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1076053284141 = 31137881288521
BaseRepresentation
bin11111010100010011100…
…01100001010100101101
310210212111000002120010120
433222021301201110231
5120112224120043031
62142155420155153
7140512414000263
oct17521161412455
93725430076116
101076053284141
11385396031a30
12154668098ab9
137a618847114
143a11cd7c433
151cecd4d7a96
hexfa89c6152d

1076053284141 has 16 divisors (see below), whose sum is σ = 1607470264128. Its totient is φ = 634527734400.

The previous prime is 1076053284133. The next prime is 1076053284149. The reversal of 1076053284141 is 1414823506701.

1076053284141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1076053284133) and next prime (1076053284149).

It is not a de Polignac number, because 1076053284141 - 23 = 1076053284133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1076053284093 and 1076053284102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076053284149) 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, 440643040 + ... + 440645481.

It is an arithmetic number, because the mean of its divisors is an integer number (100466891508).

Almost surely, 21076053284141 is an apocalyptic number.

1076053284141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1076053284141 is a deficient number, since it is larger than the sum of its proper divisors (531416979987).

1076053284141 is a wasteful number, since it uses less digits than its factorization.

1076053284141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881288572.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 1076053284141 in words is "one trillion, seventy-six billion, fifty-three million, two hundred eighty-four thousand, one hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 881288521 2643865563 9694173731 29082521193 32607675277 97823025831 358684428047 1076053284141