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1010020210112 = 261710743919763
BaseRepresentation
bin11101011001010011110…
…01010101010111000000
310120120001001012211200002
432230221321111113000
5113022010133210422
62051555154215132
7132654146063414
oct16545171252700
93516031184602
101010020210112
1135a390094081
121438b98844a8
1374324210c54
1436c5714ad44
151b4162b7692
hexeb29e555c0

1010020210112 has 112 divisors (see below), whose sum is σ = 2146977550080. Its totient is φ = 469765189632.

The previous prime is 1010020210099. The next prime is 1010020210123. The reversal of 1010020210112 is 2110120200101.

1010020210112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010020210093 and 1010020210102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51096743 + ... + 51116505.

Almost surely, 21010020210112 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 1010020210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073488775040).

1010020210112 is an abundant number, since it is smaller than the sum of its proper divisors (1136957339968).

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

1010020210112 is a wasteful number, since it uses less digits than its factorization.

1010020210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20338 (or 20328 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010020210112 its reverse (2110120200101), we get a palindrome (3120140410213).

The spelling of 1010020210112 in words is "one trillion, ten billion, twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 136 214 272 428 439 544 856 878 1088 1712 1756 1819 3424 3512 3638 6848 7024 7276 7463 14048 14552 14926 19763 28096 29104 29852 39526 46973 58208 59704 79052 93946 116416 119408 158104 187892 238816 316208 335971 375784 477632 632416 671942 751568 798541 1264832 1343884 1503136 1597082 2114641 2687768 3006272 3194164 4229282 5375536 6388328 8458564 8675957 10751072 12776656 16917128 17351914 21502144 25553312 33834256 34703828 35948897 51106624 67668512 69407656 71897794 135337024 138815312 143795588 147491269 277630624 287591176 294982538 555261248 575182352 589965076 928327399 1150364704 1179930152 1856654798 2300729408 2359860304 3713309596 4719720608 7426619192 9439441216 14853238384 15781565783 29706476768 31563131566 59412953536 63126263132 126252526264 252505052528 505010105056 1010020210112