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110120202022122 = 232891014493151477
BaseRepresentation
bin11001000010011101011011…
…100001100010110011101010
3112102220101111012212011212100
4121002131123201202303222
5103413202133204201442
61030112304502154230
732123631156040665
oct3102353341426352
9472811435764770
10110120202022122
11320a6796239546
1210426048a22976
13495a3a12a0336
141d29bbc0346dc
15cae72c2c184c
hex64275b862cea

110120202022122 has 96 divisors (see below), whose sum is σ = 243719298098640. Its totient is φ = 35926714137600.

The previous prime is 110120202022111. The next prime is 110120202022123. The reversal of 110120202022122 is 221220202021011.

It is a happy number.

110120202022122 is a `hidden beast` number, since 110 + 120 + 20 + 202 + 212 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80255277677961 + 29864924344161 = 8958531^2 + 5464881^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110120202022095 and 110120202022104.

It is not an unprimeable number, because it can be changed into a prime (110120202022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726900648 + ... + 727052124.

Almost surely, 2110120202022122 is an apocalyptic number.

110120202022122 is an abundant number, since it is smaller than the sum of its proper divisors (133599096076518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110120202022122 is a wasteful number, since it uses less digits than its factorization.

110120202022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156168 (or 156165 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110120202022122 its reverse (221220202021011), we get a palindrome (331340404043133).

The spelling of 110120202022122 in words is "one hundred ten trillion, one hundred twenty billion, two hundred two million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 101 178 202 267 303 534 606 801 909 1602 1818 4493 8986 8989 13479 17978 26958 26967 40437 53934 80874 80901 151477 161802 302954 399877 453793 454431 799754 907586 908862 1199631 1361379 1363293 2399262 2722758 2726586 3598893 4084137 7197786 8168274 13481453 15299177 26962906 30598354 40387577 40444359 45897531 80775154 80888718 91795062 121162731 121333077 137692593 242325462 242666154 275385186 363488193 680586161 726976386 1361172322 1361626753 2041758483 2723253506 4083516966 4084880259 6125275449 8169760518 12250550898 12254640777 24509281554 60572168329 68739202261 121144336658 137478404522 181716504987 206217606783 363433009974 412435213566 545149514961 618652820349 1090299029922 1237305640698 6117789001229 12235578002458 18353367003687 36706734007374 55060101011061 110120202022122