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20503157022 = 23331109313359
BaseRepresentation
bin10011000110000101…
…010101100100011110
31221220220022021221000
4103012011111210132
5313442302011042
613230301451130
71324041646665
oct230605254436
957826267830
1020503157022
118771552377
123b82570aa6
131c199c699a
14dc705dddc
1580000974c
hex4c615591e

20503157022 has 128 divisors (see below), whose sum is σ = 47748096000. Its totient is φ = 6514110720.

The previous prime is 20503157021. The next prime is 20503157033. The reversal of 20503157022 is 22075130502.

20503157022 is a `hidden beast` number, since 2 + 0 + 503 + 157 + 0 + 2 + 2 = 666.

20503157022 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20503157021) 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, 57111679 + ... + 57112037.

It is an arithmetic number, because the mean of its divisors is an integer number (373032000).

Almost surely, 220503157022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20503157022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23874048000).

20503157022 is an abundant number, since it is smaller than the sum of its proper divisors (27244938978).

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

20503157022 is a wasteful number, since it uses less digits than its factorization.

20503157022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 20503157022 its reverse (22075130502), we get a palindrome (42578287524).

The spelling of 20503157022 in words is "twenty billion, five hundred three million, one hundred fifty-seven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 109 186 218 279 313 327 359 558 626 654 718 837 939 981 1077 1674 1878 1962 2154 2817 2943 3231 3379 5634 5886 6462 6758 8451 9693 9703 10137 11129 16902 19386 19406 20274 22258 29109 30411 33387 34117 39131 58218 60822 66774 68234 78262 87327 91233 100161 102351 112367 117393 174654 182466 200322 204702 224734 234786 261981 300483 307053 337101 352179 523962 600966 614106 674202 704358 921159 1011303 1056537 1057627 1213061 1842318 2022606 2113074 2115254 2426122 3033909 3172881 3483377 3639183 6067818 6345762 6966754 7278366 9518643 10450131 10917549 12248003 19037286 20900262 21835098 24496006 28555929 31350393 32752647 36744009 57111858 62700786 65505294 73488018 94051179 110232027 188102358 220464054 330696081 379688093 661392162 759376186 1139064279 2278128558 3417192837 6834385674 10251578511 20503157022