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11031032211330 = 23541103199437543
BaseRepresentation
bin1010000010000101110011…
…0000011010011110000010
31110001120000121020100102210
42200201130300122132002
52421213023221230310
635243330343322550
72215652155501545
oct240413460323602
943046017210383
1011031032211330
11357326411765a
1212a1a7a450456
136202b65c3991
142a1c94b1485c
15141e20c28820
hexa085cc1a782

11031032211330 has 128 divisors (see below), whose sum is σ = 27521167564800. Its totient is φ = 2827711434240.

The previous prime is 11031032211317. The next prime is 11031032211347. The reversal of 11031032211330 is 3311223013011.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11031032211297 and 11031032211306.

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 63 ways as a sum of consecutive naturals, for example, 24992539 + ... + 25430081.

It is an arithmetic number, because the mean of its divisors is an integer number (215009121600).

Almost surely, 211031032211330 is an apocalyptic number.

11031032211330 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 11031032211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760583782400).

11031032211330 is an abundant number, since it is smaller than the sum of its proper divisors (16490135353470).

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

11031032211330 is a wasteful number, since it uses less digits than its factorization.

11031032211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437896.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11031032211330 its reverse (3311223013011), we get a palindrome (14342255224341).

The spelling of 11031032211330 in words is "eleven trillion, thirty-one billion, thirty-two million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 103 123 199 205 206 246 309 398 410 515 597 615 618 995 1030 1194 1230 1545 1990 2985 3090 4223 5970 8159 8446 12669 16318 20497 21115 24477 25338 40795 40994 42230 48954 61491 63345 81590 102485 122385 122982 126690 204970 244770 307455 437543 614910 840377 875086 1312629 1680754 2187715 2521131 2625258 4201885 4375430 5042262 6563145 8403770 12605655 13126290 17939263 25211310 35878526 45066929 53817789 87071057 89696315 90133858 107635578 135200787 174142114 179392630 225334645 261213171 269088945 270401574 435355285 450669290 522426342 538177890 676003935 870710570 1306065855 1352007870 1847744089 2612131710 3569913337 3695488178 5543232267 7139826674 8968318871 9238720445 10709740011 11086464534 17849566685 17936637742 18477440890 21419480022 26904956613 27716161335 35699133370 44841594355 53548700055 53809913226 55432322670 89683188710 107097400110 134524783065 269049566130 367701073711 735402147422 1103103221133 1838505368555 2206206442266 3677010737110 5515516105665 11031032211330