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20001102220 = 225112329136303
BaseRepresentation
bin10010101000001010…
…001001100110001100
31220121220121021012201
4102220022021212030
5311430240232340
613104405011244
71305434364241
oct225012114614
956556537181
1020001102220
118534112150
123a623b3b24
131b699a2538
14d7a4d15c8
157c0dd779a
hex4a828998c

20001102220 has 96 divisors (see below), whose sum is σ = 49461995520. Its totient is φ = 6716962560.

The previous prime is 20001102167. The next prime is 20001102269. The reversal of 20001102220 is 2220110002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20001102197 and 20001102206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78589 + ... + 214891.

It is an arithmetic number, because the mean of its divisors is an integer number (515229120).

Almost surely, 220001102220 is an apocalyptic number.

20001102220 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 20001102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730997760).

20001102220 is an abundant number, since it is smaller than the sum of its proper divisors (29460893300).

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

20001102220 is a wasteful number, since it uses less digits than its factorization.

20001102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136375 (or 136373 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20001102220 its reverse (2220110002), we get a palindrome (22221212222).

It can be divided in two parts, 20001 and 102220, that added together give a palindrome (122221).

The spelling of 20001102220 in words is "twenty billion, one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 2530 2668 3190 3335 5060 6380 6670 7337 13340 14674 29348 36685 73370 136303 146740 272606 545212 681515 1363030 1499333 2726060 2998666 3134969 3952787 5997332 6269938 7496665 7905574 12539876 14993330 15674845 15811148 19763935 29986660 31349690 34484659 39527870 43480657 62699380 68969318 79055740 86961314 90914101 137938636 172423295 173922628 181828202 217403285 344846590 363656404 434806570 454570505 689693180 869613140 909141010 1000055111 1818282020 2000110222 4000220444 5000275555 10000551110 20001102220