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21210001210112 = 2811133607160627
BaseRepresentation
bin1001101001010010101101…
…00101100111101100000000
32210002122201110012201201112
410310221112211213230000
510240001040302210422
6113035423503222452
74316241413426621
oct464512645475400
983078643181645
1021210001210112
116838124815330
1224667825a7a28
13bab12c8c0940
145347d8b41a48
1526bac2abcee2
hex134a56967b00

21210001210112 has 144 divisors (see below), whose sum is σ = 49752849898752. Its totient is φ = 8896778588160.

The previous prime is 21210001210061. The next prime is 21210001210169. The reversal of 21210001210112 is 21101210001212.

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, 131964743 + ... + 132125369.

Almost surely, 221210001210112 is an apocalyptic number.

21210001210112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210001210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24876424949376).

21210001210112 is an abundant number, since it is smaller than the sum of its proper divisors (28542848688640).

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

21210001210112 is a wasteful number, since it uses less digits than its factorization.

21210001210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164274 (or 164260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21210001210112 its reverse (21101210001212), we get a palindrome (42311211211324).

The spelling of 21210001210112 in words is "twenty-one trillion, two hundred ten billion, one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 2288 2816 3328 3607 4576 7214 9152 14428 18304 28856 36608 39677 46891 57712 79354 93782 115424 158708 160627 187564 230848 317416 321254 375128 461696 515801 634832 642508 750256 923392 1031602 1269664 1285016 1500512 1766897 2063204 2088151 2539328 2570032 3001024 3533794 4126408 4176302 5078656 5140064 6002048 7067588 8252816 8352604 10157312 10280128 12004096 14135176 16505632 16705208 20560256 22969661 28270352 33011264 33410416 41120512 45939322 56540704 66022528 66820832 91878644 113081408 132045056 133641664 183757288 226162816 267283328 367514576 452325632 534566656 579381589 735029152 1158763178 1470058304 2317526356 2940116608 4635052712 5880233216 6373197479 7531960657 9270105424 12746394958 15063921314 18540210848 25492789916 30127842628 37080421696 50985579832 60255685256 74160843392 82851567227 101971159664 120511370512 148321686784 165703134454 203942319328 241022741024 331406268908 407884638656 482045482048 662812537816 815769277312 964090964096 1325625075632 1631538554624 1928181928192 2651250151264 5302500302528 10605000605056 21210001210112