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1000110110000 = 2454112389057
BaseRepresentation
bin11101000110110110011…
…01010011010100110000
310112121110101121121000012
432203123031103110300
5112341211142010000
62043235542314052
7132153442446311
oct16433315232460
93477411547005
101000110110000
113561650a21a1
121419b2a28928
137340503bca1
1436596d0a608
151b036266735
hexe8db353530

1000110110000 has 100 divisors (see below), whose sum is σ = 2423549959512. Its totient is φ = 399683328000.

The previous prime is 1000110109991. The next prime is 1000110110023. The reversal of 1000110110000 is 110110001.

1000110110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11185472 + ... + 11274528.

Almost surely, 21000110110000 is an apocalyptic number.

1000110110000 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 1000110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211774979756).

1000110110000 is an abundant number, since it is smaller than the sum of its proper divisors (1423439849512).

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

1000110110000 is an equidigital number, since it uses as much as digits as its factorization.

1000110110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90208 (or 90187 counting only the distinct ones).

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

Adding to 1000110110000 its reverse (110110001), we get a palindrome (1000220220001).

Subtracting from 1000110110000 its reverse (110110001), we obtain a palindrome (999999999999).

The spelling of 1000110110000 in words is "one trillion, one hundred 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 1000 1123 1250 2000 2246 2500 4492 5000 5615 8984 10000 11230 17968 22460 28075 44920 56150 89057 89840 112300 140375 178114 224600 280750 356228 445285 449200 561500 701875 712456 890570 1123000 1403750 1424912 1781140 2226425 2246000 2807500 3562280 4452850 5615000 7124560 8905700 11132125 11230000 17811400 22264250 35622800 44528500 55660625 89057000 100011011 111321250 178114000 200022022 222642500 400044044 445285000 500055055 800088088 890570000 1000110110 1600176176 2000220220 2500275275 4000440440 5000550550 8000880880 10001101100 12501376375 20002202200 25002752750 40004404400 50005505500 62506881875 100011011000 125013763750 200022022000 250027527500 500055055000 1000110110000