Search a number
-
+
10211202102120 = 233585093350851
BaseRepresentation
bin1001010010010111101100…
…0100101111001101101000
31100011011220020020200112220
42110211323010233031220
52314300020214231440
633414543403034040
72102510051525205
oct224457304571550
940134806220486
1010211202102120
113287601421358
12118abbab0b920
13590bb2214096
14274320c8ccac
1512a93ba788d0
hex9497b12f368

10211202102120 has 32 divisors (see below), whose sum is σ = 30633606306720. Its totient is φ = 2722987227200.

The previous prime is 10211202102113. The next prime is 10211202102137. The reversal of 10211202102120 is 2120120211201.

10211202102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10211202102120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42546675306 + ... + 42546675545.

It is an arithmetic number, because the mean of its divisors is an integer number (957300197085).

Almost surely, 210211202102120 is an apocalyptic number.

10211202102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211202102120 is an abundant number, since it is smaller than the sum of its proper divisors (20422404204600).

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

10211202102120 is a wasteful number, since it uses less digits than its factorization.

10211202102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85093350865 (or 85093350861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10211202102120 its reverse (2120120211201), we get a palindrome (12331322313321).

The spelling of 10211202102120 in words is "ten trillion, two hundred eleven billion, two 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 85093350851 170186701702 255280052553 340373403404 425466754255 510560105106 680746806808 850933508510 1021120210212 1276400262765 1701867017020 2042240420424 2552800525530 3403734034040 5105601051060 10211202102120