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1012110011100 = 2232527315405023
BaseRepresentation
bin11101011101001100111…
…01010010101011011100
310120202102200112201200200
432232212131102223130
5113040300130323400
62052542410023500
7133060013101566
oct16564635225334
93522380481620
101012110011100
11360262796531
121441a1717b90
137459816a796
1436db4900336
151b4d99b7b00
hexeba6752adc

1012110011100 has 108 divisors (see below), whose sum is σ = 3215860380096. Its totient is φ = 266198780160.

The previous prime is 1012110011083. The next prime is 1012110011111. The reversal of 1012110011100 is 11100112101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7636812 + ... + 7768211.

Almost surely, 21012110011100 is an apocalyptic number.

1012110011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012110011100 is an abundant number, since it is smaller than the sum of its proper divisors (2203750368996).

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

1012110011100 is a wasteful number, since it uses less digits than its factorization.

1012110011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15405116 (or 15405106 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1012110011100 its reverse (11100112101), we get a palindrome (1023210123201).

It can be divided in two parts, 101211001 and 1100, that added together give a palindrome (101212101).

The spelling of 1012110011100 in words is "one trillion, twelve billion, one hundred ten million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 146 150 180 219 225 292 300 365 438 450 657 730 876 900 1095 1314 1460 1825 2190 2628 3285 3650 4380 5475 6570 7300 10950 13140 16425 21900 32850 65700 15405023 30810046 46215069 61620092 77025115 92430138 138645207 154050230 184860276 231075345 277290414 308100460 385125575 462150690 554580828 693226035 770251150 924301380 1124566679 1155376725 1386452070 1540502300 2249133358 2310753450 2772904140 3373700037 3466130175 4498266716 4621506900 5622833395 6747400074 6932260350 10121100111 11245666790 13494800148 13864520700 16868500185 20242200222 22491333580 28114166975 33737000370 40484400444 50605500555 56228333950 67474000740 84342500925 101211001110 112456667900 168685001850 202422002220 253027502775 337370003700 506055005550 1012110011100