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103434111310442 = 21126783131586711
BaseRepresentation
bin10111100001001010100001…
…011101100101101001101010
3111120020012112001121021202212
4113201022201131211221222
5102024131024443413232
61003552550314125122
730533603462513123
oct2741124135455152
9446205461537685
10103434111310442
112aa59184349700
12b7262827207a2
134593a44371633
141b7834836304a
15be585a446eb2
hex5e12a1765a6a

103434111310442 has 96 divisors (see below), whose sum is σ = 176506212782592. Its totient is φ = 45406425636000.

The previous prime is 103434111310429. The next prime is 103434111310469. The reversal of 103434111310442 is 244013111434301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103434111310399 and 103434111310408.

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 47 ways as a sum of consecutive naturals, for example, 176001467 + ... + 176588177.

It is an arithmetic number, because the mean of its divisors is an integer number (1838606383152).

Almost surely, 2103434111310442 is an apocalyptic number.

103434111310442 is a deficient number, since it is larger than the sum of its proper divisors (73072101472150).

103434111310442 is a wasteful number, since it uses less digits than its factorization.

103434111310442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587016 (or 587005 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 103434111310442 its reverse (244013111434301), we get a palindrome (347447222744743).

The spelling of 103434111310442 in words is "one hundred three trillion, four hundred thirty-four billion, one hundred eleven million, three hundred ten thousand, four hundred forty-two".

Divisors: 1 2 11 22 67 83 121 131 134 166 242 262 737 913 1441 1474 1826 2882 5561 8107 8777 10043 10873 11122 15851 16214 17554 20086 21746 31702 61171 96547 119603 122342 193094 239206 586711 672881 728491 1062017 1173422 1315633 1345762 1456982 2124034 2631266 6453821 8013401 12907642 16026802 39309637 48697013 70992031 76859141 78619274 88147411 97394026 141984062 153718282 176294822 432406007 535667143 845450551 864812014 1071334286 1690901102 3262699871 4756466077 5149562447 5892338573 6379308703 6525399742 9299956061 9512932154 10299124894 11784677146 12758617406 18599912122 35889698581 56645186917 70172395733 71779397162 113290373834 140344791466 394786684391 427413683101 623097056087 771896353063 789573368782 854827366202 1246194112174 1543792706126 4701550514111 9403101028222 51717055655221 103434111310442