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BaseRepresentation
bin111011100111000…
…111101110101100
32120200212220101220
4323213013232230
54022012023040
6243123503340
733532542366
oct7347075654
92520786356
101000111020
1147359a237
1223ab27b50
1312c27888c
1496b79d36
155cc042d0
hex3b9c7bac

1000111020 has 96 divisors (see below), whose sum is σ = 2991619008. Its totient is φ = 248758272.

The previous prime is 1000110997. The next prime is 1000111027. The reversal of 1000111020 is 201110001.

Adding to 1000111020 its reverse (201110001), we get a palindrome (1201221021).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1000111027) 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 31 ways as a sum of consecutive naturals, for example, 110922 + ... + 119598.

It is an arithmetic number, because the mean of its divisors is an integer number (31162698).

Almost surely, 21000111020 is an apocalyptic number.

1000111020 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 1000111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495809504).

1000111020 is an abundant number, since it is smaller than the sum of its proper divisors (1991507988).

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

1000111020 is a wasteful number, since it uses less digits than its factorization.

1000111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1000111020 is about 31624.5319332951. The cubic root of 1000111020 is about 1000.0370052973.

The spelling of 1000111020 in words is "one billion, one hundred eleven thousand, twenty".