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22302313013300 = 22521072207944417
BaseRepresentation
bin1010001001000101010010…
…11100011110000000110100
32220222002011112120122010012
411010202221130132000310
510410400114112411200
6115233312520115352
74461201051523325
oct504425134360064
986862145518105
1022302313013300
1171193a3304261
122602407605b58
13c5a139927118
1457161b10844c
1528a203614a35
hex1448a971e034

22302313013300 has 72 divisors (see below), whose sum is σ = 48870503587584. Its totient is φ = 8833538391040.

The previous prime is 22302313013297. The next prime is 22302313013399. The reversal of 22302313013300 is 331031320322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23142692 + ... + 24087108.

It is an arithmetic number, because the mean of its divisors is an integer number (678756994272).

Almost surely, 222302313013300 is an apocalyptic number.

22302313013300 is a gapful number since it is divisible by the number (20) 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 22302313013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24435251793792).

22302313013300 is an abundant number, since it is smaller than the sum of its proper divisors (26568190574284).

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

22302313013300 is a wasteful number, since it uses less digits than its factorization.

22302313013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946745 (or 946738 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 22302313013300 its reverse (331031320322), we get a palindrome (22633344333622).

The spelling of 22302313013300 in words is "twenty-two trillion, three hundred two billion, three hundred thirteen million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2207 2675 4414 5350 8828 10700 11035 22070 44140 55175 110350 220700 236149 472298 944417 944596 1180745 1888834 2361490 3777668 4722085 4722980 5903725 9444170 11807450 18888340 23610425 23614900 47220850 94441700 101052619 202105238 404210476 505263095 1010526190 2021052380 2084328319 2526315475 4168656638 5052630950 8337313276 10105261900 10421641595 20843283190 41686566380 52108207975 104216415950 208432831900 223023130133 446046260266 892092520532 1115115650665 2230231301330 4460462602660 5575578253325 11151156506650 22302313013300