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553312100 = 225211677743
BaseRepresentation
bin100000111110101…
…101111101100100
31102120011011111202
4200332231331210
52113121441400
6130523222032
716466034545
oct4076557544
91376134452
10553312100
1126436a630
12135377918
138a82cc13
14536b24cc
15338994d5
hex20fadf64

553312100 has 72 divisors (see below), whose sum is σ = 1313540928. Its totient is φ = 200636800.

The previous prime is 553312079. The next prime is 553312121. The reversal of 553312100 is 1213355.

It is an interprime number because it is at equal distance from previous prime (553312079) and next prime (553312121).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 744329 + ... + 745071.

It is an arithmetic number, because the mean of its divisors is an integer number (18243624).

Almost surely, 2553312100 is an apocalyptic number.

553312100 is a gapful number since it is divisible by the number (50) 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 553312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656770464).

553312100 is an abundant number, since it is smaller than the sum of its proper divisors (760228828).

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

553312100 is a wasteful number, since it uses less digits than its factorization.

553312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 553312100 is about 23522.5870175880. The cubic root of 553312100 is about 820.9626311360.

Adding to 553312100 its reverse (1213355), we get a palindrome (554525455).

The spelling of 553312100 in words is "five hundred fifty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 677 743 1100 1354 1486 2708 2972 3385 3715 6770 7430 7447 8173 13540 14860 14894 16346 16925 18575 29788 32692 33850 37150 37235 40865 67700 74300 74470 81730 148940 163460 186175 204325 372350 408650 503011 744700 817300 1006022 2012044 2515055 5030110 5533121 10060220 11066242 12575275 22132484 25150550 27665605 50301100 55331210 110662420 138328025 276656050 553312100