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211002032021000 = 235311127151039393
BaseRepresentation
bin101111111110011110111101…
…001010100101111000001000
31000200002121010101220002122212
4233332132331022211320020
5210124024130144133000
62024432554554204252
762305252024426463
oct5776367512457010
91020077111802585
10211002032021000
116126050629a760
121b7b9735723688
13909753868c10c
143a167a4dcc2da
15195d9a8d33c35
hexbfe7bd2a5e08

211002032021000 has 128 divisors (see below), whose sum is σ = 542871831490560. Its totient is φ = 76123853568000.

The previous prime is 211002032020961. The next prime is 211002032021003. The reversal of 211002032021000 is 120230200112.

It is a happy number.

It is a super-2 number, since 2×2110020320210002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211002032021003) 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, 74122697 + ... + 76916696.

It is an arithmetic number, because the mean of its divisors is an integer number (4241186183520).

Almost surely, 2211002032021000 is an apocalyptic number.

211002032021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002032021000 is an abundant number, since it is smaller than the sum of its proper divisors (331869799469560).

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

211002032021000 is a wasteful number, since it uses less digits than its factorization.

211002032021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151039552 (or 151039538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 211002032021000 its reverse (120230200112), we get a palindrome (211122262221112).

The spelling of 211002032021000 in words is "two hundred eleven trillion, two billion, thirty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 127 200 220 250 254 275 440 500 508 550 635 1000 1016 1100 1270 1375 1397 2200 2540 2750 2794 3175 5080 5500 5588 6350 6985 11000 11176 12700 13970 15875 25400 27940 31750 34925 55880 63500 69850 127000 139700 174625 279400 349250 698500 1397000 151039393 302078786 604157572 755196965 1208315144 1510393930 1661433323 3020787860 3322866646 3775984825 6041575720 6645733292 7551969650 8307166615 13291466584 15103939300 16614333230 18879924125 19182002911 30207878600 33228666460 37759848250 38364005822 41535833075 66457332920 75519696500 76728011644 83071666150 95910014555 151039393000 153456023288 166143332300 191820029110 207679165375 211002032021 332286664600 383640058220 415358330750 422004064042 479550072775 767280116440 830716661500 844008128084 959100145550 1055010160105 1661433323000 1688016256168 1918200291100 2110020320210 2397750363875 3836400582200 4220040640420 4795500727750 5275050800525 8440081280840 9591001455500 10550101601050 19182002911000 21100203202100 26375254002625 42200406404200 52750508005250 105501016010500 211002032021000