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11002111000 = 2353175312211
BaseRepresentation
bin10100011111100011…
…01110010000011000
31001101202102010222121
422033301232100120
5140013020023000
65015421231024
7536433254236
oct121761562030
931352363877
1011002111000
11473644a921
122170702474
1310644b646a
1476529d956
15445d59b1a
hex28fc6e418

11002111000 has 128 divisors (see below), whose sum is σ = 27775949760. Its totient is φ = 4063488000.

The previous prime is 11002110997. The next prime is 11002111007. The reversal of 11002111000 is 11120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002111007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894895 + ... + 907105.

Almost surely, 211002111000 is an apocalyptic number.

11002111000 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 11002111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13887974880).

11002111000 is an abundant number, since it is smaller than the sum of its proper divisors (16773838760).

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

11002111000 is a wasteful number, since it uses less digits than its factorization.

11002111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12302 (or 12288 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11002111000 its reverse (11120011), we get a palindrome (11013231011).

The spelling of 11002111000 in words is "eleven billion, two million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 125 136 170 200 212 250 265 340 424 425 500 530 680 850 901 1000 1060 1325 1700 1802 2120 2125 2650 3400 3604 4250 4505 5300 6625 7208 8500 9010 10600 12211 13250 17000 18020 22525 24422 26500 36040 45050 48844 53000 61055 90100 97688 112625 122110 180200 207587 225250 244220 305275 415174 450500 488440 610550 647183 830348 901000 1037935 1221100 1294366 1526375 1660696 2075870 2442200 2588732 3052750 3235915 4151740 5177464 5189675 6105500 6471830 8303480 10379350 11002111 12211000 12943660 16179575 20758700 22004222 25887320 25948375 32359150 41517400 44008444 51896750 55010555 64718300 80897875 88016888 103793500 110021110 129436600 161795750 207587000 220042220 275052775 323591500 440084440 550105550 647183000 1100211100 1375263875 2200422200 2750527750 5501055500 11002111000