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1085153013 = 32717224651
BaseRepresentation
bin100000010101110…
…0001111011110101
32210121220111002100
41000223201323311
54210244344023
6255402332313
735614435260
oct10053417365
92717814070
101085153013
115075a457a
122634ba099
13143a82b99
14a4195cd7
1565401c43
hex40ae1ef5

1085153013 has 12 divisors (see below), whose sum is σ = 1791363808. Its totient is φ = 620087400.

The previous prime is 1085152963. The next prime is 1085153021. The reversal of 1085153013 is 3103515801.

1085153013 is a `hidden beast` number, since 108 + 515 + 30 + 13 = 666.

1085153013 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1085153013 - 29 = 1085152501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085133013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8612263 + ... + 8612388.

Almost surely, 21085153013 is an apocalyptic number.

It is an amenable number.

1085153013 is a deficient number, since it is larger than the sum of its proper divisors (706210795).

1085153013 is a wasteful number, since it uses less digits than its factorization.

1085153013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17224664 (or 17224661 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1085153013 is about 32941.6607504843. The cubic root of 1085153013 is about 1027.6147441431.

Adding to 1085153013 its reverse (3103515801), we get a palindrome (4188668814).

The spelling of 1085153013 in words is "one billion, eighty-five million, one hundred fifty-three thousand, thirteen".

Divisors: 1 3 7 9 21 63 17224651 51673953 120572557 155021859 361717671 1085153013