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11000220215121 = 353110745729863
BaseRepresentation
bin1010000000010011000000…
…1101111110011101010001
31102221121111021000202200000
42200010300031332131101
52420211422333340441
635221233103320213
72213511466034034
oct240046015763521
942847437022600
1011000220215121
113561192599885
121297abb5b0069
1361a415c38667
142a05b08db01b
1514121aba82b6
hexa013037e751

11000220215121 has 96 divisors (see below), whose sum is σ = 17206342852608. Its totient is φ = 7014970811520.

The previous prime is 11000220215087. The next prime is 11000220215123. The reversal of 11000220215121 is 12151202200011.

11000220215121 is a `hidden beast` number, since 110 + 0 + 0 + 2 + 20 + 21 + 512 + 1 = 666.

It is not a de Polignac number, because 11000220215121 - 26 = 11000220215057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000220215094 and 11000220215103.

It is not an unprimeable number, because it can be changed into a prime (11000220215123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 368341236 + ... + 368371098.

It is an arithmetic number, because the mean of its divisors is an integer number (179232738048).

Almost surely, 211000220215121 is an apocalyptic number.

It is an amenable number.

11000220215121 is a deficient number, since it is larger than the sum of its proper divisors (6206122637487).

11000220215121 is a wasteful number, since it uses less digits than its factorization.

11000220215121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30473 (or 30461 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11000220215121 its reverse (12151202200011), we get a palindrome (23151422415132).

The spelling of 11000220215121 in words is "eleven trillion, two hundred twenty million, two hundred fifteen thousand, one hundred twenty-one".

Divisors: 1 3 9 27 31 81 93 107 243 279 321 457 837 963 1371 2511 2889 3317 4113 7533 8667 9951 12339 14167 26001 29853 29863 37017 42501 48899 89559 89589 111051 127503 146697 268677 268767 382509 440091 806031 806301 925753 1147527 1320273 1515869 2418903 2777259 3195341 3442581 3960819 4547607 7256709 8331777 9586023 11882457 13642821 13647391 24995331 28758069 40928463 40942173 74985993 86274207 99055571 122785389 122826519 224957979 258822621 297166713 368356167 368479557 423069121 776467863 891500139 1105438671 1269207363 1460270837 2674500417 3316316013 3807622089 4380812511 8023501251 11422866267 13142437533 24070503753 34268598801 39427312599 45268395947 102805796403 118281937797 135805187841 354845813391 407415563523 1222246690569 3666740071707 11000220215121