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1101010001000 = 235371312099011
BaseRepresentation
bin10000000001011001010…
…011110101110001101000
310220020220021120010122012
4100001121103311301220
5121014332030013000
62201444053215052
7142355024410610
oct20013123656150
93806807503565
101101010001000
11394a32495768
12159472031488
137ca951075c0
143b409699a40
151d98e4aa735
hex100594f5c68

1101010001000 has 128 divisors (see below), whose sum is σ = 3170909064960. Its totient is φ = 348451488000.

The previous prime is 1101010000939. The next prime is 1101010001011. The reversal of 1101010001000 is 1000101011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5958506 + ... + 6140505.

It is an arithmetic number, because the mean of its divisors is an integer number (24772727070).

Almost surely, 21101010001000 is an apocalyptic number.

1101010001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101010001000 is an abundant number, since it is smaller than the sum of its proper divisors (2069899063960).

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

1101010001000 is a wasteful number, since it uses less digits than its factorization.

1101010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099052 (or 12099038 counting only the distinct ones).

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

Adding to 1101010001000 its reverse (1000101011), we get a palindrome (1102010102011).

The spelling of 1101010001000 in words is "one trillion, one hundred one billion, ten million, one thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 12099011 24198022 48396044 60495055 84693077 96792088 120990110 157287143 169386154 241980220 302475275 314574286 338772308 423465385 483960440 604950550 629148572 677544616 786435715 846930770 1101010001 1209901100 1258297144 1512376375 1572871430 1693861540 2117326925 2202020002 2419802200 3024752750 3145742860 3387723080 3932178575 4234653850 4404040004 5505050005 6049505500 6291485720 7864357150 8469307700 8808080008 10586634625 11010100010 12099011000 15728714300 16938615400 19660892875 21173269250 22020200020 27525250025 31457428600 39321785750 42346538500 44040400040 55050500050 78643571500 84693077000 110101000100 137626250125 157287143000 220202000200 275252500250 550505000500 1101010001000