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1001120031 = 32491226549
BaseRepresentation
bin111011101010111…
…110000100011111
32120202210011111200
4323222332010133
54022241320111
6243201250543
733544244202
oct7352760437
92522704450
101001120031
1147411932a
1223b333a53
1312c53cc22
1496d5d939
155cd53256
hex3babe11f

1001120031 has 12 divisors (see below), whose sum is σ = 1449013800. Its totient is φ = 666051120.

The previous prime is 1001120009. The next prime is 1001120039. The reversal of 1001120031 is 1300211001.

It is not a de Polignac number, because 1001120031 - 26 = 1001119967 is a prime.

It is a super-2 number, since 2×10011200312 = 2004482632938881922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001119995 and 1001120022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001120039) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 108856 + ... + 117693.

It is an arithmetic number, because the mean of its divisors is an integer number (120751150).

Almost surely, 21001120031 is an apocalyptic number.

1001120031 is a deficient number, since it is larger than the sum of its proper divisors (447893769).

1001120031 is a wasteful number, since it uses less digits than its factorization.

1001120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227046 (or 227043 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1001120031 is about 31640.4808907829. The cubic root of 1001120031 is about 1000.3732043678.

Adding to 1001120031 its reverse (1300211001), we get a palindrome (2301331032).

The spelling of 1001120031 in words is "one billion, one million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 9 491 1473 4419 226549 679647 2038941 111235559 333706677 1001120031