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1024120031 = 11162757223
BaseRepresentation
bin111101000010101…
…101010011011111
32122101001200120112
4331002231103133
54044133320111
6245342240235
734243606454
oct7502552337
92571050515
101024120031
114860a85a0
12246b8607b
131342339ac
149a02982b
155ed97e8b
hex3d0ad4df

1024120031 has 8 divisors (see below), whose sum is σ = 1117928064. Its totient is φ = 930429720.

The previous prime is 1024120021. The next prime is 1024120043. The reversal of 1024120031 is 1300214201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-1024120031 is a prime.

It is a super-2 number, since 2×10241200312 = 2097643675790881922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024119988 and 1024120015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024120021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10715 + ... + 46508.

It is an arithmetic number, because the mean of its divisors is an integer number (139741008).

Almost surely, 21024120031 is an apocalyptic number.

1024120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1024120031 is a deficient number, since it is larger than the sum of its proper divisors (93808033).

1024120031 is a wasteful number, since it uses less digits than its factorization.

1024120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58861.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1024120031 is about 32001.8754294182. The cubic root of 1024120031 is about 1007.9762210813.

Adding to 1024120031 its reverse (1300214201), we get a palindrome (2324334232).

The spelling of 1024120031 in words is "one billion, twenty-four million, one hundred twenty thousand, thirty-one".

Divisors: 1 11 1627 17897 57223 629453 93101821 1024120031