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10354324301145 = 3351143129575471
BaseRepresentation
bin1001011010101100110111…
…0100100110010101011001
31100122212022122220201012000
42112223031310212111121
52324121124010114040
634004413320311213
72116034544250446
oct226531564462531
940585278821160
1010354324301145
113332276149870
1211b28a2312509
135a15408a4406
1427b21b0129cd
1512e51692b130
hex96acdd26559

10354324301145 has 128 divisors (see below), whose sum is σ = 20138192732160. Its totient is φ = 5006021472000.

The previous prime is 10354324301117. The next prime is 10354324301149. The reversal of 10354324301145 is 54110342345301.

10354324301145 is a `hidden beast` number, since 1 + 0 + 3 + 54 + 32 + 430 + 1 + 145 = 666.

It is not a de Polignac number, because 10354324301145 - 27 = 10354324301017 is a prime.

It is a super-3 number, since 3×103543243011453 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10354324301149) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1892580760 + ... + 1892586230.

It is an arithmetic number, because the mean of its divisors is an integer number (157329630720).

Almost surely, 210354324301145 is an apocalyptic number.

10354324301145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10354324301145 is a deficient number, since it is larger than the sum of its proper divisors (9783868431015).

10354324301145 is a wasteful number, since it uses less digits than its factorization.

10354324301145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8884 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10354324301145 its reverse (54110342345301), we get a palindrome (64464666646446).

The spelling of 10354324301145 in words is "ten trillion, three hundred fifty-four billion, three hundred twenty-four million, three hundred one thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 431 495 1293 1485 2155 2957 3879 4741 5471 6465 8871 11637 14223 14785 16413 19395 23705 26613 27355 32527 42669 44355 49239 58185 60181 71115 79839 82065 97581 128007 133065 147717 162635 180543 213345 246195 292743 300905 399195 487905 541629 640035 738585 878229 902715 1274467 1463715 1624887 2358001 2708145 3823401 4391145 6372335 7074003 8124435 11470203 11790005 14019137 16177747 19117005 21222009 25938011 34410609 35370015 42057411 48533241 57351015 63666027 70095685 77814033 80888735 106110045 126172233 129690055 145599723 172053045 177955217 210287055 233442099 242666205 318330135 378516699 389070165 436799169 533865651 630861165 700326297 727998615 889776085 1167210495 1601596953 1892583495 2183995845 2669328255 3501631485 4804790859 6972608957 8007984765 20917826871 24023954295 34863044785 62753480613 76698698527 104589134355 188260441839 230096095581 313767403065 383493492635 690288286743 941302209195 1150480477905 2070864860229 3451441433715 10354324301145