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20101211222220 = 223251935339166319
BaseRepresentation
bin1001001001000001011011…
…00011011111000011001100
32122011122201222020022102200
410210200231203133003030
510113314240033102340
6110430211405521500
74143156516145332
oct444405543370314
978148658208380
1020101211222220
11644a96a774337
1223078bab73290
13b2a6c7a168cb
144d6c920cdb52
1524cd2a5c6330
hex12482d8df0cc

20101211222220 has 144 divisors (see below), whose sum is σ = 64185016896000. Its totient is φ = 5078026498176.

The previous prime is 20101211222159. The next prime is 20101211222227. The reversal of 20101211222220 is 2222211210102.

It is a happy number.

20101211222220 is a `hidden beast` number, since 2 + 0 + 10 + 1 + 211 + 222 + 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 = 20101211222193 and 20101211222202.

It is not an unprimeable number, because it can be changed into a prime (20101211222227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120776221 + ... + 120942539.

It is an arithmetic number, because the mean of its divisors is an integer number (445729284000).

Almost surely, 220101211222220 is an apocalyptic number.

20101211222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101211222220 is an abundant number, since it is smaller than the sum of its proper divisors (44083805673780).

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

20101211222220 is a wasteful number, since it uses less digits than its factorization.

20101211222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201692 (or 201687 counting only the distinct ones).

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

Adding to 20101211222220 its reverse (2222211210102), we get a palindrome (22323422432322).

The spelling of 20101211222220 in words is "twenty trillion, one hundred one billion, two hundred eleven million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 35339 70678 106017 141356 166319 176695 212034 318051 332638 353390 424068 498957 530085 636102 665276 671441 706780 831595 997914 1060170 1272204 1342882 1496871 1590255 1663190 1995828 2014323 2120340 2494785 2685764 2993742 3160061 3180510 3326380 3357205 4028646 4989570 5987484 6042969 6320122 6361020 6714410 7484355 8057292 9480183 9979140 10071615 12085938 12640244 13428820 14968710 15800305 18960366 20143230 24171876 28440549 29937420 30214845 31600610 37920732 40286460 47400915 56881098 60429690 63201220 94801830 113762196 120859380 142202745 189603660 284405490 568810980 5877547141 11755094282 17632641423 23510188564 29387735705 35265282846 52897924269 58775471410 70530565692 88163207115 105795848538 111673395679 117550942820 176326414230 211591697076 223346791358 264489621345 335020187037 352652828460 446693582716 528979242690 558366978395 670040374074 1005060561111 1057958485380 1116733956790 1340080748148 1675100935185 2010121122222 2233467913580 3350201870370 4020242244444 5025302805555 6700403740740 10050605611110 20101211222220