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1103231212122 = 2313219166734351
BaseRepresentation
bin10000000011011101101…
…101000101101001011010
310220110122002011100110210
4100003131231011221122
5121033404142241442
62202452321351550
7142464045402024
oct20033555055132
93813562140423
101103231212122
11395972292536
12159991a985b6
138005a354700
143b57a699014
151da6e4b719c
hex100ddb45a5a

1103231212122 has 96 divisors (see below), whose sum is σ = 2516578053120. Its totient is φ = 321387393600.

The previous prime is 1103231212117. The next prime is 1103231212183. The reversal of 1103231212122 is 2212121323011.

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 47 ways as a sum of consecutive naturals, for example, 32099247 + ... + 32133597.

It is an arithmetic number, because the mean of its divisors is an integer number (26214354720).

Almost surely, 21103231212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103231212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258289026560).

1103231212122 is an abundant number, since it is smaller than the sum of its proper divisors (1413346840998).

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

1103231212122 is a wasteful number, since it uses less digits than its factorization.

1103231212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36068 (or 36055 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1103231212122 its reverse (2212121323011), we get a palindrome (3315352535133).

The spelling of 1103231212122 in words is "one trillion, one hundred three billion, two hundred thirty-one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1482 1667 3211 3334 5001 6422 9633 10002 19266 21671 31673 34351 43342 63346 65013 68702 95019 103053 130026 190038 206106 281723 411749 446563 563446 652669 823498 845169 893126 1235247 1305338 1339689 1690338 1958007 2470494 2679378 3916014 5352737 5805319 8484697 10705474 11610638 16058211 16969394 17415957 25454091 32116422 34831914 50908182 57263117 110301061 114526234 171789351 220602122 330903183 343578702 661806366 744420521 1087999223 1488841042 2175998446 2233261563 3263997669 4466523126 6527995338 9677466773 14143989899 19354933546 28287979798 29032400319 42431969697 58064800638 84863939394 183871868687 367743737374 551615606061 1103231212122