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1030001100 = 2235217201961
BaseRepresentation
bin111101011001001…
…001000111001100
32122210010110212220
4331121021013030
54102140013400
6250112255340
734344602442
oct7531110714
92583113786
101030001100
11489455087
12248b41550
1313551280b
149ab1ab92
156065a7a0
hex3d6491cc

1030001100 has 72 divisors (see below), whose sum is σ = 3155454288. Its totient is φ = 258508800.

The previous prime is 1030001087. The next prime is 1030001101. The reversal of 1030001100 is 11000301.

1030001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1030001101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95881 + ... + 106080.

It is an arithmetic number, because the mean of its divisors is an integer number (43825754).

Almost surely, 21030001100 is an apocalyptic number.

1030001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030001100 is an abundant number, since it is smaller than the sum of its proper divisors (2125453188).

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

1030001100 is a wasteful number, since it uses less digits than its factorization.

1030001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201995 (or 201988 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1030001100 is about 32093.6302091241. The cubic root of 1030001100 is about 1009.9019935617.

Adding to 1030001100 its reverse (11000301), we get a palindrome (1041001401).

The spelling of 1030001100 in words is "one billion, thirty million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 201961 403922 605883 807844 1009805 1211766 2019610 2423532 3029415 3433337 4039220 5049025 6058830 6866674 10098050 10300011 12117660 13733348 15147075 17166685 20196100 20600022 30294150 34333370 41200044 51500055 60588300 68666740 85833425 103000110 171666850 206000220 257500275 343333700 515000550 1030001100