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9001202110121 = 133141544768027
BaseRepresentation
bin1000001011111100000101…
…1101000100111010101001
31011212111200020210100102102
42002333001131010322221
52134433430220010441
631051032315543145
71616213115352424
oct202770135047251
934774606710372
109001202110121
11296042aa26271
1210145b045aab5
13503a6ac42760
142319366049bb
1510921ded269b
hex82fc1744ea9

9001202110121 has 16 divisors (see below), whose sum is σ = 10250355214848. Its totient is φ = 7844659574400.

The previous prime is 9001202110091. The next prime is 9001202110141. The reversal of 9001202110121 is 1210112021009.

It is a cyclic number.

It is not a de Polignac number, because 9001202110121 - 222 = 9001197915817 is a prime.

It is a super-3 number, since 3×90012021101213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9001202110093 and 9001202110102.

It is not an unprimeable number, because it can be changed into a prime (9001202110141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272367491 + ... + 272400536.

It is an arithmetic number, because the mean of its divisors is an integer number (640647200928).

Almost surely, 29001202110121 is an apocalyptic number.

It is an amenable number.

9001202110121 is a deficient number, since it is larger than the sum of its proper divisors (1249153104727).

9001202110121 is a wasteful number, since it uses less digits than its factorization.

9001202110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544768112.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 9001202110121 in words is "nine trillion, one billion, two hundred two million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 13 31 41 403 533 1271 16523 544768027 7081984351 16887808837 22335489107 219541514881 290361358391 692400162317 9001202110121