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1142031420200 = 2352112291799091
BaseRepresentation
bin10000100111100110011…
…000001000101100101000
311001011210010121010212102
4100213212120020230220
5122202340020421300
62232350400432532
7145336413622136
oct20474630105450
94034703533772
101142031420200
11400372a67100
12165400018748
1383901986408
143d3bb78c756
151ea909a50d5
hex109e6608b28

1142031420200 has 288 divisors, whose sum is σ = 3036391596000. Its totient is φ = 398680128000.

The previous prime is 1142031420139. The next prime is 1142031420209. The reversal of 1142031420200 is 20241302411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1142031420209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125617655 + ... + 125626745.

It is an arithmetic number, because the mean of its divisors is an integer number (10543026375).

Almost surely, 21142031420200 is an apocalyptic number.

1142031420200 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 1142031420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518195798000).

1142031420200 is an abundant number, since it is smaller than the sum of its proper divisors (1894360175800).

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

1142031420200 is a wasteful number, since it uses less digits than its factorization.

1142031420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9337 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1142031420200 its reverse (20241302411), we get a palindrome (1162272722611).

The spelling of 1142031420200 in words is "one trillion, one hundred forty-two billion, thirty-one million, four hundred twenty thousand, two hundred".