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301020100131222 = 23233195038667941
BaseRepresentation
bin100010001110001101011010…
…0001000110111100110010110
31110110211020111100022110210200
41010130122310020313212112
5303423403131113144342
62544114420330201330
7120255661461512553
oct10434326410674626
91413736440273720
10301020100131222
1187a069a8a4550a
1229917866583246
13cbc70c5a36714
14544964458ba2a
1524c0354a1e94c
hex111c6b4237996

301020100131222 has 24 divisors (see below), whose sum is σ = 652406725130160. Its totient is φ = 100309801349520.

The previous prime is 301020100131193. The next prime is 301020100131239. The reversal of 301020100131222 is 222131001020103.

301020100131222 is a `hidden beast` number, since 301 + 0 + 2 + 0 + 10 + 0 + 131 + 222 = 666.

It is a super-2 number, since 2×3010201001312222 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 301020100131195 and 301020100131204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2519274229 + ... + 2519393712.

It is an arithmetic number, because the mean of its divisors is an integer number (27183613547090).

Almost surely, 2301020100131222 is an apocalyptic number.

301020100131222 is an abundant number, since it is smaller than the sum of its proper divisors (351386624998938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301020100131222 is a wasteful number, since it uses less digits than its factorization.

301020100131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038671268 (or 5038671265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 301020100131222 its reverse (222131001020103), we get a palindrome (523151101151325).

The spelling of 301020100131222 in words is "three hundred one trillion, twenty billion, one hundred million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 3319 6638 9957 19914 29871 59742 5038667941 10077335882 15116003823 30232007646 45348011469 90696022938 16723338896179 33446677792358 50170016688537 100340033377074 150510050065611 301020100131222