Search a number
-
+
10212203200 = 265241915233
BaseRepresentation
bin10011000001011000…
…11101101011000000
3222100201001200012011
421200230131223000
5131403311000300
64405202542304
7511032203113
oct114054355300
928321050164
1010212203200
114370582461
121b90067994
13c699580b4
146cc40057a
153eb827eba
hex260b1dac0

10212203200 has 84 divisors (see below), whose sum is σ = 25190028360. Its totient is φ = 4074864640.

The previous prime is 10212203191. The next prime is 10212203213. The reversal of 10212203200 is 230221201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 662784 + ... + 678016.

It is an arithmetic number, because the mean of its divisors is an integer number (299881290).

Almost surely, 210212203200 is an apocalyptic number.

10212203200 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 10212203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595014180).

10212203200 is an abundant number, since it is smaller than the sum of its proper divisors (14977825160).

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

10212203200 is a wasteful number, since it uses less digits than its factorization.

10212203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15674 (or 15659 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10212203200 its reverse (230221201), we get a palindrome (10442424401).

The spelling of 10212203200 in words is "ten billion, two hundred twelve million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 419 800 838 1600 1676 2095 3352 4190 6704 8380 10475 13408 15233 16760 20950 26816 30466 33520 41900 60932 67040 76165 83800 121864 134080 152330 167600 243728 304660 335200 380825 487456 609320 670400 761650 974912 1218640 1523300 2437280 3046600 4874560 6093200 6382627 12186400 12765254 24372800 25530508 31913135 51061016 63826270 102122032 127652540 159565675 204244064 255305080 319131350 408488128 510610160 638262700 1021220320 1276525400 2042440640 2553050800 5106101600 10212203200