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21210012212112 = 24331013931123661
BaseRepresentation
bin1001101001010010101110…
…01111100101101110010000
32210002122202012220200122000
410310221113033211232100
510240001101111241422
6113035424535114000
74316241606101463
oct464512717455620
983078665820560
1021210012212112
11683812aa4a299
122466786212900
13bab131c735b9
145347da3a72da
1526bac3a42cac
hex134a573e5b90

21210012212112 has 160 divisors (see below), whose sum is σ = 61499506696320. Its totient is φ = 6998166720000.

The previous prime is 21210012212099. The next prime is 21210012212149. The reversal of 21210012212112 is 21121221001212.

21210012212112 is a `hidden beast` number, since 21 + 210 + 0 + 1 + 221 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171455562 + ... + 171579222.

It is an arithmetic number, because the mean of its divisors is an integer number (384371916852).

Almost surely, 221210012212112 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 21210012212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30749753348160).

21210012212112 is an abundant number, since it is smaller than the sum of its proper divisors (40289494484208).

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

21210012212112 is a wasteful number, since it uses less digits than its factorization.

21210012212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127710 (or 127698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21210012212112 its reverse (21121221001212), we get a palindrome (42331233213324).

The spelling of 21210012212112 in words is "twenty-one trillion, two hundred ten billion, twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 3636 3931 4848 5454 7272 7862 10908 11793 14544 15724 21816 23586 31448 35379 43632 47172 62896 70758 94344 106137 123661 141516 188688 212274 247322 283032 370983 397031 424548 494644 566064 741966 794062 849096 989288 1112949 1191093 1483932 1588124 1698192 1978576 2225898 2382186 2967864 3176248 3338847 3573279 4451796 4764372 5935728 6352496 6677694 7146558 8903592 9528744 10719837 12489761 13355388 14293116 17807184 19057488 21439674 24979522 26710776 28586232 37469283 42879348 49959044 53421552 57172464 74938566 85758696 99918088 112407849 149877132 171517392 199836176 224815698 299754264 337223547 449631396 486111391 599508528 674447094 899262792 972222782 1348894188 1458334173 1798525584 1944445564 2697788376 2916668346 3888891128 4375002519 5395576752 5833336692 7777782256 8750005038 11666673384 13125007557 17500010076 23333346768 26250015114 35000020152 49097250491 52500030228 70000040304 98194500982 105000060456 147291751473 196389001964 210000120912 294583502946 392778003928 441875254419 589167005892 785556007856 883750508838 1178334011784 1325625763257 1767501017676 2356668023568 2651251526514 3535002035352 5302503053028 7070004070704 10605006106056 21210012212112