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10554311000 = 235318715641
BaseRepresentation
bin10011101010001011…
…00000000101011000
31000020112210112212102
421311011200011120
5133103400423000
64503143302532
7522355110002
oct116505400530
930215715772
1010554311000
1145266a7082
12206674aa48
13cc27a9c4c
14721a15372
1541b8a33d5
hex275160158

10554311000 has 64 divisors (see below), whose sum is σ = 24714668160. Its totient is φ = 4218720000.

The previous prime is 10554310961. The next prime is 10554311003. The reversal of 10554311000 is 11345501.

It is a super-2 number, since 2×105543110002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10554311003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1868180 + ... + 1873820.

It is an arithmetic number, because the mean of its divisors is an integer number (386166690).

Almost surely, 210554311000 is an apocalyptic number.

10554311000 is a gapful number since it is divisible by the number (10) 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 10554311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357334080).

10554311000 is an abundant number, since it is smaller than the sum of its proper divisors (14160357160).

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

10554311000 is a wasteful number, since it uses less digits than its factorization.

10554311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 10554311000 its reverse (11345501), we get a palindrome (10565656501).

The spelling of 10554311000 in words is "ten billion, five hundred fifty-four million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1871 3742 5641 7484 9355 11282 14968 18710 22564 28205 37420 45128 46775 56410 74840 93550 112820 141025 187100 225640 233875 282050 374200 467750 564100 705125 935500 1128200 1410250 1871000 2820500 5641000 10554311 21108622 42217244 52771555 84434488 105543110 211086220 263857775 422172440 527715550 1055431100 1319288875 2110862200 2638577750 5277155500 10554311000