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102034312341 = 31317302350909
BaseRepresentation
bin101111100000110111…
…0000000110010010101
3100202100221120010011020
41133001232000302111
53132431240443331
6114512433231353
710241335226163
oct1370156006225
9322327503136
10102034312341
113a2aa789075
1217937102559
13981110b860
144d1d2cc233
1529c2b28c96
hex17c1b80c95

102034312341 has 32 divisors (see below), whose sum is σ = 155183454720. Its totient is φ = 59076086784.

The previous prime is 102034312337. The next prime is 102034312343. The reversal of 102034312341 is 143213430201.

It is a happy number.

It is not a de Polignac number, because 102034312341 - 22 = 102034312337 is a prime.

It is a super-2 number, since 2×1020343123412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102034312343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1978795 + ... + 2029703.

It is an arithmetic number, because the mean of its divisors is an integer number (4849482960).

Almost surely, 2102034312341 is an apocalyptic number.

It is an amenable number.

102034312341 is a deficient number, since it is larger than the sum of its proper divisors (53149142379).

102034312341 is a wasteful number, since it uses less digits than its factorization.

102034312341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53965.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102034312341 its reverse (143213430201), we get a palindrome (245247742542).

The spelling of 102034312341 in words is "one hundred two billion, thirty-four million, three hundred twelve thousand, three hundred forty-one".

Divisors: 1 3 13 17 39 51 221 663 3023 9069 39299 50909 51391 117897 152727 154173 661817 668083 865453 1985451 2004249 2596359 11250889 33752667 153897907 461693721 2000672791 2616264419 6002018373 7848793257 34011437447 102034312341