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106031550633 = 3477921011193
BaseRepresentation
bin110001010111111111…
…0010001000010101001
3101010200112001212020220
41202233332101002221
53214123034110013
6120413224040253
710442363211141
oct1425776210251
9333615055226
10106031550633
1140a71056398
1218671903089
139cca2a4208
1451bc123921
152b58a05b23
hex18aff910a9

106031550633 has 48 divisors (see below), whose sum is σ = 147805814016. Its totient is φ = 67574956800.

The previous prime is 106031550623. The next prime is 106031550671. The reversal of 106031550633 is 336055130601.

It is not a de Polignac number, because 106031550633 - 28 = 106031550377 is a prime.

It is a super-2 number, since 2×1060315506332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106031550594 and 106031550603.

It is not an unprimeable number, because it can be changed into a prime (106031550623) 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 47 ways as a sum of consecutive naturals, for example, 88877485 + ... + 88878677.

It is an arithmetic number, because the mean of its divisors is an integer number (3079287792).

Almost surely, 2106031550633 is an apocalyptic number.

It is an amenable number.

106031550633 is a deficient number, since it is larger than the sum of its proper divisors (41774263383).

106031550633 is a wasteful number, since it uses less digits than its factorization.

106031550633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The spelling of 106031550633 in words is "one hundred six billion, thirty-one million, five hundred fifty thousand, six hundred thirty-three".

Divisors: 1 3 47 79 101 141 237 303 1193 3579 3713 4747 6241 7979 11139 14241 18723 23937 56071 94247 120493 168213 282741 293327 361479 375013 630341 879981 1125039 1891023 4429609 5663171 7445513 9518947 13288827 16989513 22336539 28556841 29626027 88878081 349939111 447390509 751996813 1049817333 1342171527 2255990439 35343850211 106031550633