Search a number
-
+
101627275254 = 2371491563863
BaseRepresentation
bin101111010100101110…
…1010010011111110110
3100201022120122111020120
41132221131102133312
53131113040302004
6114404213112410
710225263405141
oct1365135223766
9321276574216
10101627275254
113a110a4708a
1217842928706
1397779a51cb
144cc1215058
15299c0253d9
hex17a97527f6

101627275254 has 64 divisors (see below), whose sum is σ = 207143682048. Its totient is φ = 33232858400.

The previous prime is 101627275241. The next prime is 101627275307. The reversal of 101627275254 is 452572726101.

101627275254 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117760027 + ... + 117760889.

It is an arithmetic number, because the mean of its divisors is an integer number (3236620032).

Almost surely, 2101627275254 is an apocalyptic number.

101627275254 is an abundant number, since it is smaller than the sum of its proper divisors (105516406794).

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

101627275254 is a wasteful number, since it uses less digits than its factorization.

101627275254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993.

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 101627275254 in words is "one hundred one billion, six hundred twenty-seven million, two hundred seventy-five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 71 142 213 426 491 563 863 982 1126 1473 1689 1726 2589 2946 3378 5178 34861 39973 61273 69722 79946 104583 119919 122546 183819 209166 239838 276433 367638 423733 485869 552866 829299 847466 971738 1271199 1457607 1658598 2542398 2915214 19626743 30085043 34496699 39253486 58880229 60170086 68993398 90255129 103490097 117760458 180510258 206980194 238561679 477123358 715685037 1431370074 16937879209 33875758418 50813637627 101627275254