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422310242133 = 3513177863811
BaseRepresentation
bin1100010010100111010…
…01101110011101010101
31111101001112020002200000
412021103221232131111
523404342410222013
6522001234041513
742340145554503
oct6112351563525
91441045202600
10422310242133
1115311213853a
1269a1aa19299
1330a92835c50
1416623221673
15aeba3aa973
hex6253a6e755

422310242133 has 48 divisors (see below), whose sum is σ = 721331747136. Its totient is φ = 244595946240.

The previous prime is 422310242113. The next prime is 422310242143. The reversal of 422310242133 is 331242013224.

422310242133 is a `hidden beast` number, since 4 + 2 + 231 + 0 + 2 + 421 + 3 + 3 = 666.

It is not a de Polignac number, because 422310242133 - 213 = 422310233941 is a prime.

It is a super-2 number, since 2×4223102421332 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 422310242097 and 422310242106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422310242113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3878203 + ... + 3985608.

It is an arithmetic number, because the mean of its divisors is an integer number (15027744732).

Almost surely, 2422310242133 is an apocalyptic number.

It is an amenable number.

422310242133 is a deficient number, since it is larger than the sum of its proper divisors (299021505003).

422310242133 is a wasteful number, since it uses less digits than its factorization.

422310242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863856 (or 7863844 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 422310242133 its reverse (331242013224), we get a palindrome (753552255357).

The spelling of 422310242133 in words is "four hundred twenty-two billion, three hundred ten million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 243 351 459 663 1053 1377 1989 3159 4131 5967 17901 53703 7863811 23591433 70774299 102229543 133684787 212322897 306688629 401054361 636968691 920065887 1203163083 1737902231 1910906073 2760197661 3609489249 5213706693 8280592983 10828467747 15641120079 24841778949 32485403241 46923360237 140770080711 422310242133