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1100112200001 = 32172732139571
BaseRepresentation
bin10000000000100011110…
…011000000000101000001
310220011120201012010012100
4100000203303000011001
5121011012210400001
62201215022221013
7142323543261153
oct20004363000501
93804521163170
101100112200001
11394611725571
12159261424769
137c981100ac9
143b362352ad3
151d93a765586
hex10023cc0141

1100112200001 has 108 divisors (see below), whose sum is σ = 1726794909840. Its totient is φ = 674729118720.

The previous prime is 1100112199999. The next prime is 1100112200017. The reversal of 1100112200001 is 1000022110011.

It is a happy number.

It is not a de Polignac number, because 1100112200001 - 21 = 1100112199999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1100112200041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1926641046 + ... + 1926641616.

Almost surely, 21100112200001 is an apocalyptic number.

It is an amenable number.

1100112200001 is a deficient number, since it is larger than the sum of its proper divisors (626682709839).

1100112200001 is a wasteful number, since it uses less digits than its factorization.

1100112200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100112200001 its reverse (1000022110011), we get a palindrome (2100134310012).

The spelling of 1100112200001 in words is "one trillion, one hundred billion, one hundred twelve million, two hundred thousand, one".

Divisors: 1 3 9 17 51 73 139 153 219 289 417 571 657 867 1241 1251 1713 2363 2601 3723 5139 5329 7089 9707 10147 11169 15987 21097 21267 29121 30441 40171 41683 47961 63291 79369 87363 90593 91323 120513 125049 165019 172499 189873 238107 271779 361539 375147 495057 517497 708611 714321 740731 815337 1349273 1485171 1540081 1552491 2125833 2222193 2932483 3042859 4047819 4620243 5793937 6377499 6666579 8797449 9128577 12046387 12143457 12592427 13860729 17381811 22937641 26392347 27385731 36139161 37777281 51728603 52145433 68812923 98496929 108417483 113331843 155185809 206438769 214071259 295490787 422957401 465557427 642213777 879386251 886472361 1268872203 1674447793 1926641331 2638158753 3806616609 5023343379 7190275817 7914476259 15070030137 21570827451 64712482353 122234688889 366704066667 1100112200001