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10020100001112 = 2333445710408201
BaseRepresentation
bin1001000111001111110010…
…0000000100110101011000
31022110220121222221002211000
42101303330200010311120
52303132131100013422
633151100445505000
72052633263466525
oct221637440046530
938426558832730
1010020100001112
113213556255393
121159b67272160
13578b784772c6
14268d9280614c
151259a4863cac
hex91cfc804d58

10020100001112 has 64 divisors (see below), whose sum is σ = 27839858709600. Its totient is φ = 3339283622400.

The previous prime is 10020100001011. The next prime is 10020100001113. The reversal of 10020100001112 is 21110000102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020100001094 and 10020100001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020100001113) 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 15 ways as a sum of consecutive naturals, for example, 4241389 + ... + 6166812.

Almost surely, 210020100001112 is an apocalyptic number.

10020100001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020100001112 is an abundant number, since it is smaller than the sum of its proper divisors (17819758708488).

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

10020100001112 is a wasteful number, since it uses less digits than its factorization.

10020100001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412673 (or 10412663 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020100001112 its reverse (21110000102001), we get a palindrome (31130100103113).

The spelling of 10020100001112 in words is "ten trillion, twenty billion, one hundred million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 4457 8914 13371 17828 26742 35656 40113 53484 80226 106968 120339 160452 240678 320904 481356 962712 10408201 20816402 31224603 41632804 62449206 83265608 93673809 124898412 187347618 249796824 281021427 374695236 562042854 749390472 1124085708 2248171416 46389351857 92778703714 139168055571 185557407428 278336111142 371114814856 417504166713 556672222284 835008333426 1113344444568 1252512500139 1670016666852 2505025000278 3340033333704 5010050000556 10020100001112