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11331023000121 = 34111714912134139
BaseRepresentation
bin1010010011100011010110…
…0110011101001000111001
31111010020100110211101210000
42210320311212131020321
52441121413342000441
640033222231143213
72246432212231326
oct244706546351071
944106313741700
1011331023000121
1136795070a2390
121330040814b09
13642684548a66
142b25d2939b4d
15149b2c6b82b6
hexa4e3599d239

11331023000121 has 160 divisors (see below), whose sum is σ = 19703773584000. Its totient is φ = 6413108152320.

The previous prime is 11331023000119. The next prime is 11331023000161. The reversal of 11331023000121 is 12100032013311.

11331023000121 is a `hidden beast` number, since 1 + 1 + 3 + 310 + 230 + 0 + 0 + 121 = 666.

11331023000121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11331023000121 - 21 = 11331023000119 is a prime.

It is a super-2 number, since 2×113310230001212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11331023000094 and 11331023000103.

It is not an unprimeable number, because it can be changed into a prime (11331023000161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2737621270 + ... + 2737625408.

It is an arithmetic number, because the mean of its divisors is an integer number (123148584900).

Almost surely, 211331023000121 is an apocalyptic number.

11331023000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11331023000121 is a deficient number, since it is larger than the sum of its proper divisors (8372750583879).

11331023000121 is a wasteful number, since it uses less digits than its factorization.

11331023000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331023000121 its reverse (12100032013311), we get a palindrome (23431055013432).

The spelling of 11331023000121 in words is "eleven trillion, three hundred thirty-one billion, twenty-three million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 11 17 27 33 51 81 99 149 153 187 297 447 459 561 891 1213 1341 1377 1639 1683 2533 3639 4023 4139 4917 5049 7599 10917 12069 12417 13343 14751 15147 20621 22797 27863 32751 37251 40029 44253 45529 61863 68391 70363 83589 98253 111753 120087 132759 136587 180737 185589 205173 211089 226831 250767 335259 360261 409761 542211 556767 616711 633267 680493 752301 773993 1080783 1229283 1626633 1670301 1850133 1899801 1988107 2041479 2256903 2321979 3072529 3687849 4879899 5020607 5550399 5699403 5964321 6124437 6783821 6965937 9217587 10484087 14639697 15061821 16651197 17892963 18373311 20351463 20897811 27652761 31452261 33797819 45185463 49953591 53678889 55226677 61054389 62693433 82958283 85350319 94356783 101393457 115324957 135556389 161036667 165680031 183163167 248874849 256050957 283070349 304180371 345974871 406669167 497040093 549489501 748070443 768152871 849211047 912541113 938853509 1037924613 1491120279 2244211329 2304458613 2737623339 2816560527 3113773839 4473360837 6732633987 6913375839 8228774873 8449681581 9341321517 12717197531 20197901961 24686324619 25349044743 38151592593 60593705883 74058973857 76047134229 114454777779 139889172841 222176921571 343364333337 419667518523 666530764713 1030093000011 1259002555569 3777007666707 11331023000121