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1001120100 = 223523790191
BaseRepresentation
bin111011101010111…
…110000101100100
32120202210011121020
4323222332011210
54022241320400
6243201251140
733544244331
oct7352760544
92522704536
101001120100
11474119392
1223b333ab0
1312c53cc76
1496d5d988
155cd532a0
hex3babe164

1001120100 has 72 divisors (see below), whose sum is σ = 2974892928. Its totient is φ = 259747200.

The previous prime is 1001120041. The next prime is 1001120101. The reversal of 1001120100 is 10211001.

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 (1001120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33996 + ... + 56195.

Almost surely, 21001120100 is an apocalyptic number.

1001120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001120100 is an abundant number, since it is smaller than the sum of its proper divisors (1973772828).

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

1001120100 is a wasteful number, since it uses less digits than its factorization.

1001120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90245 (or 90238 counting only the distinct ones).

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

The square root of 1001120100 is about 31640.4819811583. The cubic root of 1001120100 is about 1000.3732273507.

Adding to 1001120100 its reverse (10211001), we get a palindrome (1011331101).

Subtracting from 1001120100 its reverse (10211001), we obtain a palindrome (990909099).

The spelling of 1001120100 in words is "one billion, one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 90191 180382 270573 360764 450955 541146 901910 1082292 1352865 1803820 2254775 2705730 3337067 4509550 5411460 6674134 6764325 9019100 10011201 13348268 13528650 16685335 20022402 27057300 33370670 40044804 50056005 66741340 83426675 100112010 166853350 200224020 250280025 333706700 500560050 1001120100