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1020121353040 = 24512751516913
BaseRepresentation
bin11101101100000111111…
…10001000101101010000
310121112010000022001210211
432312003332020231100
5113203202031244130
62100345352533504
7133462362300616
oct16660376105520
93545100261724
101020121353040
113636a3a00289
121458586b1294
1375273b521ba
14375348bb6b6
151b807ea3a2a
hexed83f88b50

1020121353040 has 20 divisors (see below), whose sum is σ = 2371782146004. Its totient is φ = 408048541184.

The previous prime is 1020121353037. The next prime is 1020121353077. The reversal of 1020121353040 is 403531210201.

It is a happy number.

1020121353040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 149005264144 + 871116088896 = 386012^2 + 933336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6375758377 + ... + 6375758536.

Almost surely, 21020121353040 is an apocalyptic number.

1020121353040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020121353040 is an abundant number, since it is smaller than the sum of its proper divisors (1351660792964).

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

1020121353040 is a wasteful number, since it uses less digits than its factorization.

1020121353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751516926 (or 12751516920 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 1020121353040 its reverse (403531210201), we get a palindrome (1423652563241).

The spelling of 1020121353040 in words is "one trillion, twenty billion, one hundred twenty-one million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12751516913 25503033826 51006067652 63757584565 102012135304 127515169130 204024270608 255030338260 510060676520 1020121353040