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11000110230 = 2345197110067
BaseRepresentation
bin10100011111010100…
…00101110010010110
31001101121122111110000
422033222011302112
5140012012011410
65015310312130
7536410252134
oct121752056226
931347574400
1011000110230
11473530369a
12216bab8646
131063c65885
14764cdc754
15445ab1dc0
hex28fa85c96

11000110230 has 160 divisors (see below), whose sum is σ = 31576469760. Its totient is φ = 2739562560.

The previous prime is 11000110181. The next prime is 11000110271. The reversal of 11000110230 is 3201100011.

11000110230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1087657 + ... + 1097723.

It is an arithmetic number, because the mean of its divisors is an integer number (197352936).

Almost surely, 211000110230 is an apocalyptic number.

11000110230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000110230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788234880).

11000110230 is an abundant number, since it is smaller than the sum of its proper divisors (20576359530).

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

11000110230 is a wasteful number, since it uses less digits than its factorization.

11000110230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176 (or 10167 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11000110230 its reverse (3201100011), we get a palindrome (14201210241).

The spelling of 11000110230 in words is "eleven billion, one hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 71 81 90 95 114 135 142 162 171 190 213 270 285 342 355 405 426 513 570 639 710 810 855 1026 1065 1278 1349 1539 1710 1917 2130 2565 2698 3078 3195 3834 4047 5130 5751 6390 6745 7695 8094 9585 10067 11502 12141 13490 15390 19170 20134 20235 24282 28755 30201 36423 40470 50335 57510 60402 60705 72846 90603 100670 109269 121410 151005 181206 182115 191273 218538 271809 302010 364230 382546 453015 543618 546345 573819 714757 815427 906030 956365 1092690 1147638 1359045 1429514 1630854 1721457 1912730 2144271 2718090 2869095 3442914 3573785 4077135 4288542 5164371 5738190 6432813 7147570 8154270 8607285 10328742 10721355 12865626 13580383 15493113 17214570 19298439 21442710 25821855 27160766 30986226 32164065 38596878 40741149 51643710 57895317 64328130 67901915 77465565 81482298 96492195 115790634 122223447 135803830 154931130 192984390 203705745 244446894 289476585 366670341 407411490 578953170 611117235 733340682 1100011023 1222234470 1833351705 2200022046 3666703410 5500055115 11000110230