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1042232313132 = 2232197787186733
BaseRepresentation
bin11110010101010011110…
…00110000010100101100
310200122011221222012220200
433022221320300110230
5114033442433010012
62114443411313500
7135204326330253
oct17125170602454
93618157865820
101042232313132
1137200aa7391a
12149ba95ab890
137738898453a
14386312a379a
151c19e1ee3dc
hexf2a9e3052c

1042232313132 has 72 divisors (see below), whose sum is σ = 2651283691056. Its totient is φ = 345206219904.

The previous prime is 1042232313097. The next prime is 1042232313209. The reversal of 1042232313132 is 2313132322401.

1042232313132 is a `hidden beast` number, since 1 + 0 + 4 + 22 + 323 + 1 + 313 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1042232313096 and 1042232313105.

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 23 ways as a sum of consecutive naturals, for example, 5488038 + ... + 5674770.

It is an arithmetic number, because the mean of its divisors is an integer number (36823384598).

Almost surely, 21042232313132 is an apocalyptic number.

1042232313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1042232313132 is an abundant number, since it is smaller than the sum of its proper divisors (1609051377924).

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

1042232313132 is a wasteful number, since it uses less digits than its factorization.

1042232313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187727 (or 187722 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1042232313132 its reverse (2313132322401), we get a palindrome (3355364635533).

The spelling of 1042232313132 in words is "one trillion, forty-two billion, two hundred thirty-two million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 787 788 1182 1574 1773 2361 2364 3148 3546 4722 7083 7092 9444 14166 28332 155039 186733 310078 373466 465117 560199 620156 746932 930234 1120398 1395351 1680597 1860468 2240796 2790702 3361194 5581404 6722388 36786401 73572802 110359203 146958871 147145604 220718406 293917742 331077609 440876613 441436812 587835484 662155218 881753226 1322629839 1324310436 1763506452 2645259678 5290519356 28950897587 57901795174 86852692761 115803590348 173705385522 260558078283 347410771044 521116156566 1042232313132