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11034120000 = 2635491951
BaseRepresentation
bin10100100011010111…
…10100111101000000
31001110222122101002010
422101223310331000
5140044213320000
65022523252520
7540302321031
oct122153647500
931428571063
1011034120000
114752522742
12217b37a140
13106b0129b7
14769632a88
15448a7dd50
hex291af4f40

11034120000 has 140 divisors (see below), whose sum is σ = 36481772096. Its totient is φ = 2942400000.

The previous prime is 11034119989. The next prime is 11034120001. The reversal of 11034120000 is 2143011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74025 + ... + 165975.

Almost surely, 211034120000 is an apocalyptic number.

11034120000 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 11034120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240886048).

11034120000 is an abundant number, since it is smaller than the sum of its proper divisors (25447652096).

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

11034120000 is an frugal number, since it uses more digits than its factorization.

11034120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91986 (or 91961 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11034120000 its reverse (2143011), we get a palindrome (11036263011).

The spelling of 11034120000 in words is "eleven billion, thirty-four million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 91951 120000 183902 275853 367804 459755 551706 735608 919510 1103412 1379265 1471216 1839020 2206824 2298775 2758530 2942432 3678040 4413648 4597550 5517060 5884864 6896325 7356080 8827296 9195100 11034120 11493875 13792650 14712160 17654592 18390200 22068240 22987750 27585300 29424320 34481625 36780400 44136480 45975500 55170600 57469375 68963250 73560800 88272960 91951000 110341200 114938750 137926500 147121600 172408125 183902000 220682400 229877500 275853000 344816250 367804000 441364800 459755000 551706000 689632500 735608000 919510000 1103412000 1379265000 1839020000 2206824000 2758530000 3678040000 5517060000 11034120000