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10213030442133 = 3219210427301471
BaseRepresentation
bin1001010010011110100000…
…0011010011010010010101
31100011100121122120222112200
42110213220003103102111
52314312241243122013
633415445034435113
72102603262255441
oct224475003232225
940140548528480
1010213030442133
11328835a482262
12118b42b292a99
13591113c4768c
14274455a21821
1512a9e732de73
hex949e80d3495

10213030442133 has 36 divisors (see below), whose sum is σ = 15570993829248. Its totient is φ = 6449695003440.

The previous prime is 10213030442129. The next prime is 10213030442227. The reversal of 10213030442133 is 33124403031201.

It is a happy number.

10213030442133 is a `hidden beast` number, since 1 + 0 + 213 + 0 + 3 + 0 + 442 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 10213030442133 - 22 = 10213030442129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10213030442097 and 10213030442106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213030442233) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 33726588 + ... + 34028058.

It is an arithmetic number, because the mean of its divisors is an integer number (432527606368).

Almost surely, 210213030442133 is an apocalyptic number.

It is an amenable number.

10213030442133 is a deficient number, since it is larger than the sum of its proper divisors (5357963387115).

10213030442133 is a wasteful number, since it uses less digits than its factorization.

10213030442133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311942 (or 311920 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10213030442133 its reverse (33124403031201), we get a palindrome (43337433473334).

The spelling of 10213030442133 in words is "ten trillion, two hundred thirteen billion, thirty million, four hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 19 57 171 361 1083 3249 10427 31281 93843 198113 301471 594339 904413 1783017 2713239 3764147 5727949 11292441 17183847 33877323 51551541 108831031 326493093 979479279 3143438117 9430314351 28290943053 59725324223 179175972669 537527918007 1134781160237 3404343480711 10213030442133