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10204320220 = 2253159713929
BaseRepresentation
bin10011000000011100…
…11001000111011100
3222100011020011202221
421200032121013130
5131344301221340
64404321555124
7510605201503
oct114016310734
928304204687
1010204320220
1143670888a6
121b894a5aa4
13c68128003
146cb34b83a
153eacbc44a
hex2603991dc

10204320220 has 96 divisors (see below), whose sum is σ = 22817894400. Its totient is φ = 3827443200.

The previous prime is 10204320167. The next prime is 10204320221. The reversal of 10204320220 is 2202340201.

It is a junction number, because it is equal to n+sod(n) for n = 10204320194 and 10204320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204320221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2595216 + ... + 2599144.

It is an arithmetic number, because the mean of its divisors is an integer number (237686400).

Almost surely, 210204320220 is an apocalyptic number.

10204320220 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 10204320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11408947200).

10204320220 is an abundant number, since it is smaller than the sum of its proper divisors (12613574180).

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

10204320220 is a wasteful number, since it uses less digits than its factorization.

10204320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10204320220 its reverse (2202340201), we get a palindrome (12406660421).

The spelling of 10204320220 in words is "ten billion, two hundred four million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 71 118 124 142 155 236 284 295 310 355 590 620 710 1180 1420 1829 2201 3658 3929 4189 4402 7316 7858 8378 8804 9145 11005 15716 16756 18290 19645 20945 22010 36580 39290 41890 44020 78580 83780 121799 129859 231811 243598 259718 278959 463622 487196 519436 557918 608995 649295 927244 1115836 1159055 1217990 1298590 1394795 2318110 2435980 2597180 2789590 4636220 5579180 7186141 8647729 14372282 16458581 17295458 28744564 32917162 34590916 35930705 43238645 65834324 71861410 82292905 86477290 143722820 164585810 172954580 329171620 510216011 1020432022 2040864044 2551080055 5102160110 10204320220