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11414002300 = 22521741831973
BaseRepresentation
bin10101010000101001…
…11101101001111100
31002110110110101121221
422220110331221330
5141333441033200
65124333403124
7552564263431
oct125024755174
932413411557
1011414002300
1149279a7958
1222666394a4
1310cb92c41c
147a3c7bb88
1546c0bb91a
hex2a853da7c

11414002300 has 144 divisors (see below), whose sum is σ = 27202446432. Its totient is φ = 4139622400.

The previous prime is 11414002277. The next prime is 11414002307. The reversal of 11414002300 is 320041411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414002307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5784114 + ... + 5786086.

It is an arithmetic number, because the mean of its divisors is an integer number (188905878).

Almost surely, 211414002300 is an apocalyptic number.

11414002300 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 11414002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601223216).

11414002300 is an abundant number, since it is smaller than the sum of its proper divisors (15788444132).

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

11414002300 is a wasteful number, since it uses less digits than its factorization.

11414002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11414002300 its reverse (320041411), we get a palindrome (11734043711).

The spelling of 11414002300 in words is "eleven billion, four hundred fourteen million, two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 83 85 100 164 166 170 205 332 340 410 415 425 697 820 830 850 1025 1394 1411 1660 1700 1973 2050 2075 2788 2822 3403 3485 3946 4100 4150 5644 6806 6970 7055 7892 8300 9865 13612 13940 14110 17015 17425 19730 28220 33541 34030 34850 35275 39460 49325 57851 67082 68060 69700 70550 80893 85075 98650 115702 134164 141100 161786 163759 167705 170150 197300 231404 289255 323572 327518 335410 340300 404465 578510 655036 670820 808930 818795 838525 1157020 1375181 1446275 1617860 1637590 1677050 2022325 2750362 2783903 2892550 3275180 3354100 4044650 4093975 5500724 5567806 5785100 6714119 6875905 8089300 8187950 11135612 13428238 13751810 13919515 16375900 26856476 27503620 27839030 33570595 34379525 55678060 67141190 68759050 69597575 114140023 134282380 137518100 139195150 167852975 228280046 278390300 335705950 456560092 570700115 671411900 1141400230 2282800460 2853500575 5707001150 11414002300