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203002032121220 = 2251031492749240587
BaseRepresentation
bin101110001010000100011000…
…000000110110010110000100
3222121202210201122200210021102
4232022010120000312112010
5203101441130210334340
61555425502432235232
760521261412315353
oct5612043000662604
9877683648623242
10203002032121220
1159756750975852
121a9271a199bb18
138937017b01777
14381b4ca77799a
151870836ddd215
hexb8a118036584

203002032121220 has 96 divisors (see below), whose sum is σ = 433491458400000. Its totient is φ = 79843387451904.

The previous prime is 203002032121169. The next prime is 203002032121313. The reversal of 203002032121220 is 22121230200302.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 203002032121192 and 203002032121201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843657767 + ... + 843898353.

It is an arithmetic number, because the mean of its divisors is an integer number (4515536025000).

Almost surely, 2203002032121220 is an apocalyptic number.

203002032121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203002032121220 is an abundant number, since it is smaller than the sum of its proper divisors (230489426278780).

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

203002032121220 is a wasteful number, since it uses less digits than its factorization.

203002032121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243597 (or 243595 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 203002032121220 its reverse (22121230200302), we get a palindrome (225123262321522).

The spelling of 203002032121220 in words is "two hundred three trillion, two billion, thirty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 103 149 206 298 412 515 596 745 1030 1490 2060 2749 2980 5498 10996 13745 15347 27490 30694 54980 61388 76735 153470 240587 283147 306940 409601 481174 566294 819202 962348 1132588 1202935 1415735 1638404 2048005 2405870 2831470 4096010 4811740 5662940 8192020 24780461 35847463 42188903 49560922 71694926 84377806 99121844 123902305 143389852 168755612 179237315 210944515 247804610 358474630 421889030 495609220 661373663 716949260 843778060 1322747326 2645494652 3306868315 3692288689 6613736630 7384577378 13227473260 14769154756 18461443445 36922886890 68121487289 73845773780 98544675787 136242974578 197089351574 272485949156 340607436445 394178703148 492723378935 681214872890 985446757870 1362429745780 1970893515740 10150101606061 20300203212122 40600406424244 50750508030305 101501016060610 203002032121220