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211421023120 = 2454164457629
BaseRepresentation
bin1100010011100110101…
…1001100101110010000
3202012201021221202212201
43010321223030232100
511430442240214440
6241043034132544
721163132021336
oct3047153145620
9665637852781
10211421023120
118173272398a
1234b84581154
1316c24539118
14a338c69b56
155775e7b19a
hex3139accb90

211421023120 has 40 divisors (see below), whose sum is σ = 503543005560. Its totient is φ = 82505763840.

The previous prime is 211421023117. The next prime is 211421023123. The reversal of 211421023120 is 21320124112.

It is an interprime number because it is at equal distance from previous prime (211421023117) and next prime (211421023123).

It can be written as a sum of positive squares in 4 ways, for example, as 23401656576 + 188019366544 = 152976^2 + 433612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (211421023123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32225535 + ... + 32232094.

It is an arithmetic number, because the mean of its divisors is an integer number (12588575139).

Almost surely, 2211421023120 is an apocalyptic number.

211421023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211421023120 is an abundant number, since it is smaller than the sum of its proper divisors (292121982440).

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

211421023120 is a wasteful number, since it uses less digits than its factorization.

211421023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64457683 (or 64457677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 211421023120 its reverse (21320124112), we get a palindrome (232741147232).

The spelling of 211421023120 in words is "two hundred eleven billion, four hundred twenty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 64457629 128915258 257830516 322288145 515661032 644576290 1031322064 1289152580 2578305160 2642762789 5156610320 5285525578 10571051156 13213813945 21142102312 26427627890 42284204624 52855255780 105710511560 211421023120