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20122111100112 = 243773381701549
BaseRepresentation
bin1001001001101000010110…
…10010001100010011010000
32122020122200112001010002020
410210310023102030103100
510114140040420200422
6110443545322451440
74144526446162050
oct444641322142320
978218615033066
1020122111100112
11645881515199a
12230b972363b80
13b2c678974468
144d7cb5add560
1524d65034795c
hex124d0b48c4d0

20122111100112 has 80 divisors (see below), whose sum is σ = 59489186198400. Its totient is φ = 5741331181056.

The previous prime is 20122111100101. The next prime is 20122111100123. The reversal of 20122111100112 is 21100111122102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20122111100101) and next prime (20122111100123).

It is a junction number, because it is equal to n+sod(n) for n = 20122111100091 and 20122111100100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40604487 + ... + 41097062.

It is an arithmetic number, because the mean of its divisors is an integer number (743614827480).

Almost surely, 220122111100112 is an apocalyptic number.

It is an amenable number.

20122111100112 is an abundant number, since it is smaller than the sum of its proper divisors (39367075098288).

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

20122111100112 is a wasteful number, since it uses less digits than its factorization.

20122111100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81702300 (or 81702294 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20122111100112 its reverse (21100111122102), we get a palindrome (41222222222214).

The spelling of 20122111100112 in words is "twenty trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 733 1466 2199 2932 4398 5131 5864 8796 10262 11728 15393 17592 20524 30786 35184 41048 61572 82096 123144 246288 81701549 163403098 245104647 326806196 490209294 571910843 653612392 980418588 1143821686 1307224784 1715732529 1960837176 2287643372 3431465058 3921674352 4575286744 6862930116 9150573488 13725860232 27451720464 59887235417 119774470834 179661706251 239548941668 359323412502 419210647919 479097883336 718646825004 838421295838 958195766672 1257631943757 1437293650008 1676842591676 2515263887514 2874587300016 3353685183352 5030527775028 6707370366704 10061055550056 20122111100112