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10301311422 = 2322695693739
BaseRepresentation
bin10011001100000000…
…11000100110111110
3222120220201211200200
421212000120212332
5132044113431142
64422104504330
7513163462623
oct114600304676
928526654620
1010301311422
114406904816
121bb5a7b0a6
13c8225715c
146da19834a
1540457a64c
hex2660189be

10301311422 has 48 divisors (see below), whose sum is σ = 22447854000. Its totient is φ = 3414079872.

The previous prime is 10301311393. The next prime is 10301311429. The reversal of 10301311422 is 22411310301.

10301311422 is a `hidden beast` number, since 10 + 301 + 311 + 42 + 2 = 666.

It is a super-3 number, since 3×103013114223 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 10301311395 and 10301311404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301311429) 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, 2753229 + ... + 2756967.

It is an arithmetic number, because the mean of its divisors is an integer number (467663625).

Almost surely, 210301311422 is an apocalyptic number.

10301311422 is an abundant number, since it is smaller than the sum of its proper divisors (12146542578).

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

10301311422 is a wasteful number, since it uses less digits than its factorization.

10301311422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10301311422 its reverse (22411310301), we get a palindrome (32712621723).

The spelling of 10301311422 in words is "ten billion, three hundred one million, three hundred eleven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 269 538 569 807 1138 1614 1707 2421 3414 3739 4842 5121 7478 10242 11217 22434 33651 67302 153061 306122 459183 918366 1005791 1377549 2011582 2127491 2755098 3017373 4254982 6034746 6382473 9052119 12764946 18104238 19147419 38294838 572295079 1144590158 1716885237 3433770474 5150655711 10301311422