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10220022212100 = 22352192096385531
BaseRepresentation
bin1001010010111000100011…
…0010110010011000000100
31100012000122220211200211220
42110232020302302120010
52314421101141241400
633423002520400340
72103241451316441
oct224561062623004
940160586750756
1010220022212100
113290318115548
1211908609160b0
1359198962b57c
1427491a4389c8
1512aca606e7a0
hex94b88cb2604

10220022212100 has 144 divisors (see below), whose sum is σ = 31128091841280. Its totient is φ = 2581746998400.

The previous prime is 10220022212093. The next prime is 10220022212117. The reversal of 10220022212100 is 121222002201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10220022212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119446335 + ... + 119531865.

Almost surely, 210220022212100 is an apocalyptic number.

10220022212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220022212100 is an abundant number, since it is smaller than the sum of its proper divisors (20908069629180).

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

10220022212100 is a wasteful number, since it uses less digits than its factorization.

10220022212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106530 (or 106523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220022212100 its reverse (121222002201), we get a palindrome (10341244214301).

The spelling of 10220022212100 in words is "ten trillion, two hundred twenty billion, twenty-two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 20963 41926 62889 83852 85531 104815 125778 171062 209630 251556 256593 314445 342124 398297 419260 427655 513186 524075 628890 796594 855310 1026372 1048150 1194891 1257780 1282965 1572225 1593188 1625089 1710620 1991485 2096300 2138275 2389782 2565930 3144450 3250178 3982970 4276550 4779564 4875267 5131860 5974455 6288900 6414825 6500356 7965940 8125445 8553100 9750534 9957425 11948910 12829650 16250890 19501068 19914850 23897820 24376335 25659300 29872275 32501780 39829700 40627225 48752670 59744550 81254450 97505340 119489100 121881675 162508900 243763350 487526700 1792986353 3585972706 5378959059 7171945412 8964931765 10757918118 17929863530 21515836236 26894795295 34066740707 35859727060 44824658825 53789590590 68133481414 89649317650 102200222121 107579181180 134473976475 136266962828 170333703535 179298635300 204400444242 268947952950 340667407070 408800888484 511001110605 537895905900 681334814140 851668517675 1022002221210 1703337035350 2044004442420 2555005553025 3406674070700 5110011106050 10220022212100