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1121002033312 = 25729257671471
BaseRepresentation
bin10000010100000000111…
…011011001000010100000
310222011111120002121021101
4100110000323121002200
5121331303010031222
62214551540004144
7143663322031240
oct20240073310240
93864446077241
101121002033312
113a2461472517
12161311390654
138192cc52715
143c3848a9b20
151e25e6a0927
hex10500ed90a0

1121002033312 has 96 divisors (see below), whose sum is σ = 2619385413120. Its totient is φ = 462057308160.

The previous prime is 1121002033187. The next prime is 1121002033331. The reversal of 1121002033312 is 2133302001211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121002033312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333737 + ... + 2005207.

It is an arithmetic number, because the mean of its divisors is an integer number (27285264720).

Almost surely, 21121002033312 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 1121002033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309692706560).

1121002033312 is an abundant number, since it is smaller than the sum of its proper divisors (1498383379808).

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

1121002033312 is a wasteful number, since it uses less digits than its factorization.

1121002033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671774 (or 671766 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1121002033312 its reverse (2133302001211), we get a palindrome (3254304034523).

It can be divided in two parts, 112100 and 2033312, that added together give a palindrome (2145412).

The spelling of 1121002033312 in words is "one trillion, one hundred twenty-one billion, two million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 257 406 464 514 812 928 1028 1624 1799 2056 3248 3598 4112 6496 7196 7453 8224 14392 14906 28784 29812 52171 57568 59624 104342 119248 208684 238496 417368 671471 834736 1342942 1669472 2685884 4700297 5371768 9400594 10743536 18801188 19472659 21487072 37602376 38945318 75204752 77890636 136308613 150409504 155781272 172568047 272617226 311562544 345136094 545234452 623125088 690272188 1090468904 1207976329 1380544376 2180937808 2415952658 2761088752 4361875616 4831905316 5004473363 5522177504 9663810632 10008946726 19327621264 20017893452 35031313541 38655242528 40035786904 70062627082 80071573808 140125254164 160143147616 280250508328 560501016656 1121002033312