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212101120022020 = 225711996771108697
BaseRepresentation
bin110000001110011110100011…
…111010100101011000000100
31000210222200001201212111222121
4300032132203322211120010
5210300031043211201040
62031033524232335324
762450541323332045
oct6016364372453004
91023880051774877
10212101120022020
1161644641873389
121b95674bb44544
13914708552c308
143a53a6b2d48cc
15197c3846d7c4a
hexc0e7a3ea5604

212101120022020 has 96 divisors (see below), whose sum is σ = 454626493171200. Its totient is φ = 83102175636480.

The previous prime is 212101120022009. The next prime is 212101120022021. The reversal of 212101120022020 is 20220021101212.

It is a happy number.

It is a super-2 number, since 2×2121011200220202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212101120021985 and 212101120022003.

It is not an unprimeable number, because it can be changed into a prime (212101120022021) 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, 190752312 + ... + 191861008.

It is an arithmetic number, because the mean of its divisors is an integer number (4735692637200).

Almost surely, 2212101120022020 is an apocalyptic number.

212101120022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101120022020 is an abundant number, since it is smaller than the sum of its proper divisors (242525373149180).

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

212101120022020 is a wasteful number, since it uses less digits than its factorization.

212101120022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109653 (or 1109651 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212101120022020 its reverse (20220021101212), we get a palindrome (232321141123232).

The spelling of 212101120022020 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 71 142 199 284 355 398 677 710 796 995 1354 1420 1990 2708 3385 3980 6770 13540 14129 28258 48067 56516 70645 96134 134723 141290 192268 240335 269446 282580 480670 538892 673615 961340 1108697 1347230 2217394 2694460 4434788 5543485 9565333 11086970 19130666 22173940 38261332 47826665 78717487 95653330 157434974 191306660 220630703 314869948 393587435 441261406 750587869 787174870 882522812 1103153515 1501175738 1574349740 2206307030 3002351476 3752939345 4412614060 7505878690 15011757380 15664779913 31329559826 53291738699 62659119652 78323899565 106583477398 149366985931 156647799130 213166954796 266458693495 298733971862 313295598260 532917386990 597467943724 746834929655 1065834773980 1493669859310 2987339718620 10605056001101 21210112002202 42420224004404 53025280005505 106050560011010 212101120022020