Search a number
-
+
10001110110000 = 24354333370337
BaseRepresentation
bin1001000110001001000010…
…0111011000111100110000
31022102002121120002200110120
42101202100213120330300
52302324233142010000
633134240242330240
72051361555205512
oct221422047307460
938362546080416
1010001110110000
1132064a0a240a9
121156347659980
13577140138b49
142680b073dbb2
151252426246a0
hex918909d8f30

10001110110000 has 100 divisors (see below), whose sum is σ = 32284917013272. Its totient is φ = 2666962688000.

The previous prime is 10001110109999. The next prime is 10001110110031. The reversal of 10001110110000 is 1101110001.

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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 166655169 + ... + 166715168.

Almost surely, 210001110110000 is an apocalyptic number.

10001110110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001110110000 is an abundant number, since it is smaller than the sum of its proper divisors (22283806903272).

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

10001110110000 is an equidigital number, since it uses as much as digits as its factorization.

10001110110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333370368 (or 333370347 counting only the distinct ones).

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

Adding to 10001110110000 its reverse (1101110001), we get a palindrome (10002211220001).

The spelling of 10001110110000 in words is "ten trillion, one billion, one hundred ten million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 333370337 666740674 1000111011 1333481348 1666851685 2000222022 2666962696 3333703370 4000444044 5000555055 5333925392 6667406740 8000888088 8334258425 10001110110 13334813480 16001776176 16668516850 20002220220 25002775275 26669626960 33337033700 40004440440 41671292125 50005550550 66674067400 80008880880 83342584250 100011101100 125013876375 133348134800 166685168500 200022202200 208356460625 250027752750 333370337000 400044404400 416712921250 500055505500 625069381875 666740674000 833425842500 1000111011000 1250138763750 1666851685000 2000222022000 2500277527500 3333703370000 5000555055000 10001110110000