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10141133023121 = 413253733310369
BaseRepresentation
bin1001001110010010101010…
…1000011010011110010001
31022220111000222220200002212
42103210222220122132101
52312123020023214441
633322434443321505
72064446505266102
oct223445250323621
938814028820085
1010141133023121
11325a915238201
121179504b20295
135873c66911a9
14270b950143a9
15128bda36eeeb
hex9392aa1a791

10141133023121 has 16 divisors (see below), whose sum is σ = 10394090671440. Its totient is φ = 9888444334080.

The previous prime is 10141133023111. The next prime is 10141133023123. The reversal of 10141133023121 is 12132033114101.

It can be written as a sum of positive squares in 8 ways, for example, as 2772291600400 + 7368841422721 = 1665020^2 + 2714561^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10141133023121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10141133023123) 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, 978019025 + ... + 978029393.

It is an arithmetic number, because the mean of its divisors is an integer number (649630666965).

Almost surely, 210141133023121 is an apocalyptic number.

It is an amenable number.

10141133023121 is a deficient number, since it is larger than the sum of its proper divisors (252957648319).

10141133023121 is a wasteful number, since it uses less digits than its factorization.

10141133023121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20996.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10141133023121 its reverse (12132033114101), we get a palindrome (22273166137222).

The spelling of 10141133023121 in words is "ten trillion, one hundred forty-one billion, one hundred thirty-three million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 41 3253 7333 10369 133373 300653 425129 23854249 33730357 76035877 978024209 1382944637 3117470957 247344707881 10141133023121