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10025520402223 = 2343671495211949
BaseRepresentation
bin1001000111100011111110…
…0101010000111100101111
31022111102121202101000021201
42101320333211100330233
52303224231210332343
633153354355510331
72053214512235314
oct221707745207457
938442552330251
1010025520402223
1132158879a1a27
12115b01a5b83a7
1357953043b341
1426934865cd0b
15125bc065d94d
hex91e3f950f2f

10025520402223 has 64 divisors (see below), whose sum is σ = 10964004480000. Its totient is φ = 9142604190720.

The previous prime is 10025520402217. The next prime is 10025520402253. The reversal of 10025520402223 is 32220402552001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10025520402223 is a prime.

It is a super-2 number, since 2×100255204022232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10025520402191 and 10025520402200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025520402253) 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, 5143929453 + ... + 5143931401.

It is an arithmetic number, because the mean of its divisors is an integer number (171312570000).

Almost surely, 210025520402223 is an apocalyptic number.

10025520402223 is a deficient number, since it is larger than the sum of its proper divisors (938484077777).

10025520402223 is a wasteful number, since it uses less digits than its factorization.

10025520402223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752.

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 10025520402223 its reverse (32220402552001), we get a palindrome (42245922954224).

The spelling of 10025520402223 in words is "ten trillion, twenty-five billion, five hundred twenty million, four hundred two thousand, two hundred twenty-three".

Divisors: 1 23 43 67 149 521 989 1541 1949 2881 3427 6407 9983 11983 22403 34907 44827 66263 77629 83807 130583 147361 229609 290401 429269 515269 802861 1015429 1501001 1785467 1927561 3003409 3338047 5201143 5615069 6679223 9873187 12487243 19456867 23354867 34523023 43663447 68033743 76775081 119626289 129146587 151298921 223649149 287206589 447507941 836645281 1004259281 1564776089 2925450949 3479875183 5143930427 6505853603 10137027707 19242841463 67285371827 149634632869 233151637261 435892191401 10025520402223