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20202100000112 = 2417247380324443
BaseRepresentation
bin1001001011111101010101…
…11111101000010101110000
32122112022011002021020202002
410211332222333220111300
510121442400100000422
6110544414442313132
74153360604463122
oct445765277502560
978468132236662
1020202100000112
116489731867418
1223233764b87a8
13b370856c0b14
144dbb031c9212
15250782872692
hex125faafe8570

20202100000112 has 120 divisors (see below), whose sum is σ = 42477024796416. Its totient is φ = 9301769534464.

The previous prime is 20202100000111. The next prime is 20202100000123. The reversal of 20202100000112 is 21100000120202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20202100000093 and 20202100000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202100000111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826486163 + ... + 826510605.

Almost surely, 220202100000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202100000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21238512398208).

20202100000112 is an abundant number, since it is smaller than the sum of its proper divisors (22274924796304).

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

20202100000112 is a wasteful number, since it uses less digits than its factorization.

20202100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28335 (or 28312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20202100000112 its reverse (21100000120202), we get a palindrome (41302100120314).

The spelling of 20202100000112 in words is "twenty trillion, two hundred two billion, one hundred million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 289 376 578 752 799 1156 1598 2312 3196 3803 4624 6392 7606 12784 13583 15212 24443 27166 30424 48886 54332 60848 64651 97772 108664 129302 178741 195544 217328 258604 357482 391088 415531 517208 714964 831062 1034416 1099067 1148821 1429928 1662124 2198134 2297642 2859856 3038597 3324248 4396268 4595284 6077194 6648496 7064027 8792536 9190568 12154388 14128054 17585072 18381136 19529957 24308776 28256108 39059914 48617552 51656149 56512216 78119828 92956729 103312298 113024432 156239656 185913458 206624596 312479312 332009269 371826916 413249192 664018538 743653832 826498384 1328037076 1487307664 1580264393 2656074152 3160528786 4368966263 5312148304 6321057572 8737932526 12642115144 17475865052 25284230288 26864494681 34951730104 53728989362 69903460208 74272426471 107457978724 148544852942 214915957448 297089705884 429831914896 594179411768 1188358823536 1262631250007 2525262500014 5050525000028 10101050000056 20202100000112