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100121230011 = 31123901114639
BaseRepresentation
bin101110100111110110…
…0001011101010111011
3100120102121202110120010
41131033230023222323
53120022013330021
6113554533233003
710143045261525
oct1351754135273
9316377673503
10100121230011
1139508907aa0
12174a2492763
13959797748a
144bbb1baa15
15290ebd4976
hex174fb0babb

100121230011 has 32 divisors (see below), whose sum is σ = 151989903360. Its totient is φ = 58030887200.

The previous prime is 100121229977. The next prime is 100121230043. The reversal of 100121230011 is 110032121001.

It is not a de Polignac number, because 100121230011 - 29 = 100121229499 is a prime.

It is a super-3 number, since 3×1001212300113 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100121230051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6832030 + ... + 6846668.

It is an arithmetic number, because the mean of its divisors is an integer number (4749684480).

Almost surely, 2100121230011 is an apocalyptic number.

100121230011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100121230011 is a deficient number, since it is larger than the sum of its proper divisors (51868673349).

100121230011 is a wasteful number, since it uses less digits than its factorization.

100121230011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23687.

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

Adding to 100121230011 its reverse (110032121001), we get a palindrome (210153351012).

The spelling of 100121230011 in words is "one hundred billion, one hundred twenty-one million, two hundred thirty thousand, eleven".

Divisors: 1 3 11 23 33 69 253 759 9011 14639 27033 43917 99121 161029 207253 297363 336697 483087 621759 1010091 2279783 3703667 6839349 11111001 131912029 395736087 1451032319 3033976667 4353096957 9101930001 33373743337 100121230011