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11314231000 = 2353173491907
BaseRepresentation
bin10101000100110000…
…10111011011011000
31002012111201111010121
422202120113123120
5141132420343000
65110411123024
7550243243132
oct124230273330
932174644117
1011314231000
114886652236
122239143474
1310b4068a57
1479490a052
1546345eb1a
hex2a26176d8

11314231000 has 128 divisors (see below), whose sum is σ = 28127736000. Its totient is φ = 4245043200.

The previous prime is 11314230943. The next prime is 11314231031. The reversal of 11314231000 is 13241311.

It is a super-2 number, since 2×113142310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5932047 + ... + 5933953.

Almost surely, 211314231000 is an apocalyptic number.

11314231000 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 11314231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063868000).

11314231000 is an abundant number, since it is smaller than the sum of its proper divisors (16813505000).

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

11314231000 is a wasteful number, since it uses less digits than its factorization.

11314231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11314231000 its reverse (13241311), we get a palindrome (11327472311).

The spelling of 11314231000 in words is "eleven billion, three hundred fourteen million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 349 425 500 680 698 850 1000 1396 1700 1745 1907 2125 2792 3400 3490 3814 4250 5933 6980 7628 8500 8725 9535 11866 13960 15256 17000 17450 19070 23732 29665 32419 34900 38140 43625 47464 47675 59330 64838 69800 76280 87250 95350 118660 129676 148325 162095 174500 190700 237320 238375 259352 296650 324190 349000 381400 476750 593300 648380 665543 741625 810475 953500 1186600 1296760 1331086 1483250 1620950 1907000 2662172 2966500 3241900 3327715 4052375 5324344 5933000 6483800 6655430 8104750 11314231 13310860 16209500 16638575 22628462 26621720 32419000 33277150 45256924 56571155 66554300 83192875 90513848 113142310 133108600 166385750 226284620 282855775 332771500 452569240 565711550 665543000 1131423100 1414278875 2262846200 2828557750 5657115500 11314231000