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1000111020 = 2235171138677
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".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 113 170 204 226 255 339 340 452 510 565 678 1020 1130 1356 1695 1921 2260 3390 3842 5763 6780 7684 8677 9605 11526 17354 19210 23052 26031 28815 34708 38420 43385 52062 57630 86770 104124 115260 130155 147509 173540 260310 295018 442527 520620 590036 737545 885054 980501 1475090 1770108 1961002 2212635 2941503 2950180 3922004 4425270 4902505 5883006 8850540 9805010 11766012 14707515 16668517 19610020 29415030 33337034 50005551 58830060 66674068 83342585 100011102 166685170 200022204 250027755 333370340 500055510 1000111020