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20002120101122 = 21753317290912037
BaseRepresentation
bin1001000110001000110110…
…10000110110110100000010
32121211011222010210210122112
410203010123100312310002
510110203320221213442
6110312502551135322
74133051116415465
oct443043320666402
977734863723575
1020002120101122
116411940385425
1222b0665674542
13b212655bc043
144d2171a5b2dc
1524a47b06e082
hex12311b436d02

20002120101122 has 64 divisors (see below), whose sum is σ = 32483436467040. Its totient is φ = 9202100883456.

The previous prime is 20002120101101. The next prime is 20002120101137. The reversal of 20002120101122 is 22110102120002.

It can be written as a sum of positive squares in 16 ways, for example, as 1131949172761 + 18870170928361 = 1063931^2 + 4343981^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20002120101097 and 20002120101106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1661713688 + ... + 1661725724.

Almost surely, 220002120101122 is an apocalyptic number.

20002120101122 is a deficient number, since it is larger than the sum of its proper divisors (12481316365918).

20002120101122 is a wasteful number, since it uses less digits than its factorization.

20002120101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15335.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20002120101122 its reverse (22110102120002), we get a palindrome (42112222221124).

The spelling of 20002120101122 in words is "twenty trillion, two billion, one hundred twenty million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 17 34 53 106 317 634 901 1802 2909 5389 5818 10778 12037 16801 24074 33602 49453 98906 154177 204629 285617 308354 409258 571234 637961 922153 1275922 1844306 2621009 3815729 5242018 7631458 10845337 15676601 21690674 31353202 35015633 48874109 64867393 70031266 97748218 129734786 202233637 404467274 595265761 830859853 1190531522 1661719706 1855828549 3437971829 3711657098 6875943658 11099955661 22199911322 31549085333 63098170666 188699246237 377398492474 588297650033 1176595300066 10001060050561 20002120101122