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20153103534 = 23331591071907
BaseRepresentation
bin10010110001001101…
…111111010010101110
31221000111121201211000
4102301031333102232
5312233143303114
613131434541130
71312261360614
oct226115772256
957014551730
1020153103534
1186019a0a73
123aa52977a6
131b92322345
14d9277b6b4
157ce40ee09
hex4b137f4ae

20153103534 has 128 divisors (see below), whose sum is σ = 47477145600. Its totient is φ = 6327767520.

The previous prime is 20153103533. The next prime is 20153103557. The reversal of 20153103534 is 43530135102.

20153103534 is a `hidden beast` number, since 20 + 1 + 5 + 3 + 103 + 534 = 666.

It is a super-2 number, since 2×201531035342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20153103498 and 20153103507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153103533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10567009 + ... + 10568915.

It is an arithmetic number, because the mean of its divisors is an integer number (370915200).

Almost surely, 220153103534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20153103534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23738572800).

20153103534 is an abundant number, since it is smaller than the sum of its proper divisors (27324042066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20153103534 is a wasteful number, since it uses less digits than its factorization.

20153103534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 20153103534 its reverse (43530135102), we get a palindrome (63683238636).

The spelling of 20153103534 in words is "twenty billion, one hundred fifty-three million, one hundred three thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 59 62 93 107 118 177 186 214 279 321 354 531 558 642 837 963 1062 1593 1674 1829 1907 1926 2889 3186 3317 3658 3814 5487 5721 5778 6313 6634 9951 10974 11442 12626 16461 17163 18939 19902 29853 32922 34326 37878 49383 51489 56817 59117 59706 89559 98766 102978 112513 113634 118234 170451 177351 179118 195703 204049 225026 337539 340902 354702 391406 408098 532053 587109 612147 675078 1012617 1064106 1174218 1224294 1596159 1761327 1836441 2025234 3037851 3192318 3487903 3522654 3672882 5283981 5509323 6075702 6325519 6975806 10463709 10567962 11018646 12038891 12651038 18976557 20927418 24077782 31391127 36116673 37953114 56929671 62782254 72233346 94173381 108350019 113859342 170789013 188346762 216700038 325050057 341578026 373205621 650100114 746411242 1119616863 2239233726 3358850589 6717701178 10076551767 20153103534