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10203222120 = 23357133725253
BaseRepresentation
bin10011000000010100…
…01101000001101000
3222100002011101110120
421200022031001220
5131344011101440
64404242243240
7510562646160
oct114012150150
928302141416
1010203222120
1143664a8883
121b89056520
13c67b32250
146cb1435a0
153eab51dd0
hex26028d068

10203222120 has 256 divisors, whose sum is σ = 38693168640. Its totient is φ = 2094501888.

The previous prime is 10203222109. The next prime is 10203222131. The reversal of 10203222120 is 2122230201.

It is a happy number.

It is a Cunningham number, because it is equal to 1010112-1.

It is an interprime number because it is at equal distance from previous prime (10203222109) and next prime (10203222131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10203222120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391414 + ... + 416666.

It is an arithmetic number, because the mean of its divisors is an integer number (151145190).

Almost surely, 210203222120 is an apocalyptic number.

10203222120 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 10203222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346584320).

10203222120 is an abundant number, since it is smaller than the sum of its proper divisors (28489946520).

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

10203222120 is a wasteful number, since it uses less digits than its factorization.

10203222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25324 (or 25320 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10203222120 its reverse (2122230201), we get a palindrome (12325452321).

The spelling of 10203222120 in words is "ten billion, two hundred three million, two hundred twenty-two thousand, one hundred twenty".