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11033040000 = 2735445971
BaseRepresentation
bin10100100011001111…
…01101010010000000
31001110220121111121010
422101213231102000
5140043424240000
65022444200520
7540260202243
oct122147552200
931426544533
1011033040000
114751955284
12217ab39140
13106aa25248
1476943125a
15448918d50
hex2919ed480

11033040000 has 160 divisors (see below), whose sum is σ = 36622214640. Its totient is φ = 2942080000.

The previous prime is 11033039951. The next prime is 11033040041. The reversal of 11033040000 is 4033011.

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

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

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, 217015 + ... + 262985.

Almost surely, 211033040000 is an apocalyptic number.

11033040000 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 11033040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18311107320).

11033040000 is an abundant number, since it is smaller than the sum of its proper divisors (25589174640).

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

11033040000 is an frugal number, since it uses more digits than its factorization.

11033040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46008 (or 45981 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11033040000 its reverse (4033011), we get a palindrome (11037073011).

The spelling of 11033040000 in words is "eleven billion, thirty-three million, forty 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 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 45971 48000 60000 80000 91942 120000 137913 183884 229855 240000 275826 367768 459710 551652 689565 735536 919420 1103304 1149275 1379130 1471072 1838840 2206608 2298550 2758260 2942144 3447825 3677680 4413216 4597100 5516520 5746375 5884288 6895650 7355360 8826432 9194200 11033040 11492750 13791300 14710720 17239125 17652864 18388400 22066080 22985500 27582600 28731875 29421440 34478250 36776800 44132160 45971000 55165200 57463750 68956500 73553600 86195625 88264320 91942000 110330400 114927500 137913000 147107200 172391250 183884000 220660800 229855000 275826000 344782500 367768000 441321600 459710000 551652000 689565000 735536000 919420000 1103304000 1379130000 1838840000 2206608000 2758260000 3677680000 5516520000 11033040000