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1101000112212 = 223711133113812141
BaseRepresentation
bin10000000001011000101…
…110000111100001010100
310220020212120221201202210
4100001120232013201110
5121014322012042322
62201443101233420
7142354544353410
oct20013056074124
93806776851683
101101000112212
11394a27951110
1215946a862870
137ca93054550
143b408243d40
151d98d6a570c
hex10058b87854

1101000112212 has 384 divisors, whose sum is σ = 3564796870656. Its totient is φ = 255156480000.

The previous prime is 1101000112171. The next prime is 1101000112217. The reversal of 1101000112212 is 2122110001011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101000112217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 514244662 + ... + 514246802.

It is an arithmetic number, because the mean of its divisors is an integer number (9283325184).

Almost surely, 21101000112212 is an apocalyptic number.

1101000112212 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 1101000112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782398435328).

1101000112212 is an abundant number, since it is smaller than the sum of its proper divisors (2463796758444).

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

1101000112212 is a wasteful number, since it uses less digits than its factorization.

1101000112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1101000112212 its reverse (2122110001011), we get a palindrome (3223110113223).

The spelling of 1101000112212 in words is "one trillion, one hundred one billion, one hundred twelve thousand, two hundred twelve".