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110111001021 = 3372353736547
BaseRepresentation
bin110011010001100100…
…0001000100110111101
3101112012211021102011000
41212203020020212331
53301001404013041
6122330112520513
710645440031410
oct1464310104675
9345184242130
10110111001021
114277487589a
121940bb50139
13a4ca4c2a98
145487c39b77
152ce6c21bb6
hex19a32089bd

110111001021 has 128 divisors (see below), whose sum is σ = 200953405440. Its totient is φ = 58231540224.

The previous prime is 110111000971. The next prime is 110111001029. The reversal of 110111001021 is 120100111011.

It is not a de Polignac number, because 110111001021 - 26 = 110111000957 is a prime.

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 = 110111000994 and 110111001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111001029) 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 127 ways as a sum of consecutive naturals, for example, 16815270 + ... + 16821816.

It is an arithmetic number, because the mean of its divisors is an integer number (1569948480).

Almost surely, 2110111001021 is an apocalyptic number.

It is an amenable number.

110111001021 is a deficient number, since it is larger than the sum of its proper divisors (90842404419).

110111001021 is a wasteful number, since it uses less digits than its factorization.

110111001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6706 counting only the distinct ones).

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

Adding to 110111001021 its reverse (120100111011), we get a palindrome (230211112032).

The spelling of 110111001021 in words is "one hundred ten billion, one hundred eleven million, one thousand, twenty-one".

Divisors: 1 3 7 9 21 23 27 53 63 69 73 159 161 189 207 219 371 477 483 511 621 657 1113 1219 1431 1449 1533 1679 1971 3339 3657 3869 4347 4599 5037 6547 8533 10017 10971 11607 11753 13797 15111 19641 25599 27083 32913 34821 35259 45333 45829 58923 76797 81249 88987 104463 105777 137487 150581 176769 230391 243747 266961 317331 346991 412461 451743 477931 622909 731241 800883 1040973 1054067 1237383 1355229 1433793 1868727 2402649 2428937 3122919 3162201 3345517 4065687 4301379 5606181 7286811 7980793 9368757 9486603 10036551 10992413 12904137 16818543 21860433 23942379 25330343 28459809 30109653 32977239 55865551 65581299 71827137 75991029 76946891 90328959 98931717 167596653 177312401 215481411 227973087 230840673 296795151 502789959 531937203 582597889 683919261 692522019 1508369877 1595811609 1747793667 2077566057 4078185223 4787434827 5243381001 12234555669 15730143003 36703667007 110111001021