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100202102021 = 714996071047
BaseRepresentation
bin101110101010010000…
…0101011110100000101
3100120122020221012002202
41131110200223310011
53120203214231041
6114010542444245
710145046546140
oct1352440536405
9316566835082
10100202102021
113954a52436a
1217505593685
1395ab651738
144bc7c2d057
152916d5ba9b
hex175482bd05

100202102021 has 8 divisors (see below), whose sum is σ = 115285257600. Its totient is φ = 85311088848.

The previous prime is 100202101991. The next prime is 100202102027. The reversal of 100202102021 is 120201202001.

It is a happy number.

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 100202102021 - 218 = 100201839877 is a prime.

It is a super-2 number, since 2×1002021020212 (a number of 23 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 = 100202101993 and 100202102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202102027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48034481 + ... + 48036566.

It is an arithmetic number, because the mean of its divisors is an integer number (14410657200).

Almost surely, 2100202102021 is an apocalyptic number.

It is an amenable number.

100202102021 is a deficient number, since it is larger than the sum of its proper divisors (15083155579).

100202102021 is an equidigital number, since it uses as much as digits as its factorization.

100202102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96071203.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100202102021 its reverse (120201202001), we get a palindrome (220403304022).

The spelling of 100202102021 in words is "one hundred billion, two hundred two million, one hundred two thousand, twenty-one".

Divisors: 1 7 149 1043 96071047 672497329 14314586003 100202102021