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1101221011000 = 235311100111001
BaseRepresentation
bin10000000001100101111…
…000110001111000111000
310220021102222121112221101
4100001211320301320320
5121020300034323000
62201521032021144
7142363166102245
oct20014570617070
93807388545841
101101221011000
113950306086a0
121595108317b4
137cac9a480a6
143b4297065cc
151d9a2c8be6a
hex10065e31e38

1101221011000 has 64 divisors (see below), whose sum is σ = 2811116936160. Its totient is φ = 400444000000.

The previous prime is 1101221010983. The next prime is 1101221011013. The reversal of 1101221011000 is 1101221011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 50044501 + ... + 50066500.

Almost surely, 21101221011000 is an apocalyptic number.

1101221011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101221011000 is an abundant number, since it is smaller than the sum of its proper divisors (1709895925160).

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

1101221011000 is a wasteful number, since it uses less digits than its factorization.

1101221011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111033 (or 100111019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1101221011000 its reverse (1101221011), we get a palindrome (1102322232011).

1101221011000 divided by its reverse (1101221011) gives a cube (1000 = 103).

It can be divided in two parts, 11012 and 21011000, that added together give a palindrome (21022012).

The spelling of 1101221011000 in words is "one trillion, one hundred one billion, two hundred twenty-one million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 100111001 200222002 400444004 500555005 800888008 1001110010 1101221011 2002220020 2202442022 2502775025 4004440040 4404884044 5005550050 5506105055 8809768088 10011100100 11012210110 12513875125 20022200200 22024420220 25027750250 27530525275 44048840440 50055500500 55061050550 100111001000 110122101100 137652626375 220244202200 275305252750 550610505500 1101221011000