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11022011000121 = 3112477140122691
BaseRepresentation
bin1010000001100100001100…
…0011001110010100111001
31110000200201220020100010010
42200121003003032110321
52421041034304000441
635235235243412133
72215212464455332
oct240310303162471
943020656210103
1011022011000121
11356a454959100
1212a0181224049
1361c4a9627b94
142a167a97b289
15141a93c5c116
hexa06430ce539

11022011000121 has 96 divisors (see below), whose sum is σ = 16771974524928. Its totient is φ = 6429438400000.

The previous prime is 11022010999973. The next prime is 11022011000129. The reversal of 11022011000121 is 12100011022011.

It is not a de Polignac number, because 11022011000121 - 29 = 11022010999609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11022011000097 and 11022011000106.

It is not an unprimeable number, because it can be changed into a prime (11022011000129) 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, 485732386 + ... + 485755076.

It is an arithmetic number, because the mean of its divisors is an integer number (174708067968).

Almost surely, 211022011000121 is an apocalyptic number.

11022011000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11022011000121 is a deficient number, since it is larger than the sum of its proper divisors (5749963524807).

11022011000121 is a wasteful number, since it uses less digits than its factorization.

11022011000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23235 (or 23224 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11022011000121 its reverse (12100011022011), we get a palindrome (23122022022132).

The spelling of 11022011000121 in words is "eleven trillion, twenty-two billion, eleven million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 11 33 47 71 121 141 213 363 401 517 781 1203 1551 2343 3337 4411 5687 8591 10011 13233 17061 18847 22691 25773 28471 36707 48521 56541 68073 85413 110121 145563 207317 249601 313181 403777 621951 748803 939543 1066477 1211331 1338137 1611061 2280487 2745611 3199431 3444991 4014411 4833183 6841461 8236833 9099091 10334973 11731247 14719507 17721671 27297273 35193741 44158521 53165013 75719867 100090001 129043717 161914577 194938381 227159601 300270003 387131151 427657277 485743731 584815143 646035461 832918537 1100990011 1282971831 1938106383 2498755611 3302970033 4704230047 7106390071 9162103907 14112690141 21319170213 27486311721 30363666667 51746530517 78170290781 91091000001 155239591551 234510872343 334000333337 1002001000011 3674003666707 11022011000121