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10303442100 = 22325273152757
BaseRepresentation
bin10011001100010001…
…00000110010110100
3222121001202002102200
421212020200302310
5132100140121400
64422222304500
7513220545540
oct114610406264
928531662380
1010303442100
11440802a606
121bb6728130
13c82821c03
146da590a20
1540484bb00
hex266220cb4

10303442100 has 216 divisors, whose sum is σ = 38100561408. Its totient is φ = 2279059200.

The previous prime is 10303442099. The next prime is 10303442111. The reversal of 10303442100 is 124430301.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168922 + ... + 221678.

It is an arithmetic number, because the mean of its divisors is an integer number (176391488).

Almost surely, 210303442100 is an apocalyptic number.

10303442100 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 10303442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19050280704).

10303442100 is an abundant number, since it is smaller than the sum of its proper divisors (27797119308).

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

10303442100 is a wasteful number, since it uses less digits than its factorization.

10303442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52815 (or 52805 counting only the distinct ones).

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

Adding to 10303442100 its reverse (124430301), we get a palindrome (10427872401).

The spelling of 10303442100 in words is "ten billion, three hundred three million, four hundred forty-two thousand, one hundred".