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10023100 = 2252113887
BaseRepresentation
bin100110001111…
…000010111100
3200212020002221
4212033002330
510031214400
6554455124
7151123603
oct46170274
920766087
1010023100
11572655a
1234344a4
1320cc239
14148ca3a
15d2ec1a
hex98f0bc

10023100 has 36 divisors (see below), whose sum is σ = 21967344. Its totient is φ = 3969280.

The previous prime is 10023077. The next prime is 10023103. The reversal of 10023100 is 132001.

10023100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100231002 = 200925067220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10857 + ... + 11743.

It is an arithmetic number, because the mean of its divisors is an integer number (610204).

Almost surely, 210023100 is an apocalyptic number.

10023100 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 10023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983672).

10023100 is an abundant number, since it is smaller than the sum of its proper divisors (11944244).

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

10023100 is a wasteful number, since it uses less digits than its factorization.

10023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10023100 is about 3165.9279840199. The cubic root of 10023100 is about 215.6092329016.

Adding to 10023100 its reverse (132001), we get a palindrome (10155101).

The spelling of 10023100 in words is "ten million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 887 1130 1774 2260 2825 3548 4435 5650 8870 11300 17740 22175 44350 88700 100231 200462 400924 501155 1002310 2004620 2505775 5011550 10023100