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11322002300 = 2252717393493
BaseRepresentation
bin10101000101101100…
…00000101101111100
31002020001100022100112
422202312000231330
5141141413033200
65111245445152
7550366301030
oct124266005574
932201308315
1011322002300
11488aa7a9a4
12223b8707b8
1310b585a05b
147959701c0
15463e97535
hex2a2d80b7c

11322002300 has 72 divisors (see below), whose sum is σ = 28241171616. Its totient is φ = 3859349760.

The previous prime is 11322002273. The next prime is 11322002323. The reversal of 11322002300 is 320022311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74354 + ... + 167846.

Almost surely, 211322002300 is an apocalyptic number.

11322002300 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 11322002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120585808).

11322002300 is an abundant number, since it is smaller than the sum of its proper divisors (16919169316).

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

11322002300 is a wasteful number, since it uses less digits than its factorization.

11322002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93687 (or 93680 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11322002300 its reverse (320022311), we get a palindrome (11642024611).

The spelling of 11322002300 in words is "eleven billion, three hundred twenty-two million, two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 173 175 346 350 692 700 865 1211 1730 2422 3460 4325 4844 6055 8650 12110 17300 24220 30275 60550 93493 121100 186986 373972 467465 654451 934930 1308902 1869860 2337325 2617804 3272255 4674650 6544510 9349300 13089020 16174289 16361275 32348578 32722550 64697156 65445100 80871445 113220023 161742890 226440046 323485780 404357225 452880092 566100115 808714450 1132200230 1617428900 2264400460 2830500575 5661001150 11322002300