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1100103331212 = 2232292531416333
BaseRepresentation
bin10000000000100011010…
…001001010110110001100
310220011120002111112111200
4100000203101022312030
5121011002423044322
62201214104145500
7142323405012504
oct20004321126614
93804502445450
101100103331212
11394607718296
1215925a468290
137c97c3170c2
143b3610c4a04
151d939ab28ac
hex1002344ad8c

1100103331212 has 72 divisors (see below), whose sum is σ = 2877850488240. Its totient is φ = 353915506560.

The previous prime is 1100103331153. The next prime is 1100103331253. The reversal of 1100103331212 is 2121333010011.

1100103331212 is a `hidden beast` number, since 110 + 0 + 10 + 3 + 331 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2434198 + ... + 2850530.

It is an arithmetic number, because the mean of its divisors is an integer number (39970145670).

Almost surely, 21100103331212 is an apocalyptic number.

1100103331212 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 1100103331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438925244120).

1100103331212 is an abundant number, since it is smaller than the sum of its proper divisors (1777747157028).

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

1100103331212 is a wasteful number, since it uses less digits than its factorization.

1100103331212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418903 (or 418898 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1100103331212 its reverse (2121333010011), we get a palindrome (3221436341223).

The spelling of 1100103331212 in words is "one trillion, one hundred billion, one hundred three million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2531 5062 7593 10124 15186 22779 30372 45558 73399 91116 146798 220197 293596 416333 440394 660591 832666 880788 1248999 1321182 1665332 2497998 2642364 3746997 4995996 7493994 12073657 14987988 24147314 36220971 48294628 72441942 108662913 144883884 217325826 434651652 1053738823 2107477646 3161216469 4214955292 6322432938 9483649407 12644865876 18967298814 30558425867 37934597628 61116851734 91675277601 122233703468 183350555202 275025832803 366701110404 550051665606 1100103331212