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211431401324024 = 23767371911636709
BaseRepresentation
bin110000000100101110110101…
…100100011111110111111000
31000201121122101212222122102112
4300010232311210133313320
5210203043002214332044
62025402124520351452
762351262140326610
oct6004566544376770
91021548355878375
10211431401324024
1161406610051112
121b8689a4615588
1390c8b8480966b
143a2d497941a40
151969c38cc309e
hexc04bb591fdf8

211431401324024 has 128 divisors (see below), whose sum is σ = 454830038784000. Its totient is φ = 90261831389184.

The previous prime is 211431401324021. The next prime is 211431401324063. The reversal of 211431401324024 is 420423104134112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211431401324021) 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, 31514589182 + ... + 31514595890.

It is an arithmetic number, because the mean of its divisors is an integer number (3553359678000).

Almost surely, 2211431401324024 is an apocalyptic number.

It is an amenable number.

211431401324024 is an abundant number, since it is smaller than the sum of its proper divisors (243398637459976).

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

211431401324024 is a wasteful number, since it uses less digits than its factorization.

211431401324024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 211431401324024 its reverse (420423104134112), we get a palindrome (631854505458136).

The spelling of 211431401324024 in words is "two hundred eleven trillion, four hundred thirty-one billion, four hundred one million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 673 719 1163 1346 1438 2326 2692 2876 4652 4711 5033 5384 5752 6709 8141 9304 9422 10066 13418 16282 18844 20132 26836 32564 37688 40264 46963 53672 65128 93926 187852 375704 483887 782699 836197 967774 1565398 1672394 1935548 3130796 3344788 3387209 3871096 4515157 4823771 5478893 5853379 6261592 6689576 6774418 7802567 9030314 9647542 10957786 11706758 13548836 15605134 18060628 19295084 21915572 23413516 27097672 31210268 31606099 33766397 36121256 38590168 43831144 46827032 54617969 62420536 63212198 67532794 109235938 126424396 135065588 218471876 252848792 270131176 436943752 562760581 1125521162 2251042324 3246397883 3939324067 4502084648 5251127591 5610045673 6492795766 7878648134 10502255182 11220091346 12985591532 15757296268 21004510364 22440182692 22724785181 25971183064 31514592536 36757893137 39270319711 42009020728 44880365384 45449570362 73515786274 78540639422 90899140724 147031572548 157081278844 181798281448 294063145096 314162557688 3775560737929 7551121475858 15102242951716 26428925165503 30204485903432 52857850331006 105715700662012 211431401324024