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2011201111224 = 2332296121157363
BaseRepresentation
bin11101010001000100111…
…011011000010010111000
321010021021001201020221100
4131101010323120102320
5230422414441024344
64135533311411400
7265206303244014
oct35210473302270
97107231636840
102011201111224
11705a446604a8
1228594b223b60
1311786a044a36
146d4b2351544
15374b1545569
hex1d444ed84b8

2011201111224 has 96 divisors (see below), whose sum is σ = 5635787086800. Its totient is φ = 647173255680.

The previous prime is 2011201111151. The next prime is 2011201111261. The reversal of 2011201111224 is 4221111021102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011201111197 and 2011201111206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12701967 + ... + 12859329.

Almost surely, 22011201111224 is an apocalyptic number.

2011201111224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011201111224 is an abundant number, since it is smaller than the sum of its proper divisors (3624585975576).

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

2011201111224 is a wasteful number, since it uses less digits than its factorization.

2011201111224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163525 (or 163518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2011201111224 its reverse (4221111021102), we get a palindrome (6232312132326).

The spelling of 2011201111224 in words is "two trillion, eleven billion, two hundred one million, one hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 6121 12242 18363 24484 36726 48968 55089 73452 110178 146904 157363 177509 220356 314726 355018 440712 472089 532527 629452 710036 944178 1065054 1258904 1416267 1420072 1597581 1888356 2130108 2832534 3195162 3776712 4260216 4563527 5665068 6390324 9127054 11330136 12780648 13690581 18254108 27381162 36508216 41071743 54762324 82143486 109524648 164286972 328573944 963218923 1926437846 2889656769 3852875692 5779313538 7705751384 8668970307 11558627076 17337940614 23117254152 27933348767 34675881228 55866697534 69351762456 83800046301 111733395068 167600092602 223466790136 251400138903 335200185204 502800277806 670400370408 1005600555612 2011201111224