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10144523300 = 2252531914061
BaseRepresentation
bin10010111001010100…
…10010010000100100
3222011222201011211012
421130222102100210
5131233444221200
64354344201352
7506251011452
oct113452222044
928158634735
1010144523300
11433635655a
121b71469258
13c5891c612
146c34239d2
153e5909a35
hex25ca92424

10144523300 has 36 divisors (see below), whose sum is σ = 22428978516. Its totient is φ = 3981244800.

The previous prime is 10144523293. The next prime is 10144523327. The reversal of 10144523300 is 332544101.

It can be written as a sum of positive squares in 6 ways, for example, as 75203584 + 10069319716 = 8672^2 + 100346^2 .

It is a super-2 number, since 2×101445233002 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 951731 + ... + 962330.

It is an arithmetic number, because the mean of its divisors is an integer number (623027181).

Almost surely, 210144523300 is an apocalyptic number.

10144523300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144523300 is an abundant number, since it is smaller than the sum of its proper divisors (12284455216).

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

10144523300 is a wasteful number, since it uses less digits than its factorization.

10144523300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914128 (or 1914121 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 10144523300 in words is "ten billion, one hundred forty-four million, five hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 1914061 3828122 7656244 9570305 19140610 38281220 47851525 95703050 101445233 191406100 202890466 405780932 507226165 1014452330 2028904660 2536130825 5072261650 10144523300