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11001201000 = 233538941203
BaseRepresentation
bin10100011111011100…
…10000000101101000
31001101200200220200220
422033232100011220
5140012301413000
65015345530040
7536422444206
oct121756200550
931350626626
1011001201000
114735989159
122170343920
1310642581ba
14765104076
15445c2a1a0
hex28fb90168

11001201000 has 128 divisors (see below), whose sum is σ = 34710249600. Its totient is φ = 2900620800.

The previous prime is 11001200989. The next prime is 11001201019. The reversal of 11001201000 is 10210011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11001201000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246399 + ... + 287601.

It is an arithmetic number, because the mean of its divisors is an integer number (271173825).

Almost surely, 211001201000 is an apocalyptic number.

11001201000 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 11001201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355124800).

11001201000 is an abundant number, since it is smaller than the sum of its proper divisors (23709048600).

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

11001201000 is a wasteful number, since it uses less digits than its factorization.

11001201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41316 (or 41302 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11001201000 its reverse (10210011), we get a palindrome (11011411011).

The spelling of 11001201000 in words is "eleven billion, one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 125 150 178 200 250 267 300 356 375 445 500 534 600 712 750 890 1000 1068 1335 1500 1780 2136 2225 2670 3000 3560 4450 5340 6675 8900 10680 11125 13350 17800 22250 26700 33375 41203 44500 53400 66750 82406 89000 123609 133500 164812 206015 247218 267000 329624 412030 494436 618045 824060 988872 1030075 1236090 1648120 2060150 2472180 3090225 3667067 4120300 4944360 5150375 6180450 7334134 8240600 10300750 11001201 12360900 14668268 15451125 18335335 20601500 22002402 24721800 29336536 30902250 36670670 41203000 44004804 55006005 61804500 73341340 88009608 91676675 110012010 123609000 146682680 183353350 220024020 275030025 366706700 440048040 458383375 550060050 733413400 916766750 1100120100 1375150125 1833533500 2200240200 2750300250 3667067000 5500600500 11001201000