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31212131030100 = 22325238390548683
BaseRepresentation
bin1110001100011001000111…
…11110111001010001010100
311002111211222002002001022200
413012030203332321101110
513042334421020430400
6150214353253524500
76401000463220026
oct706144376712124
9132454862061280
1031212131030100
119a43a992a4659
123601153643730
1314553a3078077
1479c964a80016
15391d749b8b00
hex1c6323fb9454

31212131030100 has 108 divisors (see below), whose sum is σ = 98088129624576. Its totient is φ = 8301503165760.

The previous prime is 31212131030089. The next prime is 31212131030131. The reversal of 31212131030100 is 103013121213.

31212131030100 is a `hidden beast` number, since 31 + 2 + 1 + 21 + 310 + 301 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44929642 + ... + 45619041.

Almost surely, 231212131030100 is an apocalyptic number.

31212131030100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31212131030100 is an abundant number, since it is smaller than the sum of its proper divisors (66875998594476).

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

31212131030100 is a wasteful number, since it uses less digits than its factorization.

31212131030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90549086 (or 90549076 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31212131030100 its reverse (103013121213), we get a palindrome (31315144151313).

The spelling of 31212131030100 in words is "thirty-one trillion, two hundred twelve billion, one hundred thirty-one million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 383 450 766 900 1149 1532 1915 2298 3447 3830 4596 5745 6894 7660 9575 11490 13788 17235 19150 22980 28725 34470 38300 57450 68940 86175 114900 172350 344700 90548683 181097366 271646049 362194732 452743415 543292098 814938147 905486830 1086584196 1358230245 1629876294 1810973660 2263717075 2716460490 3259752588 4074690735 4527434150 5432920980 6791151225 8149381470 9054868300 13582302450 16298762940 20373453675 27164604900 34680145589 40746907350 69360291178 81493814700 104040436767 138720582356 173400727945 208080873534 312121310301 346801455890 416161747068 520202183835 624242620602 693602911780 867003639725 1040404367670 1248485241204 1560606551505 1734007279450 2080808735340 2601010919175 3121213103010 3468014558900 5202021838350 6242426206020 7803032757525 10404043676700 15606065515050 31212131030100