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10202220080 = 2451310197127
BaseRepresentation
bin10011000000001100…
…11000011000110000
3222100000021110220222
421200012120120300
5131343232020310
64404204552212
7510551303603
oct114006303060
928300243828
1010202220080
114365983a48
121b88852668
13c67871120
146cad6233a
153eaa05055
hex260198630

10202220080 has 80 divisors (see below), whose sum is σ = 25797973824. Its totient is φ = 3729638400.

The previous prime is 10202220079. The next prime is 10202220121. The reversal of 10202220080 is 8002220201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56477 + ... + 153603.

Almost surely, 210202220080 is an apocalyptic number.

10202220080 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 10202220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12898986912).

10202220080 is an abundant number, since it is smaller than the sum of its proper divisors (15595753744).

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

10202220080 is a wasteful number, since it uses less digits than its factorization.

10202220080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97254 (or 97248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10202220080 its reverse (8002220201), we get a palindrome (18204440281).

The spelling of 10202220080 in words is "ten billion, two hundred two million, two hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 260 404 505 520 808 1010 1040 1313 1616 2020 2626 4040 5252 6565 8080 10504 13130 21008 26260 52520 97127 105040 194254 388508 485635 777016 971270 1262651 1554032 1942540 2525302 3885080 5050604 6313255 7770160 9809827 10101208 12626510 19619654 20202416 25253020 39239308 49049135 50506040 78478616 98098270 101012080 127527751 156957232 196196540 255055502 392393080 510111004 637638755 784786160 1020222008 1275277510 2040444016 2550555020 5101110040 10202220080