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211423123120 = 245111092204161
BaseRepresentation
bin1100010011100111001…
…1001101011010110000
3202012201102220110112111
43010321303031122300
511430443304414440
6241043151135104
721163155615646
oct3047163153260
9665642813474
10211423123120
1181733928720
1234b85214494
1316c24ac2c21
14a339255196
1557762434ea
hex3139ccd6b0

211423123120 has 80 divisors (see below), whose sum is σ = 541165854240. Its totient is φ = 76175769600.

The previous prime is 211423123073. The next prime is 211423123129. The reversal of 211423123120 is 21321324112.

211423123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211423123091 and 211423123100.

It is not an unprimeable number, because it can be changed into a prime (211423123129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006161 + ... + 1198000.

It is an arithmetic number, because the mean of its divisors is an integer number (6764573178).

Almost surely, 2211423123120 is an apocalyptic number.

211423123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211423123120 is an abundant number, since it is smaller than the sum of its proper divisors (329742731120).

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

211423123120 is a wasteful number, since it uses less digits than its factorization.

211423123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204294 (or 2204288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211423123120 its reverse (21321324112), we get a palindrome (232744447232).

The spelling of 211423123120 in words is "two hundred eleven billion, four hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 436 440 545 872 880 1090 1199 1744 2180 2398 4360 4796 5995 8720 9592 11990 19184 23980 47960 95920 2204161 4408322 8816644 11020805 17633288 22041610 24245771 35266576 44083220 48491542 88166440 96983084 121228855 176332880 193966168 240253549 242457710 387932336 480507098 484915420 961014196 969830840 1201267745 1922028392 1939661680 2402535490 2642789039 3844056784 4805070980 5285578078 9610141960 10571156156 13213945195 19220283920 21142312312 26427890390 42284624624 52855780780 105711561560 211423123120