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10312302042 = 2327374153951
BaseRepresentation
bin10011001101010100…
…10011110111011010
3222121200102012222200
421212222103313122
5132104422131132
64423140231030
7513356056350
oct114652236732
928550365880
1010312302042
114412031179
121bb969b476
13c84604893
146db8197d0
154054ebd7c
hex266a93dda

10312302042 has 96 divisors (see below), whose sum is σ = 26865506304. Its totient is φ = 2796768000.

The previous prime is 10312302019. The next prime is 10312302043. The reversal of 10312302042 is 24020321301.

10312302042 is a `hidden beast` number, since 10 + 312 + 302 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10312302043) 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, 164167 + ... + 218117.

It is an arithmetic number, because the mean of its divisors is an integer number (279849024).

Almost surely, 210312302042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312302042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13432753152).

10312302042 is an abundant number, since it is smaller than the sum of its proper divisors (16553204262).

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

10312302042 is a wasteful number, since it uses less digits than its factorization.

10312302042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54044 (or 54041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10312302042 its reverse (24020321301), we get a palindrome (34332623343).

The spelling of 10312302042 in words is "ten billion, three hundred twelve million, three hundred two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 41 42 63 74 82 111 123 126 222 246 259 287 333 369 518 574 666 738 777 861 1517 1554 1722 2331 2583 3034 4551 4662 5166 9102 10619 13653 21238 27306 31857 53951 63714 95571 107902 161853 191142 323706 377657 485559 755314 971118 1132971 1996187 2211991 2265942 3398913 3992374 4423982 5988561 6635973 6797826 11977122 13271946 13973309 15483937 17965683 19907919 27946618 30967874 35931366 39815838 41919927 46451811 81843667 83839854 92903622 125759781 139355433 163687334 245531001 251519562 278710866 491062002 572905669 736593003 1145811338 1473186006 1718717007 3437434014 5156151021 10312302042