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10354302530121 = 31119236831051247
BaseRepresentation
bin1001011010101100110010…
…0001100011001001001001
31100122212021010221121221210
42112223030201203021021
52324121102421430441
634004411221523333
72116034161224204
oct226531441431111
940585233847853
1010354302530121
113332264929990
1211b2896b73549
135a1539220b54
1427b21818693b
1512e514a7a616
hex96acc863249

10354302530121 has 64 divisors (see below), whose sum is σ = 16566995681280. Its totient is φ = 5678242194240.

The previous prime is 10354302530107. The next prime is 10354302530177. The reversal of 10354302530121 is 12103520345301.

It is not a de Polignac number, because 10354302530121 - 27 = 10354302529993 is a prime.

It is a super-3 number, since 3×103543025301213 (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 (10354302530521) 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, 9323920 + ... + 10375166.

It is an arithmetic number, because the mean of its divisors is an integer number (258859307520).

Almost surely, 210354302530121 is an apocalyptic number.

10354302530121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10354302530121 is a deficient number, since it is larger than the sum of its proper divisors (6212693151159).

10354302530121 is a wasteful number, since it uses less digits than its factorization.

10354302530121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051986.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10354302530121 its reverse (12103520345301), we get a palindrome (22457822875422).

The spelling of 10354302530121 in words is "ten trillion, three hundred fifty-four billion, three hundred two million, five hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 11 19 23 33 57 69 209 253 437 627 683 759 1311 2049 4807 7513 12977 14421 15709 22539 38931 47127 142747 172799 298471 428241 518397 895413 1051247 3153741 3283181 9849543 11563717 19973693 24178681 34691151 59921079 72536043 219710623 265965491 459394939 659131869 718001701 797896473 1378184817 2154005103 5053344329 7898018711 13642032319 15160032987 16514039123 23694056133 40926096957 49542117369 150062355509 181654430353 313766743337 450187066527 544963291059 941300230011 3451434176707 10354302530121