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10001103000 = 233537476243
BaseRepresentation
bin10010101000001110…
…01011100010011000
3221210222211200011020
421110013023202120
5130440240244000
64332222202440
7502556654460
oct112407134230
927728750136
1010001103000
1142723a8789
121b31423420
13c34cb5535
146ac36cba0
153d8029ba0
hex2541cb898

10001103000 has 128 divisors (see below), whose sum is σ = 35661150720. Its totient is φ = 2285961600.

The previous prime is 10001102987. The next prime is 10001103019. The reversal of 10001103000 is 30110001.

It is a super-2 number, since 2×100011030002 (a number of 21 digits) contains 22 as substring.

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 10001103000.

It is a congruent number.

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, 217122 + ... + 259121.

It is an arithmetic number, because the mean of its divisors is an integer number (278602740).

Almost surely, 210001103000 is an apocalyptic number.

10001103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001103000 is an abundant number, since it is smaller than the sum of its proper divisors (25660047720).

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

10001103000 is a wasteful number, since it uses less digits than its factorization.

10001103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476274 (or 476260 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 10001103000 its reverse (30110001), we get a palindrome (10031213001).

The spelling of 10001103000 in words is "ten billion, one million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 476243 952486 1428729 1904972 2381215 2857458 3333701 3809944 4762430 5714916 6667402 7143645 9524860 10001103 11429832 11906075 13334804 14287290 16668505 19049720 20002206 23812150 26669608 28574580 33337010 35718225 40004412 47624300 50005515 57149160 59530375 66674020 71436450 80008824 83342525 95248600 100011030 119060750 133348040 142872900 166685050 178591125 200022060 238121500 250027575 285745800 333370100 357182250 400044120 416712625 476243000 500055150 666740200 714364500 833425250 1000110300 1250137875 1428729000 1666850500 2000220600 2500275750 3333701000 5000551500 10001103000