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20122100311230 = 2335191656359453
BaseRepresentation
bin1001001001101000010101…
…01001000010010010111110
32122020122122202201222112000
410210310022221002102332
510114140030134424410
6110443544255323130
74144526255365431
oct444641251022276
978218582658460
1020122100311230
11645880a053065
12230b96a8204a6
13b2c6766677c8
144d7cb44d1818
1524d64e415dc0
hex124d0aa424be

20122100311230 has 128 divisors (see below), whose sum is σ = 53948997181440. Its totient is φ = 5336896648320.

The previous prime is 20122100311163. The next prime is 20122100311231. The reversal of 20122100311230 is 3211300122102.

20122100311230 is a `hidden beast` number, since 2 + 0 + 1 + 22 + 100 + 311 + 230 = 666.

It is a super-2 number, since 2×201221003112302 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122100311231) 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 63 ways as a sum of consecutive naturals, for example, 338424184 + ... + 338483636.

It is an arithmetic number, because the mean of its divisors is an integer number (421476540480).

Almost surely, 220122100311230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122100311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26974498590720).

20122100311230 is an abundant number, since it is smaller than the sum of its proper divisors (33826896870210).

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

20122100311230 is a wasteful number, since it uses less digits than its factorization.

20122100311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66223 (or 66217 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20122100311230 its reverse (3211300122102), we get a palindrome (23333400433332).

The spelling of 20122100311230 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 191 270 382 573 955 1146 1719 1910 2865 3438 5157 5730 6563 8595 10314 13126 17190 19689 25785 32815 39378 51570 59067 59453 65630 98445 118134 118906 177201 178359 196890 295335 297265 354402 356718 535077 590670 594530 886005 891795 1070154 1253533 1605231 1772010 1783590 2507066 2675385 3210462 3760599 5350770 6267665 7521198 8026155 11281797 11355523 12535330 16052310 18802995 22563594 22711046 33845391 34066569 37605990 56408985 56777615 67690782 68133138 102199707 112817970 113555230 169226955 170332845 204399414 306599121 338453910 340665690 390190039 510998535 613198242 780380078 1021997070 1170570117 1532995605 1950950195 2341140234 3065991210 3511710351 3901900390 5852850585 7023420702 10535131053 11705701170 17558551755 21070262106 35117103510 52675655265 74526297449 105351310530 149052594898 223578892347 372631487245 447157784694 670736677041 745262974490 1117894461735 1341473354082 2012210031123 2235788923470 3353683385205 4024420062246 6707366770410 10061050155615 20122100311230