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10200105402621 = 366150329102203
BaseRepresentation
bin1001010001101110010110…
…1010001100000011111101
31100010010020212211221112120
42110123211222030003331
52314104303440340441
633405510322153153
72101635056244501
oct224334552140375
940103225757476
1010200105402621
113282927646822
121188a227b27b9
1358cb342602c4
1427398b20a301
1512a4dc787966
hex946e5a8c0fd

10200105402621 has 16 divisors (see below), whose sum is σ = 13621119543360. Its totient is φ = 6789581377920.

The previous prime is 10200105402577. The next prime is 10200105402629. The reversal of 10200105402621 is 12620450100201.

10200105402621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10200105402621 - 229 = 10199568531709 is a prime.

It is a super-3 number, since 3×102001054026213 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10200105402591 and 10200105402600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200105402629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99751306 + ... + 99853508.

It is an arithmetic number, because the mean of its divisors is an integer number (851319971460).

Almost surely, 210200105402621 is an apocalyptic number.

It is an amenable number.

10200105402621 is a deficient number, since it is larger than the sum of its proper divisors (3421014140739).

10200105402621 is a wasteful number, since it uses less digits than its factorization.

10200105402621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153196.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10200105402621 its reverse (12620450100201), we get a palindrome (22820555502822).

The spelling of 10200105402621 in words is "ten trillion, two hundred billion, one hundred five million, four hundred two thousand, six hundred twenty-one".

Divisors: 1 3 661 1983 50329 102203 150987 306609 33267469 67556183 99802407 202668549 5143774787 15431324361 3400035134207 10200105402621