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100220031301 = 1313697562841
BaseRepresentation
bin101110101010110010…
…1000101000101000101
3100120200111200002110011
41131111211011011011
53120222312000201
6114012423030221
710145355132115
oct1352545050505
9316614602404
10100220031301
113955965a955
121750b59b371
1395b228b490
144bca379045
1529186ee151
hex1755945145

100220031301 has 8 divisors (see below), whose sum is σ = 107937336024. Its totient is φ = 92503879680.

The previous prime is 100220031281. The next prime is 100220031319. The reversal of 100220031301 is 103130022001.

It can be written as a sum of positive squares in 4 ways, for example, as 12367664100 + 87852367201 = 111210^2 + 296399^2 .

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 100220031301 - 223 = 100211642693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220031701) 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, 103360 + ... + 459481.

It is an arithmetic number, because the mean of its divisors is an integer number (13492167003).

Almost surely, 2100220031301 is an apocalyptic number.

It is an amenable number.

100220031301 is a deficient number, since it is larger than the sum of its proper divisors (7717304723).

100220031301 is a wasteful number, since it uses less digits than its factorization.

100220031301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576551.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100220031301 its reverse (103130022001), we get a palindrome (203350053302).

The spelling of 100220031301 in words is "one hundred billion, two hundred twenty million, thirty-one thousand, three hundred one".

Divisors: 1 13 13697 178061 562841 7316933 7709233177 100220031301