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211042133451324 = 223372753910136761
BaseRepresentation
bin101111111111000100010011…
…011001011010001000111100
31000200020102122010210211102000
4233333010103121122020330
5210130203242130420244
62024503230115102300
762311201543110510
oct5777042331321074
91020212563724360
10211042133451324
116127651452690a
121b8054675a1990
13909b259766206
143a186cac40140
15195ea546a4169
hexbff11365a23c

211042133451324 has 96 divisors (see below), whose sum is σ = 625332793075200. Its totient is φ = 60295556926080.

The previous prime is 211042133451323. The next prime is 211042133451367. The reversal of 211042133451324 is 423154331240112.

211042133451324 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 4 + 2 + 133 + 4 + 513 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211042133451323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15751104 + ... + 25887864.

It is an arithmetic number, because the mean of its divisors is an integer number (6513883261200).

Almost surely, 2211042133451324 is an apocalyptic number.

It is an amenable number.

211042133451324 is an abundant number, since it is smaller than the sum of its proper divisors (414290659623876).

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

211042133451324 is a wasteful number, since it uses less digits than its factorization.

211042133451324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10164320 (or 10164312 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 211042133451324 its reverse (423154331240112), we get a palindrome (634196464691436).

The spelling of 211042133451324 in words is "two hundred eleven trillion, forty-two billion, one hundred thirty-three million, four hundred fifty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 27539 55078 82617 110156 165234 192773 247851 330468 385546 495702 578319 743553 771092 991404 1156638 1487106 1734957 2313276 2974212 3469914 5204871 6939828 10136761 10409742 20273522 20819484 30410283 40547044 60820566 70957327 91230849 121641132 141914654 182461698 212871981 273692547 283829308 364923396 425743962 547385094 638615943 851487924 1094770188 1277231886 1915847829 2554463772 3831695658 7663391316 279156261179 558312522358 837468783537 1116625044716 1674937567074 1954093828253 2512406350611 3349875134148 3908187656506 5024812701222 5862281484759 7537219051833 7816375313012 10049625402444 11724562969518 15074438103666 17586844454277 23449125939036 30148876207332 35173688908554 52760533362831 70347377817108 105521066725662 211042133451324