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2003110203220 = 2257412459141917
BaseRepresentation
bin11101001001100010101…
…011000000111101010100
321002111101012020112200221
4131021202223000331110
5230304332203000340
64132114403244124
7264501636536650
oct35114253007524
97074335215627
102003110203220
11702572541575
12284271679644
13116b7aa225c9
146cd45981a60
153718b08e44a
hex1d262ac0f54

2003110203220 has 96 divisors (see below), whose sum is σ = 4926757167360. Its totient is φ = 669752693760.

The previous prime is 2003110203191. The next prime is 2003110203247. The reversal of 2003110203220 is 223020113002.

It is a junction number, because it is equal to n+sod(n) for n = 2003110203194 and 2003110203203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14043702 + ... + 14185618.

It is an arithmetic number, because the mean of its divisors is an integer number (51320387160).

Almost surely, 22003110203220 is an apocalyptic number.

2003110203220 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 2003110203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463378583680).

2003110203220 is an abundant number, since it is smaller than the sum of its proper divisors (2923646964140).

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

2003110203220 is a wasteful number, since it uses less digits than its factorization.

2003110203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144433 (or 144431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2003110203220 its reverse (223020113002), we get a palindrome (2226130316222).

The spelling of 2003110203220 in words is "two trillion, three billion, one hundred ten million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2459 2870 4918 5740 9836 12295 17213 24590 34426 49180 68852 86065 100819 141917 172130 201638 283834 344260 403276 504095 567668 705733 709585 993419 1008190 1411466 1419170 1986838 2016380 2822932 2838340 3528665 3973676 4967095 5818597 7057330 9934190 11637194 14114660 19868380 23274388 29092985 40730179 58185970 81460358 116371940 162920716 203650895 348973903 407301790 697947806 814603580 1395895612 1744869515 2442817321 3489739030 4885634642 6979478060 9771269284 12214086605 14307930023 24428173210 28615860046 48856346420 57231720092 71539650115 100155510161 143079300230 200311020322 286158600460 400622040644 500777550805 1001555101610 2003110203220