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11103031000 = 2353101211521
BaseRepresentation
bin10100101011100101…
…01100111011011000
31001122210022102012101
422111302230323120
5140214333443000
65033424253144
7542100130525
oct122562547330
931583272171
1011103031000
11478840a586
12219a4711b4
13107c38c939
1477485014c
1544eb41e6a
hex295caced8

11103031000 has 128 divisors (see below), whose sum is σ = 26413283520. Its totient is φ = 4368000000.

The previous prime is 11103030979. The next prime is 11103031001. The reversal of 11103031000 is 13030111.

It is a super-2 number, since 2×111030310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103031001) 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, 21310740 + ... + 21311260.

Almost surely, 211103031000 is an apocalyptic number.

11103031000 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 11103031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206641760).

11103031000 is an abundant number, since it is smaller than the sum of its proper divisors (15310252520).

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

11103031000 is a wasteful number, since it uses less digits than its factorization.

11103031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11103031000 its reverse (13030111), we get a palindrome (11116061111).

The spelling of 11103031000 in words is "eleven billion, one hundred three million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 211 250 404 422 500 505 521 808 844 1000 1010 1042 1055 1688 2020 2084 2110 2525 2605 4040 4168 4220 5050 5210 5275 8440 10100 10420 10550 12625 13025 20200 20840 21100 21311 25250 26050 26375 42200 42622 50500 52100 52621 52750 65125 85244 101000 104200 105242 105500 106555 109931 130250 170488 210484 211000 213110 219862 260500 263105 420968 426220 439724 521000 526210 532775 549655 852440 879448 1052420 1065550 1099310 1315525 2104840 2131100 2198620 2631050 2663875 2748275 4262200 4397240 5262100 5327750 5496550 6577625 10524200 10655500 10993100 11103031 13155250 13741375 21311000 21986200 22206062 26310500 27482750 44412124 52621000 54965500 55515155 88824248 109931000 111030310 222060620 277575775 444121240 555151550 1110303100 1387878875 2220606200 2775757750 5551515500 11103031000