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10144226331 = 3219479312377
BaseRepresentation
bin10010111001010010…
…01001110000011011
3222011222011002110100
421130221021300123
5131233410220311
64354333550443
7506245333611
oct113451116033
928158132410
1010144226331
114336173428
121b71345423
13c588473b5
146c33876b1
153e589ba56
hex25ca49c1b

10144226331 has 24 divisors (see below), whose sum is σ = 15428434320. Its totient is φ = 6405025536.

The previous prime is 10144226329. The next prime is 10144226347. The reversal of 10144226331 is 13362244101.

It is a happy number.

10144226331 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 22 + 633 + 1 = 666.

10144226331 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144226331 - 21 = 10144226329 is a prime.

It is a super-2 number, since 2×101442263312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144226295 and 10144226304.

It is not an unprimeable number, because it can be changed into a prime (10144226371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813415 + ... + 825791.

It is an arithmetic number, because the mean of its divisors is an integer number (642851430).

Almost surely, 210144226331 is an apocalyptic number.

10144226331 is a deficient number, since it is larger than the sum of its proper divisors (5284207989).

10144226331 is a wasteful number, since it uses less digits than its factorization.

10144226331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17195 (or 17192 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10144226331 in words is "ten billion, one hundred forty-four million, two hundred twenty-six thousand, three hundred thirty-one".

Divisors: 1 3 9 19 57 171 4793 12377 14379 37131 43137 91067 111393 235163 273201 705489 819603 2116467 59322961 177968883 533906649 1127136259 3381408777 10144226331