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11332221312231 = 333143226992713
BaseRepresentation
bin1010010011100111110100…
…0001101001110011100111
31111010100102222122221222000
42210321331001221303213
52441131342123442411
640033541155140343
72246504002556541
oct244717501516347
944110388587860
1011332221312231
113679a71555a76
121330315ba46b3
1364281589bb91
142b26a7b4a691
15149b9c9bd956
hexa4e7d069ce7

11332221312231 has 96 divisors (see below), whose sum is σ = 17755552512000. Its totient is φ = 7135807674240.

The previous prime is 11332221312199. The next prime is 11332221312259. The reversal of 11332221312231 is 13221312223311.

11332221312231 is a `hidden beast` number, since 1 + 1 + 3 + 322 + 2 + 1 + 312 + 23 + 1 = 666.

It is not a de Polignac number, because 11332221312231 - 25 = 11332221312199 is a prime.

It is a super-2 number, since 2×113322213122312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11332221312195 and 11332221312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332221311231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4177006131 + ... + 4177008843.

It is an arithmetic number, because the mean of its divisors is an integer number (184953672000).

Almost surely, 211332221312231 is an apocalyptic number.

11332221312231 is a deficient number, since it is larger than the sum of its proper divisors (6423331199769).

11332221312231 is a wasteful number, since it uses less digits than its factorization.

11332221312231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5489 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 11332221312231 its reverse (13221312223311), we get a palindrome (24553533535542).

The spelling of 11332221312231 in words is "eleven trillion, three hundred thirty-two billion, two hundred twenty-one million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 27 31 43 93 129 279 387 837 1161 1333 1849 2699 2713 3999 5547 8097 8139 11997 16641 24291 24417 35991 49923 57319 72873 73251 83669 84103 116057 116659 171957 251007 252309 348171 349977 515871 753021 756927 1044513 1049931 1547613 2259063 2270781 3133539 3149793 3597767 3616429 4990451 5016337 7322387 10793301 10849287 14971353 15049011 21967161 32379903 32547861 44914059 45147033 65901483 97139709 97643583 134742177 135441099 154703981 155506447 197704449 226993997 314862641 464111943 466519341 680981991 944587923 1392335829 1399558023 2042945973 2833763769 4177007487 4198674069 6128837919 8501291307 9760741871 13539093563 29282225613 40617280689 87846676839 121851842067 263540030517 365555526201 419711900453 1259135701359 3777407104077 11332221312231