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10001110110002 = 2112174218636691
BaseRepresentation
bin1001000110001001000010…
…0111011000111100110010
31022102002121120002200110122
42101202100213120330302
52302324233142010002
633134240242330242
72051361555205514
oct221422047307462
938362546080418
1010001110110002
1132064a0a24100
121156347659982
13577140138b4b
142680b073dbb4
151252426246a2
hex918909d8f32

10001110110002 has 96 divisors (see below), whose sum is σ = 17523769277952. Its totient is φ = 4262803776000.

The previous prime is 10001110109999. The next prime is 10001110110031. The reversal of 10001110110002 is 20001101110001.

It is a happy number.

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, 1494707477 + ... + 1494714167.

It is an arithmetic number, because the mean of its divisors is an integer number (182539263312).

Almost surely, 210001110110002 is an apocalyptic number.

10001110110002 is a deficient number, since it is larger than the sum of its proper divisors (7522659167950).

10001110110002 is a wasteful number, since it uses less digits than its factorization.

10001110110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001110110002 its reverse (20001101110001), we get a palindrome (30002211220003).

Subtracting 10001110110002 from its reverse (20001101110001), we obtain a palindrome (9999990999999).

The spelling of 10001110110002 in words is "ten trillion, one billion, one hundred ten million, one hundred ten thousand, two".

Divisors: 1 2 11 17 22 34 121 187 242 374 421 842 863 1726 2057 4114 4631 6691 7157 9262 9493 13382 14314 14671 18986 29342 50941 73601 78727 101882 104423 113747 147202 157454 161381 208846 227494 322762 363323 726646 809611 865997 1251217 1619222 1731994 1775191 2502434 2816911 3550382 3996553 5633822 5774333 6176491 7993106 11548666 12352982 13763387 27526774 30986021 43962083 47887487 61972042 63517663 67941401 87924166 95774974 98163661 127035326 135882802 196327322 340846231 526762357 681692462 698694293 747355411 1053524714 1079800271 1397388586 1494710822 2159600542 2430994193 4861988386 5794385927 11588771854 11877802981 23755605962 26740936123 41326901281 53481872246 82653802562 294150297353 454595914091 588300594706 909191828182 5000555055001 10001110110002