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10121230200 = 23352101167017
BaseRepresentation
bin10010110110100010…
…11011011101111000
3222010100212202200210
421123101123131320
5131212013331300
64352153031120
7505546015524
oct113321333570
928110782623
1010121230200
114324197064
121b656b54a0
13c53b55313
146c02bcd84
153e3858050
hex25b45b778

10121230200 has 96 divisors (see below), whose sum is σ = 31686654960. Its totient is φ = 2672256000.

The previous prime is 10121230199. The next prime is 10121230333. The reversal of 10121230200 is 203212101.

It is a super-2 number, since 2×101212302002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22909 + ... + 144108.

Almost surely, 210121230200 is an apocalyptic number.

10121230200 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 10121230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843327480).

10121230200 is an abundant number, since it is smaller than the sum of its proper divisors (21565424760).

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

10121230200 is a wasteful number, since it uses less digits than its factorization.

10121230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167137 (or 167128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10121230200 its reverse (203212101), we get a palindrome (10324442301).

The spelling of 10121230200 in words is "ten billion, one hundred twenty-one million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 167017 334034 501051 668068 835085 1002102 1336136 1670170 2004204 2505255 3340340 4008408 4175425 5010510 6680680 8350850 10021020 12526275 16701700 16868717 20042040 25052550 33403400 33737434 50105100 50606151 67474868 84343585 100210200 101212302 134949736 168687170 202424604 253030755 337374340 404849208 421717925 506061510 674748680 843435850 1012123020 1265153775 1686871700 2024246040 2530307550 3373743400 5060615100 10121230200