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20020022122002 = 23743107260939709
BaseRepresentation
bin1001000110101010001100…
…10011101001011000010010
32121212220011202121200120220
410203111012103221120102
510111002001130401002
6110325023213413510
74134253545163260
oct443250623513022
977786152550526
1020020022122002
116419497626701
1222b4020a9a296
13b22b594358c6
144d2d8d461430
1524ab77a217bc
hex1235464e9612

20020022122002 has 128 divisors (see below), whose sum is σ = 47281153075200. Its totient is φ = 5532507380736.

The previous prime is 20020022121971. The next prime is 20020022122003. The reversal of 20020022122002 is 20022122002002.

It is not an unprimeable number, because it can be changed into a prime (20020022122003) 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, 504148524 + ... + 504188232.

It is an arithmetic number, because the mean of its divisors is an integer number (369384008400).

Almost surely, 220020022122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020022122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23640576537600).

20020022122002 is an abundant number, since it is smaller than the sum of its proper divisors (27261130953198).

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

20020022122002 is a wasteful number, since it uses less digits than its factorization.

20020022122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42480.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20020022122002 its reverse (20022122002002), we get a palindrome (40042144124004).

The spelling of 20020022122002 in words is "twenty trillion, twenty billion, twenty-two million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 14 21 42 43 86 107 129 214 258 301 321 602 642 749 903 1498 1806 2247 2609 4494 4601 5218 7827 9202 13803 15654 18263 27606 32207 36526 39709 54789 64414 79418 96621 109578 112187 119127 193242 224374 238254 277963 279163 336561 555926 558326 673122 785309 833889 837489 1570618 1667778 1674978 1707487 1954141 2355927 3414974 3908282 4248863 4711854 5122461 5862423 8497726 10244922 11724846 11952409 12004009 12746589 23904818 24008018 25493178 29742041 35857227 36012027 59484082 71714454 72024054 84028063 89226123 103600781 168056126 178452246 182701109 207201562 252084189 310802343 365402218 504168378 548103327 621604686 725205467 1096206654 1278907763 1450410934 2175616401 2557815526 3836723289 4351232802 4454833583 7673446578 8909667166 11085283567 13364500749 22170567134 26729001498 31183835081 33255850701 62367670162 66511701402 77596984969 93551505243 155193969938 187103010486 232790954907 465581909814 476667193381 953334386762 1430001580143 2860003160286 3336670353667 6673340707334 10010011061001 20020022122002