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10653302365442 = 21121789101288077
BaseRepresentation
bin1001101100000110101001…
…0011011001110100000010
31101201110000221220000200122
42123001222103121310002
52344020430401143232
634354020510020242
72146450523001542
oct233015223316402
941643027800618
1010653302365442
1134380494aa700
1212408214a7682
135c37a9a85629
1428b8a0537322
151371b4524312
hex9b06a4d9d02

10653302365442 has 96 divisors (see below), whose sum is σ = 18993201479280. Its totient is φ = 4461721088000.

The previous prime is 10653302365327. The next prime is 10653302365457. The reversal of 10653302365442 is 24456320335601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8571714207001 + 2081588158441 = 2927749^2 + 1442771^2 .

It is a super-2 number, since 2×106533023654422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10653302365393 and 10653302365402.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36836708 + ... + 37124784.

Almost surely, 210653302365442 is an apocalyptic number.

10653302365442 is a deficient number, since it is larger than the sum of its proper divisors (8339899113838).

10653302365442 is a wasteful number, since it uses less digits than its factorization.

10653302365442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288308 (or 288297 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 10653302365442 in words is "ten trillion, six hundred fifty-three billion, three hundred two million, three hundred sixty-five thousand, four hundred forty-two".

Divisors: 1 2 11 17 22 34 89 101 121 178 187 202 242 374 979 1111 1513 1717 1958 2057 2222 3026 3434 4114 8989 10769 12221 16643 17978 18887 21538 24442 33286 37774 98879 152813 183073 197758 207757 288077 305626 366146 415514 576154 1087669 1680943 2175338 3168847 3361886 4897309 6337694 9794618 18490373 25638853 29095777 34857317 36980746 51277706 53870399 58191554 69714634 107740798 282027383 320053547 435860501 494628209 564054766 592574389 640107094 871721002 989256418 1185148778 2589524153 3102301213 3520589017 4794465511 5179048306 5440910299 6204602426 7041178034 9588931022 10881820598 28484765683 44021910601 52739120621 56969531366 59850013289 88043821202 105478241242 119700026578 313332422513 484241016611 626664845026 968482033222 5326651182721 10653302365442