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100030011000 = 2335342017937
BaseRepresentation
bin101110100101001000…
…0001101011001111000
3100120012021010001121020
41131022100031121320
53114330140323000
6113541514142440
710140560031063
oct1351220153170
9316167101536
10100030011000
1139471373887
1217477a21a20
139581ab972a
144bad0338da
152906bb6ba0
hex174a40d678

100030011000 has 128 divisors (see below), whose sum is σ = 312207255360. Its totient is φ = 26664960000.

The previous prime is 100030010989. The next prime is 100030011031. The reversal of 100030011000 is 110030001.

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 100030011000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12599032 + ... + 12606968.

Almost surely, 2100030011000 is an apocalyptic number.

100030011000 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 100030011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156103627680).

100030011000 is an abundant number, since it is smaller than the sum of its proper divisors (212177244360).

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

100030011000 is a wasteful number, since it uses less digits than its factorization.

100030011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162 (or 12148 counting only the distinct ones).

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

Adding to 100030011000 its reverse (110030001), we get a palindrome (100140041001).

The spelling of 100030011000 in words is "one hundred billion, thirty million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4201 7937 8402 12603 15874 16804 21005 23811 25206 31748 33608 39685 42010 47622 50412 63015 63496 79370 84020 95244 100824 105025 119055 126030 158740 168040 190488 198425 210050 238110 252060 315075 317480 396850 420100 476220 504120 525125 595275 630150 793700 840200 952440 992125 1050250 1190550 1260300 1575375 1587400 1984250 2100500 2381100 2520600 2976375 3150750 3968500 4201000 4762200 5952750 6301500 7937000 11905500 12603000 23811000 33343337 66686674 100030011 133373348 166716685 200060022 266746696 333433370 400120044 500150055 666866740 800240088 833583425 1000300110 1333733480 1667166850 2000600220 2500750275 3334333700 4001200440 4167917125 5001500550 6668667400 8335834250 10003001100 12503751375 16671668500 20006002200 25007502750 33343337000 50015005500 100030011000