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10143012000 = 2535311431787
BaseRepresentation
bin10010111001001001…
…00001010010100000
3222011212212101201010
421130210201102200
5131233102341000
64354251540520
7506232115362
oct113444412240
928155771633
1010143012000
114335514050
121b70a5a740
13c58510764
146c314cd32
153e570bd50
hex25c9214a0

10143012000 has 384 divisors, whose sum is σ = 37113043968. Its totient is φ = 2400384000.

The previous prime is 10143011999. The next prime is 10143012001. The reversal of 10143012000 is 21034101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10143011999) and next prime (10143012001).

It is a super-3 number, since 3×101430120003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10143012001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5675107 + ... + 5676893.

It is an arithmetic number, because the mean of its divisors is an integer number (96648552).

Almost surely, 210143012000 is an apocalyptic number.

10143012000 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 10143012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556521984).

10143012000 is an abundant number, since it is smaller than the sum of its proper divisors (26970031968).

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

10143012000 is a wasteful number, since it uses less digits than its factorization.

10143012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10143012000 its reverse (21034101), we get a palindrome (10164046101).

The spelling of 10143012000 in words is "ten billion, one hundred forty-three million, twelve thousand".