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100001001100011 = 31129909111494253
BaseRepresentation
bin10110101111001101001100…
…001001011101001011101011
3111010002000001201001200022220
4112233031030021131023223
5101101404022240200021
6552403454203445123
730030556013304204
oct2657151411351353
9433060051050286
10100001001100011
1129955206111460
12b270a44b267a3
1343a5091679a0b
141a9a107b685ab
15b863c761bcc6
hex5af34c25d2eb

100001001100011 has 32 divisors (see below), whose sum is σ = 150488290609920. Its totient is φ = 58510340380800.

The previous prime is 100001001099917. The next prime is 100001001100061. The reversal of 100001001100011 is 110001100100001.

It is not a de Polignac number, because 100001001100011 - 29 = 100001001099499 is a prime.

100001001100011 is a modest number, since divided by 1100011 gives 1000010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100001001100061) 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, 2952961 + ... + 14447213.

It is an arithmetic number, because the mean of its divisors is an integer number (4702759081560).

Almost surely, 2100001001100011 is an apocalyptic number.

100001001100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001001100011 is a deficient number, since it is larger than the sum of its proper divisors (50487289509909).

100001001100011 is a wasteful number, since it uses less digits than its factorization.

100001001100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503387.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100001001100011 its reverse (110001100100001), we get a palindrome (210002101200012).

It can be divided in two parts, 10000100 and 1100011, that added together give a palindrome (11100111).

The spelling of 100001001100011 in words is "one hundred trillion, one billion, one million, one hundred thousand, eleven".

Divisors: 1 3 11 29 33 87 319 957 9091 27273 100001 263639 300003 790917 2900029 8700087 11494253 34482759 126436783 333333337 379310349 1000000011 3666666707 11000000121 104494254023 313482762069 1149436794253 3030333366667 3448310382759 9091000100001 33333667033337 100001001100011