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2012231313144 = 2333131742153329
BaseRepresentation
bin11101010010000010010…
…101010010011011111000
321010100220212012221022000
4131102002111102123320
5230432022204010034
64140223432301000
7265243652644113
oct35220225223370
97110825187260
102012231313144
11706423132448
12285b98241760
131179a25c7a80
146d56d0c157a
1537521be0599
hex1d4825526f8

2012231313144 has 128 divisors (see below), whose sum is σ = 6373583496000. Its totient is φ = 582727606272.

The previous prime is 2012231313137. The next prime is 2012231313173. The reversal of 2012231313144 is 4413131322102.

2012231313144 is a `hidden beast` number, since 20 + 12 + 2 + 313 + 1 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 21028929 + ... + 21124400.

Almost surely, 22012231313144 is an apocalyptic number.

2012231313144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2012231313144 is an abundant number, since it is smaller than the sum of its proper divisors (4361352182856).

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

2012231313144 is a wasteful number, since it uses less digits than its factorization.

2012231313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42153374 (or 42153364 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2012231313144 its reverse (4413131322102), we get a palindrome (6425362635246).

The spelling of 2012231313144 in words is "two trillion, twelve billion, two hundred thirty-one million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 5304 5967 7956 11934 15912 23868 47736 42153329 84306658 126459987 168613316 252919974 337226632 379379961 505839948 547993277 716606593 758759922 1011679896 1095986554 1138139883 1433213186 1517519844 1643979831 2149819779 2191973108 2276279766 2866426372 3035039688 3287959662 4299639558 4383946216 4552559532 4931939493 5732852744 6449459337 6575919324 8599279116 9105119064 9315885709 9863878986 12898918674 13151838648 14795818479 17198558232 18631771418 19348378011 19727757972 25797837348 27947657127 29591636958 37263542836 38696756022 39455515944 51595674696 55895314254 59183273916 74527085672 77393512044 83842971381 111790628508 118366547832 154787024088 167685942762 223581257016 251528914143 335371885524 503057828286 670743771048 1006115656572 2012231313144