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1052153132133 = 314916352327611
BaseRepresentation
bin11110100111110010011…
…01101011010001100101
310201120210100202001010110
433103321031223101211
5114214302200212013
62123204045043233
7136005223026645
oct17237115532145
93646710661113
101052153132133
11376241016a94
1214bab7b56519
13782aa13a33c
1438cd2ad4525
151c58016b2c3
hexf4f936b465

1052153132133 has 32 divisors (see below), whose sum is σ = 1423718899200. Its totient is φ = 691104363840.

The previous prime is 1052153132099. The next prime is 1052153132137. The reversal of 1052153132133 is 3312313512501.

It is not a de Polignac number, because 1052153132133 - 28 = 1052153131877 is a prime.

It is a super-2 number, since 2×10521531321332 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052153132133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052153132137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38092498 + ... + 38120108.

It is an arithmetic number, because the mean of its divisors is an integer number (44491215600).

Almost surely, 21052153132133 is an apocalyptic number.

It is an amenable number.

1052153132133 is a deficient number, since it is larger than the sum of its proper divisors (371565767067).

1052153132133 is a wasteful number, since it uses less digits than its factorization.

1052153132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28449.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 1052153132133 its reverse (3312313512501), we get a palindrome (4364466644634).

The spelling of 1052153132133 in words is "one trillion, fifty-two billion, one hundred fifty-three million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 149 163 447 489 523 1569 24287 27611 72861 77927 82833 85249 233781 255747 4114039 4500593 12342117 12702101 13501779 14440553 38106303 43321659 670588357 2011765071 2151642397 2353810139 6454927191 7061430417 350717710711 1052153132133