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10142243000 = 235337327191
BaseRepresentation
bin10010111001000011…
…00101100010111000
3222011211102022211122
421130201211202320
5131232403234000
64354223244412
7506222433401
oct113441454270
928154368748
1010142243000
11433503930a
121b70749708
13c58301726
146c2dcc9a8
153e5609085
hex25c8658b8

10142243000 has 64 divisors (see below), whose sum is σ = 23797350720. Its totient is φ = 4045872000.

The previous prime is 10142242967. The next prime is 10142243011. The reversal of 10142243000 is 34224101.

It is a self number, because there is not a number n which added to its sum of digits gives 10142243000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359405 + ... + 386595.

It is an arithmetic number, because the mean of its divisors is an integer number (371833605).

Almost surely, 210142243000 is an apocalyptic number.

10142243000 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 10142243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11898675360).

10142243000 is an abundant number, since it is smaller than the sum of its proper divisors (13655107720).

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

10142243000 is a wasteful number, since it uses less digits than its factorization.

10142243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27585 (or 27571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10142243000 its reverse (34224101), we get a palindrome (10176467101).

The spelling of 10142243000 in words is "ten billion, one hundred forty-two million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 373 500 746 1000 1492 1865 2984 3730 7460 9325 14920 18650 27191 37300 46625 54382 74600 93250 108764 135955 186500 217528 271910 373000 543820 679775 1087640 1359550 2719100 3398875 5438200 6797750 10142243 13595500 20284486 27191000 40568972 50711215 81137944 101422430 202844860 253556075 405689720 507112150 1014224300 1267780375 2028448600 2535560750 5071121500 10142243000