Search a number
-
+
2002112210100 = 2235246399143833
BaseRepresentation
bin11101001000100111001…
…011111110010010110100
321002101210122100020111210
4131020213023332102310
5230300311211210400
64131431353001420
7264435130665012
oct35104713762264
97071718306453
102002112210100
11702100169572
122840333b3270
13116a4c038a32
146cc8d1d78b2
153712d657950
hex1d2272fe4b4

2002112210100 has 72 divisors (see below), whose sum is σ = 5792943116800. Its totient is φ = 533881370880.

The previous prime is 2002112210099. The next prime is 2002112210141. The reversal of 2002112210100 is 10122112002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13847784 + ... + 13991616.

Almost surely, 22002112210100 is an apocalyptic number.

2002112210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002112210100 is an abundant number, since it is smaller than the sum of its proper divisors (3790830906700).

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

2002112210100 is a wasteful number, since it uses less digits than its factorization.

2002112210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190249 (or 190242 counting only the distinct ones).

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

Adding to 2002112210100 its reverse (10122112002), we get a palindrome (2012234322102).

The spelling of 2002112210100 in words is "two trillion, two billion, one hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 46399 92798 139197 143833 185596 231995 278394 287666 431499 463990 556788 575332 695985 719165 862998 927980 1159975 1391970 1438330 1725996 2157495 2319950 2783940 2876660 3479925 3595825 4314990 4639900 6959850 7191650 8629980 10787475 13919700 14383300 21574950 43149900 6673707367 13347414734 20021122101 26694829468 33368536835 40042244202 66737073670 80084488404 100105610505 133474147340 166842684175 200211221010 333685368350 400422442020 500528052525 667370736700 1001056105050 2002112210100