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11303120000 = 2754236143
BaseRepresentation
bin10101000011011011…
…11110110010000000
31002011201210222201002
422201231332302000
5141122044320000
65105333031132
7550046635424
oct124155766200
932151728632
1011303120000
114880353397
1222354854a8
1310b19785b3
14793256b84
154624b78d5
hex2a1b7ec80

11303120000 has 160 divisors (see below), whose sum is σ = 29366599680. Its totient is φ = 4323968000.

The previous prime is 11303119991. The next prime is 11303120039. The reversal of 11303120000 is 2130311.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1836929 + ... + 1843071.

It is an arithmetic number, because the mean of its divisors is an integer number (183541248).

Almost surely, 211303120000 is an apocalyptic number.

11303120000 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 11303120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683299840).

11303120000 is an abundant number, since it is smaller than the sum of its proper divisors (18063479680).

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

11303120000 is an frugal number, since it uses more digits than its factorization.

11303120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11303120000 its reverse (2130311), we get a palindrome (11305250311).

The spelling of 11303120000 in words is "eleven billion, three hundred three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 320 368 400 460 500 575 625 640 736 800 920 1000 1150 1250 1472 1600 1840 2000 2300 2500 2875 2944 3200 3680 4000 4600 5000 5750 6143 7360 8000 9200 10000 11500 12286 14375 14720 16000 18400 20000 23000 24572 28750 30715 36800 40000 46000 49144 57500 61430 73600 80000 92000 98288 115000 122860 141289 153575 184000 196576 230000 245720 282578 307150 368000 393152 460000 491440 565156 614300 706445 767875 786304 920000 982880 1130312 1228600 1412890 1535750 1840000 1965760 2260624 2457200 2825780 3071500 3532225 3839375 3931520 4521248 4914400 5651560 6143000 7064450 7678750 9042496 9828800 11303120 12286000 14128900 15357500 17661125 18084992 19657600 22606240 24572000 28257800 30715000 35322250 45212480 49144000 56515600 61430000 70644500 88305625 90424960 98288000 113031200 122860000 141289000 176611250 226062400 245720000 282578000 353222500 452124800 491440000 565156000 706445000 1130312000 1412890000 2260624000 2825780000 5651560000 11303120000