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10212216500 = 225354737339
BaseRepresentation
bin10011000001011001…
…00000111010110100
3222100201002100102202
421200230200322310
5131403311412000
64405203124032
7511032256643
oct114054407264
928321070382
1010212216500
114370591452
121b90073618
13c69961175
146cc40535a
153eb82bdd5
hex260b20eb4

10212216500 has 48 divisors (see below), whose sum is σ = 22344853440. Its totient is φ = 4077309600.

The previous prime is 10212216493. The next prime is 10212216503. The reversal of 10212216500 is 561221201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212216503) 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, 254831 + ... + 292169.

It is an arithmetic number, because the mean of its divisors is an integer number (465517780).

Almost surely, 210212216500 is an apocalyptic number.

10212216500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172426720).

10212216500 is an abundant number, since it is smaller than the sum of its proper divisors (12132636940).

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

10212216500 is a wasteful number, since it uses less digits than its factorization.

10212216500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37905 (or 37893 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10212216500 its reverse (561221201), we get a palindrome (10773437701).

The spelling of 10212216500 in words is "ten billion, two hundred twelve million, two hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 547 1094 2188 2735 5470 10940 13675 27350 37339 54700 68375 74678 136750 149356 186695 273500 373390 746780 933475 1866950 3733900 4667375 9334750 18669500 20424433 40848866 81697732 102122165 204244330 408488660 510610825 1021221650 2042443300 2553054125 5106108250 10212216500