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1143223973010 = 234572192731093
BaseRepresentation
bin10000101000101101011…
…101010111010010010010
311001021212020121002210000
4100220231131113102102
5122212310314114020
62233105001150430
7145411104302400
oct20505535272222
94037766532700
101143223973010
11400925146739
1216569348b416
1383a61a70c72
143d491d00470
151eb1051e090
hex10a2d757492

1143223973010 has 720 divisors, whose sum is σ = 3829188522456. Its totient is φ = 243940709376.

The previous prime is 1143223972939. The next prime is 1143223973057. The reversal of 1143223973010 is 103793223411.

1143223973010 is a `hidden beast` number, since 1 + 1 + 43 + 223 + 97 + 301 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1132379041689 + 10844931321 = 1064133^2 + 104139^2 .

It is a super-2 number, since 2×11432239730102 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1045950024 + ... + 1045951116.

Almost surely, 21143223973010 is an apocalyptic number.

1143223973010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143223973010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914594261228).

1143223973010 is an abundant number, since it is smaller than the sum of its proper divisors (2685964549446).

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

1143223973010 is a wasteful number, since it uses less digits than its factorization.

1143223973010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1143223973010 in words is "one trillion, one hundred forty-three billion, two hundred twenty-three million, nine hundred seventy-three thousand, ten".