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11233312000 = 2853351041
BaseRepresentation
bin10100111011000111…
…01011110100000000
31001222212110101010121
422131203223310000
5141001211441000
65054400510024
7545241401521
oct123543536400
931885411117
1011233312000
114844a03629
12221601b314
1310a03762a1
14787c84848
1545b2c8b1a
hex29d8ebd00

11233312000 has 72 divisors (see below), whose sum is σ = 27983664072. Its totient is φ = 4493312000.

The previous prime is 11233311997. The next prime is 11233312001. The reversal of 11233312000 is 21333211.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 11225826304 = 2736^2 + 105952^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233312001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143521 + ... + 207520.

It is an arithmetic number, because the mean of its divisors is an integer number (388662001).

Almost surely, 211233312000 is an apocalyptic number.

11233312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233312000 is an abundant number, since it is smaller than the sum of its proper divisors (16750352072).

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

11233312000 is an frugal number, since it uses more digits than its factorization.

11233312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351072 (or 351048 counting only the distinct ones).

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

Adding to 11233312000 its reverse (21333211), we get a palindrome (11254645211).

The spelling of 11233312000 in words is "eleven billion, two hundred thirty-three million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 351041 702082 1404164 1755205 2808328 3510410 5616656 7020820 8776025 11233312 14041640 17552050 22466624 28083280 35104100 43880125 44933248 56166560 70208200 87760250 89866496 112333120 140416400 175520500 224666240 280832800 351041000 449332480 561665600 702082000 1123331200 1404164000 2246662400 2808328000 5616656000 11233312000