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10214335152 = 2432710133269
BaseRepresentation
bin10011000001101001…
…00110001010110000
3222100212001222200100
421200310212022300
5131404332211102
64405320352400
7511056262530
oct114064461260
928325058610
1010214335152
1143717a91aa
121b90915700
13c6a2235c8
146cc7d74c0
153ebae9a1c
hex260d262b0

10214335152 has 60 divisors (see below), whose sum is σ = 32669662480. Its totient is φ = 2918381184.

The previous prime is 10214335151. The next prime is 10214335163. The reversal of 10214335152 is 25153341201.

10214335152 is a `hidden beast` number, since 1 + 0 + 2 + 143 + 3 + 515 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10214335151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5065627 + ... + 5067642.

Almost surely, 210214335152 is an apocalyptic number.

10214335152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10214335152 is an abundant number, since it is smaller than the sum of its proper divisors (22455327328).

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

10214335152 is a wasteful number, since it uses less digits than its factorization.

10214335152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133290 (or 10133281 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10214335152 its reverse (25153341201), we get a palindrome (35367676353).

The spelling of 10214335152 in words is "ten billion, two hundred fourteen million, three hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 10133269 20266538 30399807 40533076 60799614 70932883 81066152 91199421 121599228 141865766 162132304 182398842 212798649 243198456 283731532 364797684 425597298 486396912 567463064 638395947 729595368 851194596 1134926128 1276791894 1459190736 1702389192 2553583788 3404778384 5107167576 10214335152