Search a number
-
+
1020102001120 = 2556375637507
BaseRepresentation
bin11101101100000101101…
…00010100000111100000
310121112001122212212222001
432312002310110013200
5113203132103013440
62100343422053344
7133462035641206
oct16660264240740
93545048785861
101020102001120
11363693a92964
1214585211a254
137526cb37a67
14375320c1076
151b80642eb9a
hexed82d141e0

1020102001120 has 24 divisors (see below), whose sum is σ = 2409990978024. Its totient is φ = 408040800384.

The previous prime is 1020102001099. The next prime is 1020102001123. The reversal of 1020102001120 is 211002010201.

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 = 1020102001097 and 1020102001106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020102001123) 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 3 ways as a sum of consecutive naturals, for example, 3187818594 + ... + 3187818913.

It is an arithmetic number, because the mean of its divisors is an integer number (100416290751).

Almost surely, 21020102001120 is an apocalyptic number.

1020102001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020102001120 is an abundant number, since it is smaller than the sum of its proper divisors (1389888976904).

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

1020102001120 is an equidigital number, since it uses as much as digits as its factorization.

1020102001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375637522 (or 6375637514 counting only the distinct ones).

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

Adding to 1020102001120 its reverse (211002010201), we get a palindrome (1231104011321).

The spelling of 1020102001120 in words is "one trillion, twenty billion, one hundred two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6375637507 12751275014 25502550028 31878187535 51005100056 63756375070 102010200112 127512750140 204020400224 255025500280 510051000560 1020102001120