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100012100110011 = 32375872008925469
BaseRepresentation
bin10110101111010111100001…
…101100110100011010111011
3111010010001201012210210202100
4112233113201230310122323
5101102044240112010021
6552412531410034443
730031431034320015
oct2657274154643273
9433101635723670
10100012100110011
11299599912249a1
12b273021b78a23
1343a613cc5c35b
141a9a87bc4d1b5
15b86826c17626
hex5af5e1b346bb

100012100110011 has 48 divisors (see below), whose sum is σ = 148632285765600. Its totient is φ = 64756431465984.

The previous prime is 100012100110009. The next prime is 100012100110183. The reversal of 100012100110011 is 110011001210001.

It is not a de Polignac number, because 100012100110011 - 21 = 100012100110009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100012100109975 and 100012100110002.

It is not an unprimeable number, because it can be changed into a prime (100012100110211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3926804185 + ... + 3926829653.

It is an arithmetic number, because the mean of its divisors is an integer number (3096505953450).

Almost surely, 2100012100110011 is an apocalyptic number.

100012100110011 is a deficient number, since it is larger than the sum of its proper divisors (48620185655589).

100012100110011 is a wasteful number, since it uses less digits than its factorization.

100012100110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46188 (or 46185 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100012100110011 its reverse (110011001210001), we get a palindrome (210023101320012).

The spelling of 100012100110011 in words is "one hundred trillion, twelve billion, one hundred million, one hundred ten thousand, eleven".

Divisors: 1 3 9 37 111 333 587 1761 5283 20089 21719 25469 60267 65157 76407 180801 195471 229221 743293 942353 2229879 2827059 6689637 8481177 11792243 14950303 35376729 44850909 106130187 134552727 436312991 511646741 553161211 1308938973 1534940223 1659483633 3926816919 4604820669 4978450899 18930929417 56792788251 170378364753 300336636967 901009910901 2703029732703 11112455567779 33337366703337 100012100110011