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11231313000 = 2335337101183
BaseRepresentation
bin10100111010111000…
…00011110001101000
31001222201200211000120
422131130003301220
5141000204004000
65054250003240
7545215404525
oct123534036150
931881624016
1011231313000
114843868766
122215416520
13109cb2644b
147878c414c
1545b0316a0
hex29d703c68

11231313000 has 128 divisors (see below), whose sum is σ = 35989125120. Its totient is φ = 2914041600.

The previous prime is 11231312971. The next prime is 11231313031. The reversal of 11231313000 is 31313211.

It is a super-2 number, since 2×112313130002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 60409 + ... + 161591.

It is an arithmetic number, because the mean of its divisors is an integer number (281165040).

Almost surely, 211231313000 is an apocalyptic number.

11231313000 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 11231313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994562560).

11231313000 is an abundant number, since it is smaller than the sum of its proper divisors (24757812120).

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

11231313000 is a wasteful number, since it uses less digits than its factorization.

11231313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101244 (or 101230 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11231313000 its reverse (31313211), we get a palindrome (11262626211).

The spelling of 11231313000 in words is "eleven billion, two hundred thirty-one million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 101183 111000 202366 303549 404732 505915 607098 809464 1011830 1214196 1517745 2023660 2428392 2529575 3035490 3743771 4047320 5059150 6070980 7487542 7588725 10118300 11231313 12141960 12647875 14975084 15177450 18718855 20236600 22462626 25295750 29950168 30354900 37437710 37943625 44925252 50591500 56156565 60709800 74875420 75887250 89850504 93594275 101183000 112313130 149750840 151774500 187188550 224626260 280782825 303549000 374377100 449252520 467971375 561565650 748754200 935942750 1123131300 1403914125 1871885500 2246262600 2807828250 3743771000 5615656500 11231313000