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1140022333300 = 225289137934981
BaseRepresentation
bin10000100101101110101…
…000000100111101110100
311000222121010010221202111
4100211232220010331310
5122134231204131200
62231415151020404
7145235546643004
oct20455650047564
94028533127674
101140022333300
113aa531983404
12164b3b20a704
1383671679cb6
143d26aa0a004
151e9c43ea0ba
hex1096ea04f74

1140022333300 has 72 divisors (see below), whose sum is σ = 2519907387480. Its totient is φ = 447593625600.

The previous prime is 1140022333297. The next prime is 1140022333319. The reversal of 1140022333300 is 33332200411.

It can be written as a sum of positive squares in 12 ways, for example, as 419795143056 + 720227190244 = 647916^2 + 848662^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 751810 + ... + 1686790.

It is an arithmetic number, because the mean of its divisors is an integer number (34998713715).

Almost surely, 21140022333300 is an apocalyptic number.

1140022333300 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 1140022333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259953693740).

1140022333300 is an abundant number, since it is smaller than the sum of its proper divisors (1379885054180).

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

1140022333300 is a wasteful number, since it uses less digits than its factorization.

1140022333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935221 (or 935214 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1140022333300 its reverse (33332200411), we get a palindrome (1173354533711).

The spelling of 1140022333300 in words is "one trillion, one hundred forty billion, twenty-two million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 137 178 274 356 445 548 685 890 1370 1780 2225 2740 3425 4450 6850 8900 12193 13700 24386 48772 60965 121930 243860 304825 609650 934981 1219300 1869962 3739924 4674905 9349810 18699620 23374525 46749050 83213309 93498100 128092397 166426618 256184794 332853236 416066545 512369588 640461985 832133090 1280923970 1664266180 2080332725 2561847940 3202309925 4160665450 6404619850 8321330900 11400223333 12809239700 22800446666 45600893332 57001116665 114002233330 228004466660 285005583325 570011166650 1140022333300