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1100001099852 = 223419333315281
BaseRepresentation
bin10000000000011101001…
…011001100000001001100
310220011021222010122110000
4100000131023030001030
5121010300240143402
62201200013044300
7142321024035054
oct20003513140114
93804258118400
101100001099852
11394564a42366
12159230186690
137c9640a1a85
143b3516b2564
151d930b1bc1c
hex1001d2cc04c

1100001099852 has 120 divisors (see below), whose sum is σ = 2891935016432. Its totient is φ = 364588646400.

The previous prime is 1100001099823. The next prime is 1100001099853. The reversal of 1100001099852 is 2589901000011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1100001099853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208291452 + ... + 208296732.

Almost surely, 21100001099852 is an apocalyptic number.

1100001099852 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 1100001099852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445967508216).

1100001099852 is an abundant number, since it is smaller than the sum of its proper divisors (1791933916580).

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

1100001099852 is a wasteful number, since it uses less digits than its factorization.

1100001099852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821 (or 8810 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

Adding to 1100001099852 its reverse (2589901000011), we get a palindrome (3689902099863).

The spelling of 1100001099852 in words is "one trillion, one hundred billion, one million, ninety-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 324 386 579 772 1158 1737 2316 3331 3474 5211 5281 6662 6948 9993 10422 10562 13324 15633 15843 19986 20844 21124 29979 31266 31686 39972 47529 59958 62532 63372 89937 95058 119916 142587 179874 190116 269811 285174 359748 427761 539622 570348 642883 855522 1019233 1079244 1285766 1711044 1928649 2038466 2571532 3057699 3857298 4076932 5785947 6115398 7714596 9173097 11571894 12230796 17357841 17591011 18346194 23143788 27519291 34715682 35182022 36692388 52073523 52773033 55038582 69431364 70364044 82557873 104147046 105546066 110077164 158319099 165115746 208294092 211092132 316638198 330231492 474957297 633276396 949914594 1424871891 1899829188 2849743782 3395065123 5699487564 6790130246 10185195369 13580260492 20370390738 30555586107 40740781476 61111172214 91666758321 122222344428 183333516642 275000274963 366667033284 550000549926 1100001099852