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11033341000 = 2353111019931
BaseRepresentation
bin10100100011010001…
…10110110001001000
31001110221011210111021
422101220312301020
5140044013403000
65022454442224
7540262564633
oct122150666110
931427153437
1011033341000
114752040440
12217b063374
13106aacc256
147694acc1a
1544897811a
hex291a36c48

11033341000 has 128 divisors (see below), whose sum is σ = 28446837120. Its totient is φ = 3972000000.

The previous prime is 11033340973. The next prime is 11033341009. The reversal of 11033341000 is 14333011.

It is a super-2 number, since 2×110333410002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11033341009) 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, 1106035 + ... + 1115965.

It is an arithmetic number, because the mean of its divisors is an integer number (222240915).

Almost surely, 211033341000 is an apocalyptic number.

11033341000 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 11033341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14223418560).

11033341000 is an abundant number, since it is smaller than the sum of its proper divisors (17413496120).

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

11033341000 is a wasteful number, since it uses less digits than its factorization.

11033341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10064 (or 10050 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11033341000 its reverse (14333011), we get a palindrome (11047674011).

The spelling of 11033341000 in words is "eleven billion, thirty-three million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 9931 10100 11000 11110 12625 19862 20200 22220 25250 27775 39724 44440 49655 50500 55550 79448 99310 101000 109241 111100 138875 198620 218482 222200 248275 277750 397240 436964 496550 546205 555500 873928 993100 1003031 1092410 1111000 1241375 1986200 2006062 2184820 2482750 2731025 4012124 4369640 4965500 5015155 5462050 8024248 9931000 10030310 10924100 11033341 13655125 20060620 21848200 22066682 25075775 27310250 40121240 44133364 50151550 54620500 55166705 88266728 100303100 109241000 110333410 125378875 200606200 220666820 250757750 275833525 441333640 501515500 551667050 1003031000 1103334100 1379167625 2206668200 2758335250 5516670500 11033341000