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101212210220220 = 2232511232222490343
BaseRepresentation
bin10111000000110101001101…
…110101100100110010111100
3111021100210101221201002112200
4113000311031311210302330
5101231230101304021340
6555132125242431500
730214224631044051
oct2700651565446274
9437323357632480
10101212210220220
112a281948088460
12b427730502590
1344623692ba618
141adc9a8c3b028
15ba7b66403330
hex5c0d4dd64cbc

101212210220220 has 144 divisors (see below), whose sum is σ = 349482161613312. Its totient is φ = 23469498011520.

The previous prime is 101212210220137. The next prime is 101212210220279. The reversal of 101212210220220 is 22022012212101.

It is a happy number.

101212210220220 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 221 + 0 + 220 + 220 = 666.

It is a super-2 number, since 2×1012122102202202 (a number of 29 digits) contains 22 as substring.

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 = 101212210220193 and 101212210220202.

It is a congruent number.

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, 1111199632 + ... + 1111290711.

It is an arithmetic number, because the mean of its divisors is an integer number (2426959455648).

Almost surely, 2101212210220220 is an apocalyptic number.

101212210220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212210220220 is an abundant number, since it is smaller than the sum of its proper divisors (248269951393092).

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

101212210220220 is a wasteful number, since it uses less digits than its factorization.

101212210220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222490392 (or 2222490387 counting only the distinct ones).

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

Adding to 101212210220220 its reverse (22022012212101), we get a palindrome (123234222432321).

The spelling of 101212210220220 in words is "one hundred one trillion, two hundred twelve billion, two hundred ten million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 2222490343 4444980686 6667471029 8889961372 11112451715 13334942058 20002413087 22224903430 24447393773 26669884116 33337355145 40004826174 44449806860 48894787546 51117277889 66674710290 73342181319 80009652348 97789575092 100012065435 102234555778 122236968865 133349420580 146684362638 153351833667 200024130870 204469111556 220026543957 244473937730 255586389445 293368725276 306703667334 366710906595 400048261740 440053087914 460055501001 488947875460 511172778890 562290056779 613407334668 733421813190 766759168335 880106175828 920111002002 1022345557780 1100132719785 1124580113558 1466843626380 1533518336670 1686870170337 1840222004004 2200265439570 2249160227116 2300277505005 2811450283895 3067036673340 3373740340674 4400530879140 4600555010010 5060610511011 5622900567790 6747480681348 8434350851685 9201110020020 10121221022022 11245801135580 16868701703370 20242442044044 25303052555055 33737403406740 50606105110110 101212210220220