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220021110020010 = 23513262576935699
BaseRepresentation
bin110010000001101110101000…
…000110110001011110101010
31001212000210221110022200200010
4302001232220012301132222
5212314311213131120020
62055540145204352350
764226000133501315
oct6201565006613652
91055023843280603
10220021110020010
1164118479738912
12208156946a56b6
13959cb94bc8c00
143c4911575397c
151a683c2355de0
hexc81ba81b17aa

220021110020010 has 96 divisors (see below), whose sum is σ = 571885973265600. Its totient is φ = 54150378906624.

The previous prime is 220021110020009. The next prime is 220021110020027. The reversal of 220021110020010 is 10020011120022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28255141 + ... + 35190839.

It is an arithmetic number, because the mean of its divisors is an integer number (5957145554850).

Almost surely, 2220021110020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220021110020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285942986632800).

220021110020010 is an abundant number, since it is smaller than the sum of its proper divisors (351864863245590).

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

220021110020010 is a wasteful number, since it uses less digits than its factorization.

220021110020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6941992 (or 6941979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220021110020010 its reverse (10020011120022), we get a palindrome (230041121140032).

The spelling of 220021110020010 in words is "two hundred twenty trillion, twenty-one billion, one hundred ten million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 6257 12514 18771 31285 37542 62570 81341 93855 162682 187710 244023 406705 488046 813410 1057433 1220115 2114866 2440230 3172299 5287165 6344598 6935699 10574330 13871398 15861495 20807097 31722990 34678495 41614194 69356990 90164087 104035485 180328174 208070970 270492261 450820435 540984522 901640870 1172133131 1352461305 2344266262 2704922610 3516399393 5860665655 7032798786 11721331310 17581996965 35163993930 43396668643 86793337286 130190005929 216983343215 260380011858 433966686430 564156692359 650950029645 1128313384718 1301900059290 1692470077077 2820783461795 3384940154154 5641566923590 7334037000667 8462350385385 14668074001334 16924700770770 22002111002001 36670185003335 44004222004002 73340370006670 110010555010005 220021110020010