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11033033131206 = 23219243211187139
BaseRepresentation
bin1010000010001101010000…
…0001010100010011000110
31110001202012001022121111100
42200203110001110103012
52421231122440144311
635244301102120530
72216052563154312
oct240432401242306
943052161277440
1011033033131206
1135740a0632349
1212a2338580146
13620545000938
142a200476cb42
15141edb71da56
hexa08d40544c6

11033033131206 has 144 divisors (see below), whose sum is σ = 25938493289280. Its totient is φ = 3386943292320.

The previous prime is 11033033131201. The next prime is 11033033131217. The reversal of 11033033131206 is 60213133033011.

11033033131206 is a `hidden beast` number, since 1 + 1 + 0 + 330 + 3 + 313 + 12 + 0 + 6 = 666.

It is a super-2 number, since 2×110330331312062 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11033033131206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033033131201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58862785 + ... + 59049923.

It is an arithmetic number, because the mean of its divisors is an integer number (180128425620).

Almost surely, 211033033131206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033033131206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969246644640).

11033033131206 is an abundant number, since it is smaller than the sum of its proper divisors (14905460158074).

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

11033033131206 is a wasteful number, since it uses less digits than its factorization.

11033033131206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187439 (or 187417 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11033033131206 its reverse (60213133033011), we get a palindrome (71246166164217).

The spelling of 11033033131206 in words is "eleven trillion, thirty-three billion, thirty-three million, one hundred thirty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 211 258 342 361 387 422 633 722 774 817 1083 1266 1634 1899 2166 2451 3249 3798 4009 4902 6498 7353 8018 9073 12027 14706 15523 18146 24054 27219 31046 36081 46569 54438 72162 76171 81657 93138 139707 152342 163314 172387 187139 228513 279414 344774 374278 457026 517161 561417 685539 1034322 1122834 1371078 1551483 1684251 3102966 3275353 3368502 3555641 6550706 7111282 8046977 9826059 10666923 16093954 19652118 21333846 24140931 29478177 32000769 39486329 48281862 58956354 64001538 67557179 72422793 78972658 118458987 135114358 144845586 152892563 202671537 236917974 305785126 355376961 405343074 458677689 608014611 710753922 750240251 917355378 1216029222 1376033067 1500480502 1697912147 2250720753 2752066134 2904958697 3395824294 4501441506 5093736441 5809917394 6752162259 8714876091 10187472882 13504324518 14254564769 15281209323 17429752182 26144628273 28509129538 30562418646 32260330793 42763694307 52289256546 64520661586 85527388614 96780992379 128291082921 193561984758 256582165842 290342977137 580685954274 612946285067 1225892570134 1838838855201 3677677710402 5516516565603 11033033131206