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10121320000 = 26541123003
BaseRepresentation
bin10010110110100011…
…10001011001000000
3222010101001022212201
421123101301121000
5131212024220000
64352155002544
7505546541401
oct113321613100
928111038781
1010121320000
114324248580
121b65739454
13c53b8715c
146c03039a8
153e387496a
hex25b471640

10121320000 has 140 divisors (see below), whose sum is σ = 27380372976. Its totient is φ = 3680320000.

The previous prime is 10121319979. The next prime is 10121320003. The reversal of 10121320000 is 2312101.

It is a super-2 number, since 2×101213200002 (a number of 21 digits) contains 22 as substring.

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 (10121320003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 428499 + ... + 451501.

Almost surely, 210121320000 is an apocalyptic number.

10121320000 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 10121320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690186488).

10121320000 is an abundant number, since it is smaller than the sum of its proper divisors (17259052976).

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

10121320000 is an equidigital number, since it uses as much as digits as its factorization.

10121320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23046 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10121320000 its reverse (2312101), we get a palindrome (10123632101).

The spelling of 10121320000 in words is "ten billion, one hundred twenty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 23003 27500 40000 44000 46006 55000 88000 92012 110000 115015 184024 220000 230030 253033 368048 440000 460060 506066 575075 736096 920120 1012132 1150150 1265165 1472192 1840240 2024264 2300300 2530330 2875375 3680480 4048528 4600600 5060660 5750750 6325825 7360960 8097056 9201200 10121320 11501500 12651650 14376875 16194112 18402400 20242640 23003000 25303300 28753750 31629125 36804800 40485280 46006000 50606600 57507500 63258250 80970560 92012000 101213200 115015000 126516500 158145625 184024000 202426400 230030000 253033000 316291250 404852800 460060000 506066000 632582500 920120000 1012132000 1265165000 2024264000 2530330000 5060660000 10121320000