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10001011000 = 235319618629
BaseRepresentation
bin10010101000001101…
…10101000100111000
3221210222122222221211
421110012311010320
5130440224323000
64332220212504
7502556122321
oct112406650470
927728588854
1010001011000
114272345652
121b3139a134
13c34c826b6
146ac347448
153d800c7ba
hex2541b5138

10001011000 has 128 divisors (see below), whose sum is σ = 25040808000. Its totient is φ = 3727296000.

The previous prime is 10001010997. The next prime is 10001011001. The reversal of 10001011000 is 11010001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011001) 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, 1154686 + ... + 1163314.

Almost surely, 210001011000 is an apocalyptic number.

10001011000 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 10001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520404000).

10001011000 is an abundant number, since it is smaller than the sum of its proper divisors (15039797000).

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

10001011000 is a wasteful number, since it uses less digits than its factorization.

10001011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10001011000 its reverse (11010001), we get a palindrome (10012021001).

Subtracting from 10001011000 its reverse (11010001), we obtain a palindrome (9990000999).

The spelling of 10001011000 in words is "ten billion, one million, eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 61 76 95 100 122 125 152 190 200 244 250 305 380 475 488 500 610 760 950 1000 1159 1220 1525 1900 2318 2375 2440 3050 3800 4636 4750 5795 6100 7625 8629 9272 9500 11590 12200 15250 17258 19000 23180 28975 30500 34516 43145 46360 57950 61000 69032 86290 115900 144875 163951 172580 215725 231800 289750 327902 345160 431450 526369 579500 655804 819755 862900 1052738 1078625 1159000 1311608 1639510 1725800 2105476 2157250 2631845 3279020 4098775 4210952 4314500 5263690 6558040 8197550 8629000 10001011 10527380 13159225 16395100 20002022 20493875 21054760 26318450 32790200 40004044 40987750 50005055 52636900 65796125 80008088 81975500 100010110 105273800 131592250 163951000 200020220 250025275 263184500 400040440 500050550 526369000 1000101100 1250126375 2000202200 2500252750 5000505500 10001011000