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1002110100 = 223523340367
BaseRepresentation
bin111011101110101…
…111110010010100
32120211122110121220
4323232233302110
54023020010400
6243234410340
733555536535
oct7356576224
92524573556
101002110100
11474735172
1223b7309b0
1312c7c8774
149713a68c
155ce9b7a0
hex3bbafc94

1002110100 has 36 divisors (see below), whose sum is σ = 2899439424. Its totient is φ = 267229280.

The previous prime is 1002110059. The next prime is 1002110111. The reversal of 1002110100 is 10112001.

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 a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1669884 + ... + 1670483.

It is an arithmetic number, because the mean of its divisors is an integer number (80539984).

Almost surely, 21002110100 is an apocalyptic number.

1002110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002110100 is an abundant number, since it is smaller than the sum of its proper divisors (1897329324).

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

1002110100 is a wasteful number, since it uses less digits than its factorization.

1002110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340384 (or 3340377 counting only the distinct ones).

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

The square root of 1002110100 is about 31656.1226305434. The cubic root of 1002110100 is about 1000.7028725211.

Adding to 1002110100 its reverse (10112001), we get a palindrome (1012222101).

The spelling of 1002110100 in words is "one billion, two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3340367 6680734 10021101 13361468 16701835 20042202 33403670 40084404 50105505 66807340 83509175 100211010 167018350 200422020 250527525 334036700 501055050 1002110100