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100011110000001 = 319371011090343063
BaseRepresentation
bin10110101111010110100110…
…101011110110010110000001
3111010002222011012202000011020
4112233112212223312112001
5101102040223130000001
6552412245240340053
730031364352446634
oct2657264653662601
9433088135660136
10100011110000001
1129959523346662
12b2729a6474629
1343a6012aa5945
141a9a7c6557c1b
15b867b9d3b736
hex5af5a6af6581

100011110000001 has 64 divisors (see below), whose sum is σ = 145604220948480. Its totient is φ = 60842265350400.

The previous prime is 100011109999777. The next prime is 100011110000003. The reversal of 100011110000001 is 100000011110001.

It is not a de Polignac number, because 100011110000001 - 210 = 100011109998977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100011110000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2322415596 + ... + 2322458658.

It is an arithmetic number, because the mean of its divisors is an integer number (2275065952320).

Almost surely, 2100011110000001 is an apocalyptic number.

It is an amenable number.

100011110000001 is a deficient number, since it is larger than the sum of its proper divisors (45593110948479).

100011110000001 is a wasteful number, since it uses less digits than its factorization.

100011110000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54126.

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

Adding to 100011110000001 its reverse (100000011110001), we get a palindrome (200011121110002).

The spelling of 100011110000001 in words is "one hundred trillion, eleven billion, one hundred ten million, one", and thus it is an aban number.

Divisors: 1 3 19 37 57 101 111 303 703 1919 2109 3737 5757 10903 11211 32709 43063 71003 129189 207157 213009 403411 621471 818197 1101203 1210233 1593331 2454591 3303609 4349363 4779993 7664809 13048089 20922857 22994427 30273289 40744511 62768571 82637897 90819867 122233533 160926431 247913691 469515889 482779293 774145709 1408547667 2322437127 3057602189 8920801891 9172806567 17372087893 26762405673 47421104789 52116263679 142263314367 330069669967 901000990991 990209009901 1754580877193 2703002972973 5263742631579 33337036666667 100011110000001