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106316452100 = 22522239474839
BaseRepresentation
bin110001100000011110…
…1000101000100000100
3101011102101011100121002
41203000331011010010
53220214002431400
6120501402312432
710452422634515
oct1430075050404
9334371140532
10106316452100
11410a7958051
12187311b8718
13a044316871
145207cc6a0c
152b73a30ed5
hex18c0f45104

106316452100 has 36 divisors (see below), whose sum is σ = 230810227200. Its totient is φ = 42507497760.

The previous prime is 106316452093. The next prime is 106316452111. The reversal of 106316452100 is 1254613601.

It is a happy number.

It is a super-2 number, since 2×1063164521002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13520 + ... + 461319.

It is an arithmetic number, because the mean of its divisors is an integer number (6411395200).

Almost surely, 2106316452100 is an apocalyptic number.

106316452100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106316452100 is an abundant number, since it is smaller than the sum of its proper divisors (124493775100).

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

106316452100 is a wasteful number, since it uses less digits than its factorization.

106316452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477092 (or 477085 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 106316452100 in words is "one hundred six billion, three hundred sixteen million, four hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2239 4478 8956 11195 22390 44780 55975 111950 223900 474839 949678 1899356 2374195 4748390 9496780 11870975 23741950 47483900 1063164521 2126329042 4252658084 5315822605 10631645210 21263290420 26579113025 53158226050 106316452100