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300132211001133 = 37313739731386247
BaseRepresentation
bin100010000111101111111100…
…1110100101000011100101101
31110100200100200211021022211210
41010033133321310220130231
5303314331232004014013
62542154500112505033
7120134556656442630
oct10417377164503455
91410610624238753
10300132211001133
11876a43a0752515
12297b377224b179
13cb61466390434
145418695803c17
1524a71da863cc3
hex110f7f9d2872d

300132211001133 has 64 divisors (see below), whose sum is σ = 486078069506048. Its totient is φ = 161079236271360.

The previous prime is 300132211001123. The next prime is 300132211001143. The reversal of 300132211001133 is 331100112231003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (300132211001123) and next prime (300132211001143).

It is not a de Polignac number, because 300132211001133 - 28 = 300132211000877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300132211001123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6130585 + ... + 25255662.

It is an arithmetic number, because the mean of its divisors is an integer number (7594969836032).

Almost surely, 2300132211001133 is an apocalyptic number.

It is an amenable number.

300132211001133 is a deficient number, since it is larger than the sum of its proper divisors (185945858504915).

300132211001133 is a wasteful number, since it uses less digits than its factorization.

300132211001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31386722.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 300132211001133 its reverse (331100112231003), we get a palindrome (631232323232136).

The spelling of 300132211001133 in words is "three hundred trillion, one hundred thirty-two billion, two hundred eleven million, one thousand, one hundred thirty-three".

Divisors: 1 3 7 21 31 37 93 111 217 259 397 651 777 1147 1191 2779 3441 8029 8337 12307 14689 24087 36921 44067 86149 102823 258447 308469 455359 1366077 3187513 9562539 31386247 94158741 219703729 659111187 972973657 1161291139 2918920971 3483873417 6810815599 8129037973 12460340059 20432446797 24387113919 36000025309 37381020177 87222380413 108000075927 252000177163 261667141239 386270541829 461032582183 756000531489 1158811625487 1383097746549 2703893792803 3227228075281 8111681378409 9681684225843 14292010047673 42876030143019 100044070333711 300132211001133