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10552333000 = 2353111516353
BaseRepresentation
bin10011101001111011…
…11101001011001000
31000020102002001120011
421310331331023020
5133102344124000
64503033041304
7522332231146
oct116475751310
930212061504
1010552333000
114525575a70
122065b56234
13cc2266831
1472165c596
1541b6122ba
hex274f7d2c8

10552333000 has 128 divisors (see below), whose sum is σ = 27119888640. Its totient is φ = 3811200000.

The previous prime is 10552332997. The next prime is 10552333013. The reversal of 10552333000 is 33325501.

It is a happy number.

It is a super-2 number, since 2×105523330002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 1657824 + ... + 1664176.

It is an arithmetic number, because the mean of its divisors is an integer number (211874130).

Almost surely, 210552333000 is an apocalyptic number.

10552333000 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 10552333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559944320).

10552333000 is an abundant number, since it is smaller than the sum of its proper divisors (16567555640).

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

10552333000 is a wasteful number, since it uses less digits than its factorization.

10552333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

Adding to 10552333000 its reverse (33325501), we get a palindrome (10585658501).

The spelling of 10552333000 in words is "ten billion, five hundred fifty-two million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 151 200 220 250 275 302 440 500 550 604 755 1000 1100 1208 1375 1510 1661 2200 2750 3020 3322 3775 5500 6040 6353 6644 7550 8305 11000 12706 13288 15100 16610 18875 25412 30200 31765 33220 37750 41525 50824 63530 66440 69883 75500 83050 127060 139766 151000 158825 166100 207625 254120 279532 317650 332200 349415 415250 559064 635300 698830 794125 830500 959303 1270600 1397660 1588250 1661000 1747075 1918606 2795320 3176500 3494150 3837212 4796515 6353000 6988300 7674424 8735375 9593030 10552333 13976600 17470750 19186060 21104666 23982575 34941500 38372120 42209332 47965150 52761665 69883000 84418664 95930300 105523330 119912875 191860600 211046660 239825750 263808325 422093320 479651500 527616650 959303000 1055233300 1319041625 2110466600 2638083250 5276166500 10552333000