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100001010110000 = 245482112180391
BaseRepresentation
bin10110101111001101001100…
…101011110100111000110000
3111010002000002100000102201012
4112233031030223310320300
5101101404032042010000
6552403455124530052
730030556153011326
oct2657151453647060
9433060070012635
10100001010110000
112995521020582a
12b270a47b50928
1343a50934b2a7c
141a9a109031d16
15b863c82eb735
hex5af34caf4e30

100001010110000 has 100 divisors (see below), whose sum is σ = 242407364925264. Its totient is φ = 39951679200000.

The previous prime is 100001010109867. The next prime is 100001010110039. The reversal of 100001010110000 is 11010100001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2119805 + ... + 14300195.

Almost surely, 2100001010110000 is an apocalyptic number.

100001010110000 is a gapful number since it is divisible by the number (10) 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 100001010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121203682462632).

100001010110000 is an abundant number, since it is smaller than the sum of its proper divisors (142406354815264).

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

100001010110000 is an equidigital number, since it uses as much as digits as its factorization.

100001010110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12181240 (or 12181219 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100001010110000 its reverse (11010100001), we get a palindrome (100012020210001).

Subtracting from 100001010110000 its reverse (11010100001), we obtain a palindrome (99990000009999).

The spelling of 100001010110000 in words is "one hundred trillion, one billion, ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 821 1000 1250 1642 2000 2500 3284 4105 5000 6568 8210 10000 13136 16420 20525 32840 41050 65680 82100 102625 164200 205250 328400 410500 513125 821000 1026250 1642000 2052500 4105000 8210000 12180391 24360782 48721564 60901955 97443128 121803910 194886256 243607820 304509775 487215640 609019550 974431280 1218039100 1522548875 2436078200 3045097750 4872156400 6090195500 7612744375 10000101011 12180391000 15225488750 20000202022 24360782000 30450977500 40000404044 50000505055 60901955000 80000808088 100001010110 121803910000 160001616176 200002020220 250002525275 400004040440 500005050550 800008080880 1000010101100 1250012626375 2000020202200 2500025252750 4000040404400 5000050505500 6250063131875 10000101011000 12500126263750 20000202022000 25000252527500 50000505055000 100001010110000