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11002102000 = 245319419691
BaseRepresentation
bin10100011111100011…
…01100000011110000
31001101202101200122021
422033301230003300
5140013014231000
65015421121224
7536433216061
oct121761540360
931352350567
1011002102000
11473644408a
1221706b9214
1310644b2336
1476529a568
15445d5711a
hex28fc6c0f0

11002102000 has 160 divisors (see below), whose sum is σ = 28110700800. Its totient is φ = 4153248000.

The previous prime is 11002101989. The next prime is 11002102009. The reversal of 11002102000 is 20120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002102009) 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, 15921655 + ... + 15922345.

It is an arithmetic number, because the mean of its divisors is an integer number (175691880).

Almost surely, 211002102000 is an apocalyptic number.

11002102000 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 11002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055350400).

11002102000 is an abundant number, since it is smaller than the sum of its proper divisors (17108598800).

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

11002102000 is a wasteful number, since it uses less digits than its factorization.

11002102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11002102000 its reverse (20120011), we get a palindrome (11022222011).

The spelling of 11002102000 in words is "eleven billion, two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 419 475 500 691 760 838 950 1000 1382 1520 1676 1900 2000 2095 2375 2764 3352 3455 3800 4190 4750 5528 6704 6910 7600 7961 8380 9500 10475 11056 13129 13820 15922 16760 17275 19000 20950 26258 27640 31844 33520 34550 38000 39805 41900 52375 52516 55280 63688 65645 69100 79610 83800 86375 104750 105032 127376 131290 138200 159220 167600 172750 199025 209500 210064 262580 276400 289529 318440 328225 345500 398050 419000 525160 579058 636880 656450 691000 796100 838000 995125 1050320 1158116 1312900 1382000 1447645 1592200 1641125 1990250 2316232 2625800 2895290 3184400 3282250 3980500 4632464 5251600 5501051 5790580 6564500 7238225 7961000 11002102 11581160 13129000 14476450 15922000 22004204 23162320 26258000 27505255 28952900 36191125 44008408 55010510 57905800 72382250 88016816 110021020 115811600 137526275 144764500 220042040 275052550 289529000 440084080 550105100 579058000 687631375 1100210200 1375262750 2200420400 2750525500 5501051000 11002102000