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10212031031112 = 23321313133459107
BaseRepresentation
bin1001010010011010110001…
…1110110110011101001000
31100011021001000000122100200
42110212230132312131020
52314303214420443422
633415201533532200
72102536435356621
oct224465436663510
940137030018320
1010212031031112
113287997320a39
12118b1b0644060
13590cb4b85601
1427439cdc8a48
1512a9897172ac
hex949ac7b6748

10212031031112 has 96 divisors (see below), whose sum is σ = 27957756134880. Its totient is φ = 3367232144640.

The previous prime is 10212031031039. The next prime is 10212031031119. The reversal of 10212031031112 is 21113013021201.

10212031031112 is a `hidden beast` number, since 1 + 0 + 21 + 20 + 310 + 311 + 1 + 2 = 666.

10212031031112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10212031031119) 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, 1222663 + ... + 4681769.

It is an arithmetic number, because the mean of its divisors is an integer number (291226626405).

Almost surely, 210212031031112 is an apocalyptic number.

10212031031112 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 10212031031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13978878067440).

10212031031112 is an abundant number, since it is smaller than the sum of its proper divisors (17745725103768).

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

10212031031112 is a wasteful number, since it uses less digits than its factorization.

10212031031112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459563 (or 3459556 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10212031031112 its reverse (21113013021201), we get a palindrome (31325044052313).

The spelling of 10212031031112 in words is "ten trillion, two hundred twelve billion, thirty-one million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 313 393 524 626 786 939 1048 1179 1252 1572 1878 2358 2504 2817 3144 3756 4716 5634 7512 9432 11268 22536 41003 82006 123009 164012 246018 328024 369027 492036 738054 984072 1476108 2952216 3459107 6918214 10377321 13836428 20754642 27672856 31131963 41509284 62263926 83018568 124527852 249055704 453143017 906286034 1082700491 1359429051 1812572068 2165400982 2718858102 3248101473 3625144136 4078287153 4330801964 5437716204 6496202946 8156574306 8661603928 9744304419 10875432408 12992405892 16313148612 19488608838 25984811784 32626297224 38977217676 77954435352 141833764321 283667528642 425501292963 567335057284 851002585926 1134670114568 1276503878889 1702005171852 2553007757778 3404010343704 5106015515556 10212031031112