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1103231312032 = 252354711932297
BaseRepresentation
bin10000000011011101101…
…101011110000010100000
310220110122002100102112011
4100003131231132002200
5121033404203441112
62202452323442304
7142464046266223
oct20033555360240
93813562312464
101103231312032
11395972350603
12159991b26394
138005a38b025
143b57a6c35ba
151da6e4d6aa7
hex100ddb5e0a0

1103231312032 has 96 divisors (see below), whose sum is σ = 2273456771712. Its totient is φ = 525997215744.

The previous prime is 1103231311999. The next prime is 1103231312083. The reversal of 1103231312032 is 2302131323011.

It is a junction number, because it is equal to n+sod(n) for n = 1103231311994 and 1103231312012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480291108 + ... + 480293404.

It is an arithmetic number, because the mean of its divisors is an integer number (23681841372).

Almost surely, 21103231312032 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 1103231312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136728385856).

1103231312032 is an abundant number, since it is smaller than the sum of its proper divisors (1170225459680).

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

1103231312032 is a wasteful number, since it uses less digits than its factorization.

1103231312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4062 counting only the distinct ones).

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

Adding to 1103231312032 its reverse (2302131323011), we get a palindrome (3405362635043).

The spelling of 1103231312032 in words is "one trillion, one hundred three billion, two hundred thirty-one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 547 736 1094 1193 2188 2297 2386 4376 4594 4772 8752 9188 9544 12581 17504 18376 19088 25162 27439 36752 38176 50324 52831 54878 73504 100648 105662 109756 201296 211324 219512 402592 422648 439024 652571 845296 878048 1256459 1305142 1690592 2512918 2610284 2740321 5025836 5220568 5480642 10051672 10441136 10961284 15009133 20103344 20882272 21922568 28898557 30018266 40206688 43845136 57797114 60036532 63027383 87690272 115594228 120073064 126054766 231188456 240146128 252109532 462376912 480292256 504219064 924753824 1008438128 1498955587 2016876256 2997911174 5995822348 11991644696 23983289392 34475978501 47966578784 68951957002 137903914004 275807828008 551615656016 1103231312032