is an integer number (346563360).

Almost surely, 210300220010 is an apocalyptic number.

10300220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862534400).

10300220010 is an abundant number, since it is smaller than the sum of its proper divisors (17424848790).

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

10300220010 is a wasteful number, since it uses less digits than its factorization.

10300220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10300220010 its reverse (1002200301), we get a palindrome (11302420311).

The spelling of 10300220010 in words is "ten billion, three hundred million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1039 2078 3117 5195 6234 9351 10390 12239 15585 18702 24478 28053 31170 36717 46755 56106 61195 73434 84159 93510 110151 122390 140265 168318 183585 220302 280530 330453 367170 420795 550755 660906 841590 991359 1101510 1652265 1982718 3304530 4956795 9913590 12716321 25432642 38148963 63581605 76297926 114446889 127163210 190744815 228893778 343340667 381489630 572234445 686681334 1030022001 1144468890 1716703335 2060044002 3433406670 5150110005 10300220010