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1101210010011 = 323747714432237
BaseRepresentation
bin10000000001100101001…
…110110100000110011011
310220021102012220122102100
4100001211032310012123
5121020234230310021
62201520000134443
7142363003433346
oct20014516640633
93807365818370
101101210010011
11395025384471
12159509007423
137cac7695a27
143b42808145d
151d9a1d17626
hex100653b419b

1101210010011 has 96 divisors (see below), whose sum is σ = 1696460433408. Its totient is φ = 687390762240.

The previous prime is 1101210009997. The next prime is 1101210010037. The reversal of 1101210010011 is 1100100121011.

It is not a de Polignac number, because 1101210010011 - 218 = 1101209747867 is a prime.

It is a super-2 number, since 2×11012100100112 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101210009975 and 1101210010002.

It is not an unprimeable number, because it can be changed into a prime (1101210010051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492269785 + ... + 492272021.

It is an arithmetic number, because the mean of its divisors is an integer number (17671462848).

Almost surely, 21101210010011 is an apocalyptic number.

1101210010011 is a deficient number, since it is larger than the sum of its proper divisors (595250423397).

1101210010011 is a wasteful number, since it uses less digits than its factorization.

1101210010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1101210010011 its reverse (1100100121011), we get a palindrome (2201310131022).

The spelling of 1101210010011 in words is "one trillion, one hundred one billion, two hundred ten million, ten thousand, eleven".

Divisors: 1 3 9 37 47 71 111 141 213 333 423 443 639 1329 1739 2237 2627 3337 3987 5217 6711 7881 10011 15651 16391 20133 20821 23643 30033 31453 49173 62463 82769 94359 105139 123469 147519 158827 187389 248307 283077 315417 370407 476481 744921 770377 946251 990991 1111221 1163761 1429443 1478291 2311131 2972973 3491283 3890143 4434873 5876599 6933393 7464869 8918919 10473849 11670429 13304619 17629797 22394607 35011287 36666667 46576577 52889391 54696767 67183821 70360361 110000001 139729731 164090301 211081083 276200153 330000003 419189193 492270903 633243249 828600459 1723333349 2485801377 2603333357 3306936967 5170000047 7810000071 9920810901 15510000141 23430000213 29762432703 122356667779 367070003337 1101210010011