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10034004354110 = 25113153191290677
BaseRepresentation
bin1001001000000011100101…
…0000111110010000111110
31022112020112000102102100222
42102000321100332100332
52303344120103312420
633201320304221342
72053634660523032
oct222007120762076
938466460372328
1010034004354110
113219440965610
1211607a790a852
1357a283007b09
142699113021c2
1512601a3a2225
hex9203943e43e

10034004354110 has 128 divisors (see below), whose sum is σ = 20831036571648. Its totient is φ = 3446254656000.

The previous prime is 10034004354107. The next prime is 10034004354119. The reversal of 10034004354110 is 1145340043001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10034004354110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034004354119) 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 63 ways as a sum of consecutive naturals, for example, 34374092 + ... + 34664768.

It is an arithmetic number, because the mean of its divisors is an integer number (162742473216).

Almost surely, 210034004354110 is an apocalyptic number.

10034004354110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10034004354110 is an abundant number, since it is smaller than the sum of its proper divisors (10797032217538).

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

10034004354110 is a wasteful number, since it uses less digits than its factorization.

10034004354110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290970.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10034004354110 its reverse (1145340043001), we get a palindrome (11179344397111).

The spelling of 10034004354110 in words is "ten trillion, thirty-four billion, four million, three hundred fifty-four thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 31 53 55 62 106 110 155 191 265 310 341 382 530 583 682 955 1166 1643 1705 1910 2101 2915 3286 3410 4202 5830 5921 8215 10123 10505 11842 16430 18073 20246 21010 29605 36146 50615 59210 65131 90365 101230 111353 130262 180730 222706 290677 313813 325655 556765 581354 627626 651310 1113530 1453385 1569065 2906770 3138130 3197447 3451943 6394894 6903886 9010987 15405881 15987235 17259715 18021974 30811762 31974470 34519430 45054935 55519307 77029405 90109870 99120857 111038614 154058810 169464691 198241714 277596535 338929382 477582311 495604285 555193070 610712377 847323455 955164622 991208570 1221424754 1694646910 1721098517 2387911555 2942523271 3053561885 3442197034 4775823110 5253405421 5885046542 6107123770 8605492585 10506810842 14712616355 17210985170 18932083687 26267027105 29425232710 32367755981 37864167374 52534054210 64735511962 91218221401 94660418435 161838779905 182436442802 189320836870 323677559810 456091107005 912182214010 1003400435411 2006800870822 5017002177055 10034004354110