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1020421340401 = 9712178644049
BaseRepresentation
bin11101101100101011101…
…10011111110011110001
310121112212220210000002211
432312111312133303301
5113204310330343101
62100435230412121
7133502664165421
oct16662566376361
93545786700084
101020421340401
11363838276221
12145921061041
13752c1047308
143756268a481
151b8244adc51
hexed95d9fcf1

1020421340401 has 8 divisors (see below), whose sum is σ = 1031788384200. Its totient is φ = 1009071587328.

The previous prime is 1020421340369. The next prime is 1020421340447. The reversal of 1020421340401 is 1040431240201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 287163087376 + 733258253025 = 535876^2 + 856305^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020421340401 - 25 = 1020421340369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020421346401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4203976 + ... + 4440073.

It is an arithmetic number, because the mean of its divisors is an integer number (128973548025).

Almost surely, 21020421340401 is an apocalyptic number.

It is an amenable number.

1020421340401 is a deficient number, since it is larger than the sum of its proper divisors (11367043799).

1020421340401 is an equidigital number, since it uses as much as digits as its factorization.

1020421340401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8645363.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1020421340401 its reverse (1040431240201), we get a palindrome (2060852580602).

The spelling of 1020421340401 in words is "one trillion, twenty billion, four hundred twenty-one million, three hundred forty thousand, four hundred one".

Divisors: 1 97 1217 118049 8644049 838472753 10519807633 1020421340401