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102121424321 = 723679467083
BaseRepresentation
bin101111100011011101…
…0010100010111000001
3100202121000110212022212
41133012322110113001
53133121041034241
6114525224311505
710243443533030
oct1370672242701
9322530425285
10102121424321
113a344977644
1217960312595
13982618c0c7
144d2aac6717
1529ca5d4beb
hex17c6e945c1

102121424321 has 16 divisors (see below), whose sum is σ = 123602248704. Its totient is φ = 82477218384.

The previous prime is 102121424299. The next prime is 102121424351. The reversal of 102121424321 is 123424121201.

It is a cyclic number.

It is not a de Polignac number, because 102121424321 - 210 = 102121423297 is a prime.

It is a super-2 number, since 2×1021214243212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102121424351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4722755 + ... + 4744328.

It is an arithmetic number, because the mean of its divisors is an integer number (7725140544).

Almost surely, 2102121424321 is an apocalyptic number.

It is an amenable number.

102121424321 is a deficient number, since it is larger than the sum of its proper divisors (21480824383).

102121424321 is an equidigital number, since it uses as much as digits as its factorization.

102121424321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467180.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 102121424321 its reverse (123424121201), we get a palindrome (225545545522).

The spelling of 102121424321 in words is "one hundred two billion, one hundred twenty-one million, four hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 7 23 67 161 469 1541 10787 9467083 66269581 217742909 634294561 1524200363 4440061927 14588774903 102121424321