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21212000120100 = 22352142966077489
BaseRepresentation
bin1001101001010110011011…
…01110110110110100100100
32210002211212202111212201210
410310223031232312310210
510240014134012320400
6113040354110551420
74316342065041546
oct464531556666444
983084782455653
1021212000120100
116838a60087a59
12246703bb08570
13bab38aa75b0a
145349483d5696
1526bb8d317950
hex134acdbb6d24

21212000120100 has 144 divisors (see below), whose sum is σ = 61433833260800. Its totient is φ = 5650964766720.

The previous prime is 21212000120083. The next prime is 21212000120131. The reversal of 21212000120100 is 102100021212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2832417156 + ... + 2832424644.

Almost surely, 221212000120100 is an apocalyptic number.

21212000120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212000120100 is an abundant number, since it is smaller than the sum of its proper divisors (40221833140700).

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

21212000120100 is a wasteful number, since it uses less digits than its factorization.

21212000120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15542 (or 15535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21212000120100 its reverse (102100021212), we get a palindrome (21314100141312).

The spelling of 21212000120100 in words is "twenty-one trillion, two hundred twelve billion, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1429 2858 4287 5716 6607 7145 7489 8574 13214 14290 14978 17148 19821 21435 22467 26428 28580 29956 33035 35725 37445 39642 42870 44934 66070 71450 74890 79284 85740 89868 99105 107175 112335 132140 142900 149780 165175 187225 198210 214350 224670 330350 374450 396420 428700 449340 495525 561675 660700 748900 991050 1123350 1982100 2246700 9441403 10701781 18882806 21403562 28324209 32105343 37765612 42807124 47207015 49479823 53508905 56648418 64210686 94414030 98959646 107017810 113296836 128421372 141621045 148439469 160526715 188828060 197919292 214035620 236035075 247399115 267544525 283242090 296878938 321053430 472070150 494798230 535089050 566484180 593757876 642106860 708105225 742197345 802633575 944140300 989596460 1070178100 1236995575 1416210450 1484394690 1605267150 2473991150 2832420900 2968789380 3210534300 3710986725 4947982300 7421973450 14843946900 70706667067 141413334134 212120001201 282826668268 353533335335 424240002402 707066670670 848480004804 1060600006005 1414133341340 1767666676675 2121200012010 3535333353350 4242400024020 5303000030025 7070666706700 10606000060050 21212000120100