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1000001110000 = 2454467214133
BaseRepresentation
bin11101000110101001011…
…01011111111111110000
310112121011210111211010011
432203110231133333300
5112341000241010000
62043221050144304
7132150650121124
oct16432455377760
93477153454104
101000001110000
11356109613952
12141982422094
13733b8596b49
1436586655584
151b02b8d52ba
hexe8d4b5fff0

1000001110000 has 100 divisors (see below), whose sum is σ = 2426298392232. Its totient is φ = 399142048000.

The previous prime is 1000001109979. The next prime is 1000001110027. The reversal of 1000001110000 is 111000001.

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 (4).

It is a congruent number.

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, 4562934 + ... + 4777066.

Almost surely, 21000001110000 is an apocalyptic number.

1000001110000 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 1000001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213149196116).

1000001110000 is an abundant number, since it is smaller than the sum of its proper divisors (1426297282232).

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

1000001110000 is an equidigital number, since it uses as much as digits as its factorization.

1000001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214628 (or 214607 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1000001110000 its reverse (111000001), we get a palindrome (1000112110001).

It can be divided in two parts, 100000 and 1110000, that added together give a square (1210000 = 11002).

The spelling of 1000001110000 in words is "one trillion, one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 467 500 625 934 1000 1250 1868 2000 2335 2500 3736 4670 5000 7472 9340 10000 11675 18680 23350 37360 46700 58375 93400 116750 186800 214133 233500 291875 428266 467000 583750 856532 934000 1070665 1167500 1713064 2141330 2335000 3426128 4282660 4670000 5353325 8565320 10706650 17130640 21413300 26766625 42826600 53533250 85653200 100000111 107066500 133833125 200000222 214133000 267666250 400000444 428266000 500000555 535332500 800000888 1000001110 1070665000 1600001776 2000002220 2141330000 2500002775 4000004440 5000005550 8000008880 10000011100 12500013875 20000022200 25000027750 40000044400 50000055500 62500069375 100000111000 125000138750 200000222000 250000277500 500000555000 1000001110000