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2031123102012 = 22355097275647
BaseRepresentation
bin11101100011101000010…
…111101111100100111100
321012011200110110020200000
4131203220113233210330
5231234220003231022
64153030213034300
7266513060335554
oct35435027574474
97164613406600
102031123102012
11713438048aa4
1228978b025990
131196c3508474
147044212c164
1537c7a5026ac
hex1d8e85ef93c

2031123102012 has 144 divisors (see below), whose sum is σ = 5343129093120. Its totient is φ = 674661949632.

The previous prime is 2031123101983. The next prime is 2031123102017. The reversal of 2031123102012 is 2102013211302.

2031123102012 is a `hidden beast` number, since 20 + 311 + 2 + 310 + 20 + 1 + 2 = 666.

It is a super-2 number, since 2×20311231020122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031123102017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359678973 + ... + 359684619.

Almost surely, 22031123102012 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 2031123102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671564546560).

2031123102012 is an abundant number, since it is smaller than the sum of its proper divisors (3312005991108).

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

2031123102012 is a wasteful number, since it uses less digits than its factorization.

2031123102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2031123102012 its reverse (2102013211302), we get a palindrome (4133136313314).

It can be divided in two parts, 203112 and 3102012, that added together give a square (3305124 = 18182).

The spelling of 2031123102012 in words is "two trillion, thirty-one billion, one hundred twenty-three million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 509 727 972 1018 1454 1527 2036 2181 2908 3054 4362 4581 5647 6108 6543 8724 9162 11294 13086 13743 16941 18324 19629 22588 26172 27486 33882 39258 41229 50823 54972 58887 67764 78516 82458 101646 117774 123687 152469 164916 176661 203292 235548 247374 304938 353322 370043 457407 494748 609876 706644 740086 914814 1110129 1372221 1480172 1829628 2220258 2744442 2874323 3330387 4105369 4440516 5488884 5748646 6660774 8210738 8622969 9991161 11497292 12316107 13321548 16421476 17245938 19982322 24632214 25868907 29973483 34491876 36948321 39964644 49264428 51737814 59946966 73896642 77606721 89920449 103475628 110844963 119893932 147793284 155213442 179840898 221689926 232820163 310426884 332534889 359681796 443379852 465640326 665069778 698460489 931280652 997604667 1330139556 1396920978 1995209334 2089632821 2793841956 3990418668 4179265642 6268898463 8358531284 12537796926 18806695389 25075593852 37613390778 56420086167 75226781556 112840172334 169260258501 225680344668 338520517002 507780775503 677041034004 1015561551006 2031123102012