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10112221000 = 2353710114303
BaseRepresentation
bin10010110101011110…
…00011111101001000
3222002201221001101201
421122233003331020
5131202212033000
64351231553544
7505406313610
oct113257037510
928081831351
1010112221000
11431a0a3342
121b6268b8b4
13c5201c72b
146bd015a40
153e2b7896a
hex25abc3f48

10112221000 has 128 divisors (see below), whose sum is σ = 27312629760. Its totient is φ = 3432480000.

The previous prime is 10112220973. The next prime is 10112221003. The reversal of 10112221000 is 12221101.

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

It is not an unprimeable number, because it can be changed into a prime (10112221003) 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, 699849 + ... + 714151.

It is an arithmetic number, because the mean of its divisors is an integer number (213379920).

Almost surely, 210112221000 is an apocalyptic number.

10112221000 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 10112221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656314880).

10112221000 is an abundant number, since it is smaller than the sum of its proper divisors (17200408760).

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

10112221000 is a wasteful number, since it uses less digits than its factorization.

10112221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14432 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10112221000 its reverse (12221101), we get a palindrome (10124442101).

The spelling of 10112221000 in words is "ten billion, one hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 125 140 175 200 202 250 280 350 404 500 505 700 707 808 875 1000 1010 1400 1414 1750 2020 2525 2828 3500 3535 4040 5050 5656 7000 7070 10100 12625 14140 14303 17675 20200 25250 28280 28606 35350 50500 57212 70700 71515 88375 100121 101000 114424 141400 143030 176750 200242 286060 353500 357575 400484 500605 572120 707000 715150 800968 1001210 1430300 1444603 1787875 2002420 2503025 2860600 2889206 3575750 4004840 5006050 5778412 7151500 7223015 10012100 10112221 11556824 12515125 14303000 14446030 20024200 20224442 25030250 28892060 36115075 40448884 50060500 50561105 57784120 72230150 80897768 100121000 101122210 144460300 180575375 202244420 252805525 288920600 361150750 404488840 505611050 722301500 1011222100 1264027625 1444603000 2022444200 2528055250 5056110500 10112221000