Search a number
-
+
102032343303114 = 237171131264623377
BaseRepresentation
bin10111001100110001000001…
…100101000000001111001010
3111101021012022102210102012010
4113030301001211000033022
5101333144214341144424
61001001002245000350
730330410404163550
oct2714610145001712
9441235272712163
10102032343303114
112a5687458a9334
12b53a6753b30b6
1344c17bb3996a3
141b2a56b00bbd0
15bbe166e9d229
hex5ccc419403ca

102032343303114 has 64 divisors (see below), whose sum is σ = 249120688478976. Its totient is φ = 27194461077504.

The previous prime is 102032343303109. The next prime is 102032343303119. The reversal of 102032343303114 is 411303343230201.

It is an interprime number because it is at equal distance from previous prime (102032343303109) and next prime (102032343303119).

It is not an unprimeable number, because it can be changed into a prime (102032343303119) 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 31 ways as a sum of consecutive naturals, for example, 632231007 + ... + 632392370.

It is an arithmetic number, because the mean of its divisors is an integer number (3892510757484).

Almost surely, 2102032343303114 is an apocalyptic number.

102032343303114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102032343303114 is an abundant number, since it is smaller than the sum of its proper divisors (147088345175862).

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

102032343303114 is a wasteful number, since it uses less digits than its factorization.

102032343303114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264623519.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 102032343303114 its reverse (411303343230201), we get a palindrome (513335686533315).

The spelling of 102032343303114 in words is "one hundred two trillion, thirty-two billion, three hundred forty-three million, three hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 113 119 226 238 339 357 678 714 791 1582 1921 2373 3842 4746 5763 11526 13447 26894 40341 80682 1264623377 2529246754 3793870131 7587740262 8852363639 17704727278 21498597409 26557090917 42997194818 53114181834 64495792227 128991584454 142902441601 150490181863 285804883202 300980363726 428707324803 451470545589 857414649606 902941091178 1000317091207 2000634182414 2429341507217 3000951273621 4858683014434 6001902547242 7288024521651 14576049043302 17005390550519 34010781101038 51016171651557 102032343303114