Search a number
-
+
1103321023312 = 24293192982567
BaseRepresentation
bin10000000011100011000…
…011101100001101010000
310220110212100011020021011
4100003203003230031100
5121034100140221222
62202505250340304
7142466215650154
oct20034303541520
93813770136234
101103321023312
11395a08a54a62
121599b7b8a694
1380072b3b721
143b588597064
151da77307c77
hex100e30ec350

1103321023312 has 80 divisors (see below), whose sum is σ = 2285218022400. Its totient is φ = 514894786560.

The previous prime is 1103321023309. The next prime is 1103321023361. The reversal of 1103321023312 is 2133201233011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13321453 + ... + 13404019.

It is an arithmetic number, because the mean of its divisors is an integer number (28565225280).

Almost surely, 21103321023312 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 1103321023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142609011200).

1103321023312 is an abundant number, since it is smaller than the sum of its proper divisors (1181896999088).

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

1103321023312 is a wasteful number, since it uses less digits than its factorization.

1103321023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83564 (or 83558 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1103321023312 its reverse (2133201233011), we get a palindrome (3236522256323).

The spelling of 1103321023312 in words is "one trillion, one hundred three billion, three hundred twenty-one million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 929 1798 1858 3596 3716 7192 7432 14384 14864 26941 28799 53882 57598 82567 107764 115196 165134 215528 230392 330268 431056 460784 660536 835171 1321072 1670342 2394443 2559577 3340684 4788886 5119154 6681368 9577772 10238308 13362736 19155544 20476616 38311088 40953232 74227733 76704743 148455466 153409486 296910932 306818972 593821864 613637944 1187643728 1227275888 2224437547 2377847033 4448875094 4755694066 8897750188 9511388132 17795500376 19022776264 35591000752 38045552528 68957563957 137915127914 275830255828 551660511656 1103321023312