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11301321000 = 2335311713217
BaseRepresentation
bin10101000011001110…
…00111100100101000
31002011121102120221110
422201213013210220
5141121114233000
65105230310320
7550025433504
oct124147074450
932147376843
1011301321000
11487a334812
1222349583a0
1310b14987b8
14792d09304
1546225e850
hex2a19c7928

11301321000 has 128 divisors (see below), whose sum is σ = 35301202560. Its totient is φ = 3010176000.

The previous prime is 11301320999. The next prime is 11301321001. The reversal of 11301321000 is 12310311.

It is an interprime number because it is at equal distance from previous prime (11301320999) and next prime (11301321001).

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

It is not an unprimeable number, because it can be changed into a prime (11301321001) 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, 3511392 + ... + 3514608.

It is an arithmetic number, because the mean of its divisors is an integer number (275790645).

Almost surely, 211301321000 is an apocalyptic number.

11301321000 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 11301321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17650601280).

11301321000 is an abundant number, since it is smaller than the sum of its proper divisors (23999881560).

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

11301321000 is a wasteful number, since it uses less digits than its factorization.

11301321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11301321000 its reverse (12310311), we get a palindrome (11313631311).

The spelling of 11301321000 in words is "eleven billion, three hundred one million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1171 1500 2342 3000 3217 3513 4684 5855 6434 7026 9368 9651 11710 12868 14052 16085 17565 19302 23420 25736 28104 29275 32170 35130 38604 46840 48255 58550 64340 70260 77208 80425 87825 96510 117100 128680 140520 146375 160850 175650 193020 234200 241275 292750 321700 351300 386040 402125 439125 482550 585500 643400 702600 804250 878250 965100 1171000 1206375 1608500 1756500 1930200 2412750 3217000 3513000 3767107 4825500 7534214 9651000 11301321 15068428 18835535 22602642 30136856 37671070 45205284 56506605 75342140 90410568 94177675 113013210 150684280 188355350 226026420 282533025 376710700 452052840 470888375 565066050 753421400 941776750 1130132100 1412665125 1883553500 2260264200 2825330250 3767107000 5650660500 11301321000