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1000031321120 = 25513480784289
BaseRepresentation
bin11101000110101101000…
…00101111110000100000
310112121020220100200222112
432203112200233300200
5112341031004233440
62043224045454452
7132151464656156
oct16432640576040
93477226320875
101000031321120
11356124678a17
12141990571428
13733c1913c50
143658a67b3d6
151b02e3a1965
hexe8d682fc20

1000031321120 has 48 divisors (see below), whose sum is σ = 2544310462680. Its totient is φ = 369242333184.

The previous prime is 1000031321083. The next prime is 1000031321137. The reversal of 1000031321120 is 211231300001.

It can be written as a sum of positive squares in 4 ways, for example, as 801332909584 + 198698411536 = 895172^2 + 445756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000031321095 and 1000031321104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240390065 + ... + 240394224.

Almost surely, 21000031321120 is an apocalyptic number.

1000031321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000031321120 is an abundant number, since it is smaller than the sum of its proper divisors (1544279141560).

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

1000031321120 is a wasteful number, since it uses less digits than its factorization.

1000031321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480784317 (or 480784309 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1000031321120 its reverse (211231300001), we get a palindrome (1211262621121).

The spelling of 1000031321120 in words is "one trillion, thirty-one million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 480784289 961568578 1923137156 2403921445 3846274312 4807842890 6250195757 7692548624 9615685780 12500391514 15385097248 19231371560 25000783028 31250978785 38462743120 50001566056 62501957570 76925486240 100003132112 125003915140 200006264224 250007830280 500015660560 1000031321120