Search a number
-
+
2202102102120 = 233518350850851
BaseRepresentation
bin100000000010110111100…
…000110111100001101000
321210112000021121101110120
4200002313200313201220
5242034401114231440
64403344242243240
7315045100012464
oct40026740674150
97715007541416
102202102102120
117799a7256468
122b6947656520
1312c87122914b
1478821c074a4
153c435c81dd0
hex200b7837868

2202102102120 has 32 divisors (see below), whose sum is σ = 6606306306720. Its totient is φ = 587227227200.

The previous prime is 2202102102059. The next prime is 2202102102127. The reversal of 2202102102120 is 212012012022.

It is a super-2 number, since 2×22021021021202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2202102102120.

It is not an unprimeable number, because it can be changed into a prime (2202102102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9175425306 + ... + 9175425545.

It is an arithmetic number, because the mean of its divisors is an integer number (206447072085).

Almost surely, 22202102102120 is an apocalyptic number.

2202102102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202102102120 is an abundant number, since it is smaller than the sum of its proper divisors (4404204204600).

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

2202102102120 is a wasteful number, since it uses less digits than its factorization.

2202102102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18350850865 (or 18350850861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2202102102120 its reverse (212012012022), we get a palindrome (2414114114142).

The spelling of 2202102102120 in words is "two trillion, two hundred two billion, one hundred two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18350850851 36701701702 55052552553 73403403404 91754254255 110105105106 146806806808 183508508510 220210210212 275262762765 367017017020 440420420424 550525525530 734034034040 1101051051060 2202102102120