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1334202100 = 2252711173273
BaseRepresentation
bin100111110000110…
…0100111011110100
310102222112111012121
41033201210323310
510213023431400
6340220325324
745030350020
oct11741447364
93388474177
101334202100
11625138870
123129a3844
131835517ca
14c92a5380
157c1e921a
hex4f864ef4

1334202100 has 72 divisors (see below), whose sum is σ = 3609643968. Its totient is φ = 415852800.

The previous prime is 1334202091. The next prime is 1334202169. The reversal of 1334202100 is 12024331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 78937 + ... + 94336.

It is an arithmetic number, because the mean of its divisors is an integer number (50133944).

Almost surely, 21334202100 is an apocalyptic number.

1334202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334202100 is an abundant number, since it is smaller than the sum of its proper divisors (2275441868).

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

1334202100 is a wasteful number, since it uses less digits than its factorization.

1334202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173305 (or 173298 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1334202100 is about 36526.7313073590. The cubic root of 1334202100 is about 1100.8814147580.

Adding to 1334202100 its reverse (12024331), we get a palindrome (1346226431).

The spelling of 1334202100 in words is "one billion, three hundred thirty-four million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 173273 346546 693092 866365 1212911 1732730 1906003 2425822 3465460 3812006 4331825 4851644 6064555 7624012 8663650 9530015 12129110 13342021 17327300 19060030 24258220 26684042 30322775 38120060 47650075 53368084 60645550 66710105 95300150 121291100 133420210 190600300 266840420 333550525 667101050 1334202100