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10051030000 = 24541191373
BaseRepresentation
bin10010101110001011…
…01000101111110000
3221221110210020010101
421113011220233300
5131041030430000
64341204242144
7504034226314
oct112705505760
927843706111
1010051030000
1142985a9670
121b460a0354
13c4244663b
146b4c47b44
153dc5dce6a
hex257168bf0

10051030000 has 100 divisors (see below), whose sum is σ = 26547070968. Its totient is φ = 3654880000.

The previous prime is 10051029997. The next prime is 10051030027. The reversal of 10051030000 is 3015001.

10051030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 19 ways as a sum of consecutive naturals, for example, 64314 + ... + 155686.

Almost surely, 210051030000 is an apocalyptic number.

10051030000 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 10051030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273535484).

10051030000 is an abundant number, since it is smaller than the sum of its proper divisors (16496040968).

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

10051030000 is an equidigital number, since it uses as much as digits as its factorization.

10051030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91412 (or 91391 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

Adding to 10051030000 its reverse (3015001), we get a palindrome (10054045001).

The spelling of 10051030000 in words is "ten billion, fifty-one million, thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 91373 110000 182746 365492 456865 730984 913730 1005103 1461968 1827460 2010206 2284325 3654920 4020412 4568650 5025515 7309840 8040824 9137300 10051030 11421625 16081648 18274600 20102060 22843250 25127575 36549200 40204120 45686500 50255150 57108125 80408240 91373000 100510300 114216250 125637875 182746000 201020600 228432500 251275750 402041200 456865000 502551500 628189375 913730000 1005103000 1256378750 2010206000 2512757500 5025515000 10051030000