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10112011000 = 2353713111121
BaseRepresentation
bin10010110101011100…
…10000101011111000
3222002201112101022221
421122232100223320
5131202133323000
64351223253424
7505404450430
oct113256205370
928081471287
1010112011000
114319a6a593
121b625aa274
13c51c77c80
146bcd9d2c0
153e2b3661a
hex25ab90af8

10112011000 has 128 divisors (see below), whose sum is σ = 29122853760. Its totient is φ = 3200256000.

The previous prime is 10112010991. The next prime is 10112011031. The reversal of 10112011000 is 11021101.

10112011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 35440 + ... + 146560.

It is an arithmetic number, because the mean of its divisors is an integer number (227522295).

Almost surely, 210112011000 is an apocalyptic number.

10112011000 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 10112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561426880).

10112011000 is an abundant number, since it is smaller than the sum of its proper divisors (19010842760).

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

10112011000 is a wasteful number, since it uses less digits than its factorization.

10112011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111162 (or 111148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10112011000 its reverse (11021101), we get a palindrome (10123032101).

The spelling of 10112011000 in words is "ten billion, one hundred twelve million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 111121 222242 444484 555605 777847 888968 1111210 1444573 1555694 2222420 2778025 2889146 3111388 3889235 4444840 5556050 5778292 6222776 7222865 7778470 10112011 11112100 11556584 13890125 14445730 15556940 19446175 20224022 22224200 27780250 28891460 31113880 36114325 38892350 40448044 50560055 55560500 57782920 72228650 77784700 80896088 97230875 101120110 111121000 144457300 155569400 180571625 194461750 202240220 252800275 288914600 361143250 388923500 404480440 505600550 722286500 777847000 1011201100 1264001375 1444573000 2022402200 2528002750 5056005500 10112011000