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11042213000 = 2353713121343
BaseRepresentation
bin10100100100010101…
…01100110010001000
31001111112212112120212
422102022230302020
5140103301304000
65023412540252
7540431155550
oct122212546210
931445775525
1011042213000
114757050075
122182021688
13106c8b7560
1476a73c160
1544962bc35
hex2922acc88

11042213000 has 128 divisors (see below), whose sum is σ = 31801835520. Its totient is φ = 3494649600.

The previous prime is 11042212999. The next prime is 11042213003. The reversal of 11042213000 is 31224011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11042213003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30329 + ... + 151671.

It is an arithmetic number, because the mean of its divisors is an integer number (248451840).

Almost surely, 211042213000 is an apocalyptic number.

11042213000 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 11042213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15900917760).

11042213000 is an abundant number, since it is smaller than the sum of its proper divisors (20759622520).

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

11042213000 is a wasteful number, since it uses less digits than its factorization.

11042213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121384 (or 121370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11042213000 its reverse (31224011), we get a palindrome (11073437011).

The spelling of 11042213000 in words is "eleven billion, forty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 121343 242686 485372 606715 849401 970744 1213430 1577459 1698802 2426860 3033575 3154918 3397604 4247005 4853720 6067150 6309836 6795208 7887295 8494010 11042213 12134300 12619672 15167875 15774590 16988020 21235025 22084426 24268600 30335750 31549180 33976040 39436475 42470050 44168852 55211065 60671500 63098360 78872950 84940100 88337704 106175125 110422130 121343000 157745900 169880200 197182375 212350250 220844260 276055325 315491800 394364750 424700500 441688520 552110650 788729500 849401000 1104221300 1380276625 1577459000 2208442600 2760553250 5521106500 11042213000