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10112010123012 = 22372320172594923
BaseRepresentation
bin1001001100100110001011…
…0001010111011100000100
31022210200212101001001120220
42103021202301113130010
52311133344042414022
633301220542424340
72062366015600560
oct223114261273404
938720771031526
1010112010123012
113249530105316
1211739378920b0
13584734c35315
1426d5d12846a0
1512808374c85c
hex93262c57704

10112010123012 has 96 divisors (see below), whose sum is σ = 28151728453632. Its totient is φ = 2762159533056.

The previous prime is 10112010123001. The next prime is 10112010123013. The reversal of 10112010123012 is 21032101021101.

It is a junction number, because it is equal to n+sod(n) for n = 10112010122982 and 10112010123000.

It is not an unprimeable number, because it can be changed into a prime (10112010123013) 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 31 ways as a sum of consecutive naturals, for example, 2599383 + ... + 5194305.

It is an arithmetic number, because the mean of its divisors is an integer number (293247171392).

Almost surely, 210112010123012 is an apocalyptic number.

10112010123012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112010123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075864226816).

10112010123012 is an abundant number, since it is smaller than the sum of its proper divisors (18039718330620).

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

10112010123012 is a wasteful number, since it uses less digits than its factorization.

10112010123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596977 (or 2596975 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10112010123012 its reverse (21032101021101), we get a palindrome (31144111144113).

The spelling of 10112010123012 in words is "ten trillion, one hundred twelve billion, ten million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 2017 4034 6051 8068 12102 14119 24204 28238 42357 46391 56476 84714 92782 139173 169428 185564 278346 324737 556692 649474 974211 1298948 1948422 2594923 3896844 5189846 7784769 10379692 15569538 18164461 31139076 36328922 54493383 59683229 72657844 108986766 119366458 179049687 217973532 238732916 358099374 417782603 716198748 835565206 1253347809 1671130412 2506695618 5013391236 5233959691 10467919382 15701879073 20935838764 31403758146 36637717837 62807516292 73275435674 109913153511 120381072893 146550871348 219826307022 240762145786 361143218679 439652614044 481524291572 722286437358 842667510251 1444572874716 1685335020502 2528002530753 3370670041004 5056005061506 10112010123012