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11000321000 = 235313979139
BaseRepresentation
bin10100011111010101…
…11001001111101000
31001101122001012120022
422033222321033220
5140012040233000
65015315020012
7536412120464
oct121752711750
931348035508
1011000321000
114735437a89
12216bb9a608
13106400a7a6
14764d554a4
15445b04585
hex28fab93e8

11000321000 has 64 divisors (see below), whose sum is σ = 25926264000. Its totient is φ = 4368417600.

The previous prime is 11000320979. The next prime is 11000321039. The reversal of 11000321000 is 12300011.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 15 ways as a sum of consecutive naturals, for example, 99431 + ... + 178569.

It is an arithmetic number, because the mean of its divisors is an integer number (405097875).

Almost surely, 211000321000 is an apocalyptic number.

11000321000 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 11000321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963132000).

11000321000 is an abundant number, since it is smaller than the sum of its proper divisors (14925943000).

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

11000321000 is a wasteful number, since it uses less digits than its factorization.

11000321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79299 (or 79285 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11000321000 its reverse (12300011), we get a palindrome (11012621011).

The spelling of 11000321000 in words is "eleven billion, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 200 250 278 500 556 695 1000 1112 1390 2780 3475 5560 6950 13900 17375 27800 34750 69500 79139 139000 158278 316556 395695 633112 791390 1582780 1978475 3165560 3956950 7913900 9892375 11000321 15827800 19784750 22000642 39569500 44001284 55001605 79139000 88002568 110003210 220006420 275008025 440012840 550016050 1100032100 1375040125 2200064200 2750080250 5500160500 11000321000