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10354321304032 = 252322921092011
BaseRepresentation
bin1001011010101100110110…
…1001001010100111100000
31100122212022110021102220211
42112223031221022213200
52324121122223212112
634004413132143504
72116034506625506
oct226531551124740
940585273242824
1010354321304032
113332274492012
1211b28a1307b94
135a1540095184
1427b21a872676
1512e5165380a7
hex96acda4a9e0

10354321304032 has 72 divisors (see below), whose sum is σ = 22044738182040. Its totient is φ = 4781305562880.

The previous prime is 10354321303969. The next prime is 10354321304051. The reversal of 10354321304032 is 23040312345301.

It is a happy number.

It is a super-3 number, since 3×103543213040323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10354321303985 and 10354321304003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10055094 + ... + 11036917.

It is an arithmetic number, because the mean of its divisors is an integer number (306176919195).

Almost surely, 210354321304032 is an apocalyptic number.

It is an amenable number.

10354321304032 is an abundant number, since it is smaller than the sum of its proper divisors (11690416878008).

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

10354321304032 is a wasteful number, since it uses less digits than its factorization.

10354321304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21092096 (or 21092065 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 10354321304032 its reverse (23040312345301), we get a palindrome (33394633649333).

The spelling of 10354321304032 in words is "ten trillion, three hundred fifty-four billion, three hundred twenty-one million, three hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 184 232 368 464 529 667 736 928 1058 1334 2116 2668 4232 5336 8464 10672 15341 16928 21344 30682 61364 122728 245456 490912 21092011 42184022 84368044 168736088 337472176 485116253 611668319 674944352 970232506 1223336638 1940465012 2446673276 3880930024 4893346552 7761860048 9786693104 11157673819 14068371337 15523720096 19573386208 22315347638 28136742674 44630695276 56273485348 89261390552 112546970696 178522781104 225093941392 323572540751 357045562208 450187882784 647145081502 1294290163004 2588580326008 5177160652016 10354321304032