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102121301 = 532816857
BaseRepresentation
bin1100001011000…
…11111101010101
321010011022002102
412011203331111
5202120340201
614044451445
72350005512
oct605437525
9233138072
10102121301
1152710277
122a249b85
1318207209
14d7c4309
158e7326b
hex6163f55

102121301 has 8 divisors (see below), whose sum is σ = 104433624. Its totient is φ = 99823360.

The previous prime is 102121273. The next prime is 102121303. The reversal of 102121301 is 103121201.

It can be written as a sum of positive squares in 4 ways, for example, as 6100900 + 96020401 = 2470^2 + 9799^2 .

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 102121301 - 26 = 102121237 is a prime.

It is a super-3 number, since 3×1021213013 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121303) 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, 11465 + ... + 18321.

It is an arithmetic number, because the mean of its divisors is an integer number (13054203).

Almost surely, 2102121301 is an apocalyptic number.

It is an amenable number.

102121301 is a deficient number, since it is larger than the sum of its proper divisors (2312323).

102121301 is an equidigital number, since it uses as much as digits as its factorization.

102121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102121301 is about 10105.5084483662. The cubic root of 102121301 is about 467.4180145439.

Adding to 102121301 its reverse (103121201), we get a palindrome (205242502).

It can be divided in two parts, 1021 and 21301, that added together give a palindrome (22322).

The spelling of 102121301 in words is "one hundred two million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 53 281 6857 14893 363421 1926817 102121301