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1060101066141 = 321333742976257
BaseRepresentation
bin11110110110100101111…
…00101000110110011101
310202100022021011220220200
433123102330220312131
5114332041333104031
62131000444534113
7136406202246135
oct17332274506635
93670267156820
101060101066141
1137964a462497
12151555851339
1378c75950880
14394484c7ac5
151c897cce8e6
hexf6d2f28d9d

1060101066141 has 48 divisors (see below), whose sum is σ = 1654588716144. Its totient is φ = 650178772992.

The previous prime is 1060101066113. The next prime is 1060101066217. The reversal of 1060101066141 is 1416601010601.

It is a happy number.

1060101066141 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 10 + 6 + 6 + 1 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2142764100 + 1057958302041 = 46290^2 + 1028571^2 .

It is not a de Polignac number, because 1060101066141 - 25 = 1060101066109 is a prime.

It is a super-2 number, since 2×10601010661412 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1060101066341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169423285 + ... + 169429541.

It is an arithmetic number, because the mean of its divisors is an integer number (34470598253).

Almost surely, 21060101066141 is an apocalyptic number.

It is an amenable number.

1060101066141 is a deficient number, since it is larger than the sum of its proper divisors (594487650003).

1060101066141 is a wasteful number, since it uses less digits than its factorization.

1060101066141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 1060101066141 its reverse (1416601010601), we get a palindrome (2476702076742).

The spelling of 1060101066141 in words is "one trillion, sixty billion, one hundred one million, sixty-six thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 337 1011 3033 4297 4381 6257 12891 13143 18771 38673 39429 55861 56313 81341 167583 244023 502749 732069 1448089 2108609 4344267 6325827 13032801 18825157 18977481 26886329 27411917 56475471 80658987 82235751 169426413 241976961 246707253 349522277 1048566831 3145700493 9060692873 27182078619 81546235857 117789007349 353367022047 1060101066141