Search a number
-
+
1102221102012 = 2231943211532823
BaseRepresentation
bin10000000010100001011…
…111110100101110111100
310220101000200110102220020
4100002201133310232330
5121024322100231022
62202204155252140
7142430031532422
oct20024137645674
93811020412806
101102221102012
113954a4093898
1215974b74a050
137cc28cb7814
143b4c2479112
151da1098a35c
hex100a17f4bbc

1102221102012 has 96 divisors (see below), whose sum is σ = 2783302072320. Its totient is φ = 338363282880.

The previous prime is 1102221101963. The next prime is 1102221102013. The reversal of 1102221102012 is 2102011222011.

It is a junction number, because it is equal to n+sod(n) for n = 1102221101982 and 1102221102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102221102013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1802233 + ... + 2335055.

It is an arithmetic number, because the mean of its divisors is an integer number (28992729920).

Almost surely, 21102221102012 is an apocalyptic number.

1102221102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102221102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391651036160).

1102221102012 is an abundant number, since it is smaller than the sum of its proper divisors (1681080970308).

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

1102221102012 is a wasteful number, since it uses less digits than its factorization.

1102221102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533103 (or 533101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1102221102012 its reverse (2102011222011), we get a palindrome (3204232324023).

The spelling of 1102221102012 in words is "one trillion, one hundred two billion, two hundred twenty-one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 211 228 258 422 516 633 817 844 1266 1634 2451 2532 3268 4009 4902 8018 9073 9804 12027 16036 18146 24054 27219 36292 48108 54438 108876 172387 344774 517161 532823 689548 1034322 1065646 1598469 2068644 2131292 3196938 6393876 10123637 20247274 22911389 30370911 40494548 45822778 60741822 68734167 91645556 112425653 121483644 137468334 224851306 274936668 337276959 435316391 449702612 674553918 870632782 1305949173 1349107836 1741265564 2136087407 2611898346 4272174814 4834303079 5223796692 6408262221 8544349628 9668606158 12816524442 14502909237 19337212316 25633048884 29005818474 58011636948 91851758501 183703517002 275555275503 367407034004 551110551006 1102221102012