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1052023100 = 225241594349
BaseRepresentation
bin111110101101001…
…001100100111100
32201022120022101112
4332231021210330
54123304214400
6252220301152
735033022512
oct7655114474
92638508345
101052023100
1149a926587
122543a17b8
13139c5339b
149da104b2
156255a835
hex3eb4993c

1052023100 has 72 divisors (see below), whose sum is σ = 2378754000. Its totient is φ = 403494400.

The previous prime is 1052023097. The next prime is 1052023123. The reversal of 1052023100 is 13202501.

It is a happy number.

It is a super-2 number, since 2×10520231002 = 2213505205867220000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 239726 + ... + 244074.

It is an arithmetic number, because the mean of its divisors is an integer number (33038250).

Almost surely, 21052023100 is an apocalyptic number.

1052023100 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 1052023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189377000).

1052023100 is an abundant number, since it is smaller than the sum of its proper divisors (1326730900).

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

1052023100 is a wasteful number, since it uses less digits than its factorization.

1052023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1052023100 is about 32434.9055802541. The cubic root of 1052023100 is about 1017.0487226030.

Adding to 1052023100 its reverse (13202501), we get a palindrome (1065225601).

The spelling of 1052023100 in words is "one billion, fifty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 59 82 100 118 164 205 236 295 410 590 820 1025 1180 1475 2050 2419 2950 4100 4349 4838 5900 8698 9676 12095 17396 21745 24190 43490 48380 60475 86980 108725 120950 178309 217450 241900 256591 356618 434900 513182 713236 891545 1026364 1282955 1783090 2565910 3566180 4457725 5131820 6414775 8915450 10520231 12829550 17830900 21040462 25659100 42080924 52601155 105202310 210404620 263005775 526011550 1052023100