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21022212101220 = 223251113976383301
BaseRepresentation
bin1001100011110100111010…
…11111000001010001100100
32202102201000002212120210100
410301322131133001101210
510223411442244214340
6112413245415024100
74266543004354341
oct461723537012144
982381002776710
1021022212101220
116775519757380
1224362b436b030
13b96503334925
145296a26977c8
15266c81675830
hex131e9d7c1464

21022212101220 has 144 divisors (see below), whose sum is σ = 70064875258560. Its totient is φ = 5059629792000.

The previous prime is 21022212101203. The next prime is 21022212101257. The reversal of 21022212101220 is 2210121222012.

It is a happy number.

21022212101220 is a `hidden beast` number, since 2 + 10 + 2 + 221 + 210 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21022212101193 and 21022212101202.

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, 37916431 + ... + 38466870.

It is an arithmetic number, because the mean of its divisors is an integer number (486561633740).

Almost surely, 221022212101220 is an apocalyptic number.

21022212101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022212101220 is an abundant number, since it is smaller than the sum of its proper divisors (49042663157340).

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

21022212101220 is a wasteful number, since it uses less digits than its factorization.

21022212101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76383466 (or 76383461 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21022212101220 its reverse (2210121222012), we get a palindrome (23232333323232).

The spelling of 21022212101220 in words is "twenty-one trillion, twenty-two billion, two hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 139 165 180 198 220 278 330 396 417 495 556 660 695 834 990 1251 1390 1529 1668 1980 2085 2502 2780 3058 4170 4587 5004 6116 6255 7645 8340 9174 12510 13761 15290 18348 22935 25020 27522 30580 45870 55044 68805 91740 137610 275220 76383301 152766602 229149903 305533204 381916505 458299806 687449709 763833010 840216311 916599612 1145749515 1374899418 1527666020 1680432622 2291499030 2520648933 2749798836 3360865244 3437248545 4201081555 4582998060 5041297866 6874497090 7561946799 8402163110 10082595732 10617278839 12603244665 13748994180 15123893598 16804326220 21234557678 25206489330 30247787196 31851836517 37809733995 42469115356 50412978660 53086394195 63703673034 75619467990 95555509551 106172788390 116790067229 127407346068 151238935980 159259182585 191111019102 212345576780 233580134458 318518365170 350370201687 382222038204 467160268916 477777547755 583950336145 637036730340 700740403374 955555095510 1051110605061 1167900672290 1401480806748 1751851008435 1911110191020 2102221210122 2335801344580 3503702016870 4204442420244 5255553025305 7007404033740 10511106050610 21022212101220