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211021132300032 = 2834320033190181
BaseRepresentation
bin101111111110110000101111…
…101000010111111100000000
31000200011102102112102210202210
4233332300233220113330000
5210124332234332100112
62024445434143342120
762306526243216255
oct5776605750277400
91020142375383683
10211021132300032
116126861796802a
121b8013862b1940
13909929083a382
143a176979cb42c
15195e225acab3c
hexbfec2fa17f00

211021132300032 has 144 divisors (see below), whose sum is σ = 574972065537408. Its totient is φ = 68670232350720.

The previous prime is 211021132299997. The next prime is 211021132300057. The reversal of 211021132300032 is 230003231120112.

It is a junction number, because it is equal to n+sod(n) for n = 211021132299981 and 211021132300008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64551982 + ... + 67742162.

It is an arithmetic number, because the mean of its divisors is an integer number (3992861566232).

Almost surely, 2211021132300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211021132300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287486032768704).

211021132300032 is an abundant number, since it is smaller than the sum of its proper divisors (363950933237376).

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

211021132300032 is a wasteful number, since it uses less digits than its factorization.

211021132300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192246 (or 3192232 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211021132300032 its reverse (230003231120112), we get a palindrome (441024363420144).

The spelling of 211021132300032 in words is "two hundred eleven trillion, twenty-one billion, one hundred thirty-two million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2003 2064 2752 4006 4128 5504 6009 8012 8256 11008 12018 16024 16512 24036 32048 33024 48072 64096 86129 96144 128192 172258 192288 256384 258387 344516 384576 512768 516774 689032 769152 1033548 1378064 1538304 2067096 2756128 3190181 4134192 5512256 6380362 8268384 9570543 11024512 12760724 16536768 19141086 22049024 25521448 33073536 38282172 51042896 66147072 76564344 102085792 137177783 153128688 204171584 274355566 306257376 408343168 411533349 548711132 612514752 816686336 823066698 1097422264 1225029504 1646133396 2194844528 2450059008 3292266792 4389689056 6389932543 6584533584 8779378112 12779865086 13169067168 17558756224 19169797629 25559730172 26338134336 35117512448 38339595258 51119460344 52676268672 76679190516 102238920688 105352537344 153358381032 204477841376 274767099349 306716762064 408955682752 549534198698 613433524128 817911365504 824301298047 1099068397396 1226867048256 1635822731008 1648602596094 2198136794792 2453734096512 3297205192188 4396273589584 4907468193024 6594410384376 8792547179168 13188820768752 17585094358336 26377641537504 35170188716672 52755283075008 70340377433344 105510566150016 211021132300032