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10211224224 = 253532006923
BaseRepresentation
bin10011000001010001…
…01110101010100000
3222100122012221021210
421200220232222200
5131403033133344
64405125550120
7511020655005
oct114050565240
928318187253
1010211224224
11436aa73993
121b8b875340
13c696a4616
146cc2278ac
153eb6d2db9
hex260a2eaa0

10211224224 has 48 divisors (see below), whose sum is σ = 27310221792. Its totient is φ = 3339518208.

The previous prime is 10211224217. The next prime is 10211224229. The reversal of 10211224224 is 42242211201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10211224224.

It is not an unprimeable number, because it can be changed into a prime (10211224229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998374 + ... + 1008549.

It is an arithmetic number, because the mean of its divisors is an integer number (568962954).

Almost surely, 210211224224 is an apocalyptic number.

It is an amenable number.

10211224224 is an abundant number, since it is smaller than the sum of its proper divisors (17098997568).

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

10211224224 is a wasteful number, since it uses less digits than its factorization.

10211224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006989 (or 2006981 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10211224224 its reverse (42242211201), we get a palindrome (52453435425).

The spelling of 10211224224 in words is "ten billion, two hundred eleven million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 2006923 4013846 6020769 8027692 12041538 16055384 24083076 32110768 48166152 64221536 96332304 106366919 192664608 212733838 319100757 425467676 638201514 850935352 1276403028 1701870704 2552806056 3403741408 5105612112 10211224224