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11011000201230 = 23517109228186837
BaseRepresentation
bin1010000000111011001011…
…0000010111000000001110
31102222122022112110210120210
42200032302300113000032
52420401012022414410
635230214512023250
72214342564305001
oct240166260270016
942878275423523
1011011000201230
113565814614a07
12129a009831b26
1361b4433bc173
142a0d14499538
1514164c288220
hexa03b2c1700e

11011000201230 has 128 divisors (see below), whose sum is σ = 28250304888960. Its totient is φ = 2736959569920.

The previous prime is 11011000201199. The next prime is 11011000201231. The reversal of 11011000201230 is 3210200011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011000201231) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 126757372 + ... + 126844208.

It is an arithmetic number, because the mean of its divisors is an integer number (220705506945).

Almost surely, 211011000201230 is an apocalyptic number.

11011000201230 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 11011000201230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125152444480).

11011000201230 is an abundant number, since it is smaller than the sum of its proper divisors (17239304687730).

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

11011000201230 is a wasteful number, since it uses less digits than its factorization.

11011000201230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89254.

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

Adding to 11011000201230 its reverse (3210200011011), we get a palindrome (14221200212241).

The spelling of 11011000201230 in words is "eleven trillion, eleven billion, two hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 109 170 218 255 327 510 545 654 1090 1635 1853 2281 3270 3706 4562 5559 6843 9265 11118 11405 13686 18530 22810 27795 34215 38777 55590 68430 77554 86837 116331 173674 193885 232662 248629 260511 387770 434185 497258 521022 581655 745887 868370 1163310 1243145 1302555 1476229 1491774 2486290 2605110 2952458 3729435 4226693 4428687 7381145 7458870 8453386 8857374 9465233 12680079 14762290 18930466 21133465 22143435 25360158 28395699 42266930 44286870 47326165 56791398 63400395 94652330 126800790 141978495 160908961 198075197 283956990 321817922 396150394 482726883 594225591 804544805 965453766 990375985 1188451182 1609089610 1980751970 2413634415 2971127955 3367278349 4827268830 5942255910 6734556698 10101835047 16836391745 20203670094 21590196473 33672783490 43180392946 50509175235 64770589419 101018350470 107950982365 129541178838 215901964730 323852947095 367033340041 647705894190 734066680082 1101100020123 1835166700205 2202200040246 3670333400410 5505500100615 11011000201230