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1021020011021 = 3763977431329
BaseRepresentation
bin11101101101110011000…
…10001111101000001101
310121121102122021121210202
432312321202033220031
5113212022110323041
62101014454143245
7133523553620003
oct16667142175015
93547378247722
101021020011021
113640151a632a
12145a69651b25
1375388098a9a
14375bbda8a73
151b85bd17a9b
hexedb988fa0d

1021020011021 has 8 divisors (see below), whose sum is σ = 1048633968120. Its totient is φ = 993407044608.

The previous prime is 1021020011003. The next prime is 1021020011027. The reversal of 1021020011021 is 1201100201201.

It can be written as a sum of positive squares in 4 ways, for example, as 689462854921 + 331557156100 = 830339^2 + 575810^2 .

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 1021020011021 - 26 = 1021020010957 is a prime.

It is a super-2 number, since 2×10210200110212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1021020010993 and 1021020011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021020011027) 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, 2151485 + ... + 2582813.

It is an arithmetic number, because the mean of its divisors is an integer number (131079246015).

Almost surely, 21021020011021 is an apocalyptic number.

It is an amenable number.

1021020011021 is a deficient number, since it is larger than the sum of its proper divisors (27613957099).

1021020011021 is an equidigital number, since it uses as much as digits as its factorization.

1021020011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495343.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1021020011021 its reverse (1201100201201), we get a palindrome (2222120212222).

The spelling of 1021020011021 in words is "one trillion, twenty-one billion, twenty million, eleven thousand, twenty-one".

Divisors: 1 37 63977 431329 2367149 15959173 27595135433 1021020011021