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1020131401121 = 71187697717597
BaseRepresentation
bin11101101100001001001…
…00011101110110100001
310121112010201012120011222
432312010210131312201
5113203212114313441
62100350352144425
7133462543560410
oct16660444356641
93545121176158
101020131401121
113636a9643588
1214585bb38115
1375275c5c901
1437535d75477
151b808cdad4b
hexed8491dda1

1020131401121 has 16 divisors (see below), whose sum is σ = 1167080213376. Its totient is φ = 873486836736.

The previous prime is 1020131400991. The next prime is 1020131401127. The reversal of 1020131401121 is 1211041310201.

1020131401121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1020131401121 - 210 = 1020131400097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020131401121.

It is not an unprimeable number, because it can be changed into a prime (1020131401127) 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, 57963095 + ... + 57980691.

It is an arithmetic number, because the mean of its divisors is an integer number (72942513336).

Almost surely, 21020131401121 is an apocalyptic number.

It is an amenable number.

1020131401121 is a deficient number, since it is larger than the sum of its proper divisors (146948812255).

1020131401121 is a wasteful number, since it uses less digits than its factorization.

1020131401121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25768.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1020131401121 its reverse (1211041310201), we get a palindrome (2231172711322).

The spelling of 1020131401121 in words is "one trillion, twenty billion, one hundred thirty-one million, four hundred one thousand, one hundred twenty-one".

Divisors: 1 7 1187 6977 8309 17597 48839 123179 8281699 20887639 57971893 122774269 146213473 859419883 145733057303 1020131401121