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35313410106 = 23413172394127
BaseRepresentation
bin100000111000110101…
…111110000000111010
310101011001102002210000
4200320311332000322
51034310213110411
624120040533430
72360046014262
oct407065760072
9111131362700
1035313410106
1113a81554757
126a16481276
13343a138550
1419cddb07a2
15dba33c956
hex838d7e03a

35313410106 has 160 divisors (see below), whose sum is σ = 90627102720. Its totient is φ = 10181251584.

The previous prime is 35313410087. The next prime is 35313410131. The reversal of 35313410106 is 60101431353.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 35313410106.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 8554615 + ... + 8558741.

It is an arithmetic number, because the mean of its divisors is an integer number (566419392).

Almost surely, 235313410106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35313410106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45313551360).

35313410106 is an abundant number, since it is smaller than the sum of its proper divisors (55313692614).

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

35313410106 is a wasteful number, since it uses less digits than its factorization.

35313410106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 35313410106 its reverse (60101431353), we get a palindrome (95414841459).

The spelling of 35313410106 in words is "thirty-five billion, three hundred thirteen million, four hundred ten thousand, one hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 239 306 351 442 459 478 663 702 717 918 1053 1326 1377 1434 1989 2106 2151 2754 3107 3978 4063 4127 4302 5967 6214 6453 8126 8254 9321 11934 12189 12381 12906 17901 18642 19359 24378 24762 27963 35802 36567 37143 38718 52819 53651 55926 70159 73134 74286 83889 105638 107302 109701 111429 140318 158457 160953 167778 210477 219402 222858 251667 316914 321906 329103 334287 420954 475371 482859 503334 631431 658206 668574 912067 950742 965718 986353 1262862 1426113 1448577 1824134 1894293 1972706 2736201 2852226 2897154 2959059 3788586 4278339 4345731 5472402 5682879 5918118 8208603 8556678 8691462 8877177 11365758 12822589 16417206 16768001 17754354 24625809 25645178 26631531 33536002 38467767 49251618 50304003 53263062 73877427 76935534 79894593 100608006 115403301 147754854 150912009 159789186 217984013 230806602 301824018 346209903 435968026 452736027 653952039 692419806 905472054 1038629709 1307904078 1358208081 1961856117 2077259418 2716416162 3923712234 5885568351 11771136702 17656705053 35313410106