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253002032203020 = 223510781614828871
BaseRepresentation
bin111001100001101010100000…
…010000011100010100001100
31020011210202110122000012121220
4321201222200100130110030
5231130141130220444040
62254031310135323340
7104201536132530132
oct7141524020342414
91204722418005556
10253002032203020
117368361747a341
12244615a4820550
13ab22cb2552a39
144669513da3752
151e3b26ba672d0
hexe61aa041c50c

253002032203020 has 96 divisors (see below), whose sum is σ = 715114067222016. Its totient is φ = 66828470323200.

The previous prime is 253002032203013. The next prime is 253002032203031. The reversal of 253002032203020 is 20302230200352.

It is a super-2 number, since 2×2530020322030202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49979185 + ... + 54808055.

It is an arithmetic number, because the mean of its divisors is an integer number (7449104866896).

Almost surely, 2253002032203020 is an apocalyptic number.

253002032203020 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 253002032203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357557033611008).

253002032203020 is an abundant number, since it is smaller than the sum of its proper divisors (462112035018996).

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

253002032203020 is a wasteful number, since it uses less digits than its factorization.

253002032203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837151 (or 4837149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 253002032203020 its reverse (20302230200352), we get a palindrome (273304262403372).

The spelling of 253002032203020 in words is "two hundred fifty-three trillion, two billion, thirty-two million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 8161 16322 24483 32644 40805 48966 81610 97932 122415 163220 244830 489660 873227 1746454 2619681 3492908 4366135 4828871 5239362 8732270 9657742 10478724 13098405 14486613 17464540 19315484 24144355 26196810 28973226 48288710 52393620 57946452 72433065 96577420 144866130 289732260 516689197 1033378394 1550067591 2066756788 2583445985 3100135182 5166891970 6200270364 7750337955 10333783940 15500675910 31001351820 39408416231 78816832462 118225248693 157633664924 197042081155 236450497386 394084162310 472900994772 591126243465 788168324620 1182252486930 2364504973860 4216700536717 8433401073434 12650101610151 16866802146868 21083502683585 25300203220302 42167005367170 50600406440604 63250508050755 84334010734340 126501016101510 253002032203020