Search a number
-
+
2002110011020 = 225723429759567
BaseRepresentation
bin11101001000100111000…
…011100101011010001100
321002101210111012111221101
4131020213003211122030
5230300310130323040
64131431233512444
7264435103205500
oct35104703453214
97071714174841
102002110011020
117020a99a7349
12284032712724
13116a4b748ac2
146cc8cbc4300
153712d37109a
hex1d2270e568c

2002110011020 has 72 divisors (see below), whose sum is σ = 4891093454016. Its totient is φ = 686406180096.

The previous prime is 2002110011003. The next prime is 2002110011059. The reversal of 2002110011020 is 201100112002.

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 = 2002110010988 and 2002110011006.

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 23 ways as a sum of consecutive naturals, for example, 33581277 + ... + 33640843.

It is an arithmetic number, because the mean of its divisors is an integer number (67931853528).

Almost surely, 22002110011020 is an apocalyptic number.

2002110011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002110011020 is an abundant number, since it is smaller than the sum of its proper divisors (2888983442996).

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

2002110011020 is a wasteful number, since it uses less digits than its factorization.

2002110011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93887 (or 93878 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2002110011020 its reverse (201100112002), we get a palindrome (2203210123022).

The spelling of 2002110011020 in words is "two trillion, two billion, one hundred ten million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 34297 59567 68594 119134 137188 171485 238268 240079 297835 342970 416969 480158 595670 685940 833938 960316 1191340 1200395 1667876 1680553 2084845 2400790 2918783 3361106 4169690 4801580 5837566 6722212 8339380 8402765 11675132 14593915 16805530 29187830 33611060 58375660 2042969399 4085938798 8171877596 10214846995 14300785793 20429693990 28601571586 40859387980 57203143172 71503928965 100105500551 143007857930 200211001102 286015715860 400422002204 500527502755 1001055005510 2002110011020