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121101003031104 = 2632373563658973
BaseRepresentation
bin11011100010010000000110…
…010001001000001001000000
3120212210010212010020001200100
4123202100012101020021000
5111333104323233443404
61105321011024522400
734336154514425505
oct3342200621101100
9525703763201610
10121101003031104
113564a713129328
12116ba228a80400
135275a10c63975
1421c94698334ac
15e001ad1d5d39
hex6e2406448240

121101003031104 has 84 divisors (see below), whose sum is σ = 348044761311676. Its totient is φ = 40258778416128.

The previous prime is 121101003031069. The next prime is 121101003031111. The reversal of 121101003031104 is 401130300101121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81682696471104 + 39418306560000 = 9037848^2 + 6278400^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 281614639 + ... + 282044334.

Almost surely, 2121101003031104 is an apocalyptic number.

It is an amenable number.

121101003031104 is an abundant number, since it is smaller than the sum of its proper divisors (226943758280572).

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

121101003031104 is a wasteful number, since it uses less digits than its factorization.

121101003031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563659364 (or 563659351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121101003031104 its reverse (401130300101121), we get a palindrome (522231303132225).

The spelling of 121101003031104 in words is "one hundred twenty-one trillion, one hundred one billion, three million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 373 576 746 1119 1492 2238 2984 3357 4476 5968 6714 8952 11936 13428 17904 23872 26856 35808 53712 71616 107424 214848 563658973 1127317946 1690976919 2254635892 3381953838 4509271784 5072930757 6763907676 9018543568 10145861514 13527815352 18037087136 20291723028 27055630704 36074174272 40583446056 54111261408 81166892112 108222522816 162333784224 210244796929 324667568448 420489593858 630734390787 840979187716 1261468781574 1681958375432 1892203172361 2522937563148 3363916750864 3784406344722 5045875126296 6727833501728 7568812689444 10091750252592 13455667003456 15137625378888 20183500505184 30275250757776 40367001010368 60550501515552 121101003031104