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10221220022220 = 22325206351715323
BaseRepresentation
bin1001010010111101000000…
…1100000100011111001100
31100012010202101201202102200
42110233100030010133030
52314431024311202340
633423321425521500
72103313234454304
oct224572014043714
940163671652380
1010221220022220
113290882265a69
121190b35aa3290
13591b1a83705c
142749d1558604
1512ad262c6330
hex94bd03047cc

10221220022220 has 144 divisors (see below), whose sum is σ = 31031223455232. Its totient is φ = 2723298906240.

The previous prime is 10221220022207. The next prime is 10221220022239. The reversal of 10221220022220 is 2222002212201.

10221220022220 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 200 + 22 + 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 = 10221220022193 and 10221220022202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920196479 + ... + 1920201801.

It is an arithmetic number, because the mean of its divisors is an integer number (215494607328).

Almost surely, 210221220022220 is an apocalyptic number.

10221220022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221220022220 is an abundant number, since it is smaller than the sum of its proper divisors (20810003433012).

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

10221220022220 is a wasteful number, since it uses less digits than its factorization.

10221220022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12572 (or 12567 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10221220022220 its reverse (2222002212201), we get a palindrome (12443222234421).

The spelling of 10221220022220 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2063 4126 5171 5323 6189 8252 10315 10342 10646 12378 15513 15969 18567 20630 20684 21292 24756 25855 26615 30945 31026 31938 37134 41260 46539 47907 51710 53230 61890 62052 63876 74268 77565 79845 92835 93078 95814 103420 106460 123780 155130 159690 185670 186156 191628 232695 239535 310260 319380 371340 465390 479070 930780 958140 10667773 10981349 21335546 21962698 27525233 32003319 32944047 42671092 43925396 53338865 54906745 55050466 64006638 65888094 82575699 96009957 98832141 106677730 109813490 110100932 128013276 131776188 137626165 160016595 164720235 165151398 192019914 197664282 213355460 219626980 247727097 275252330 320033190 329440470 330302796 384039828 395328564 412878495 480049785 494160705 495454194 550504660 640066380 658880940 825756990 960099570 988321410 990908388 1238635485 1651513980 1920199140 1976642820 2477270970 4954541940 56784555679 113569111358 170353667037 227138222716 283922778395 340707334074 511061001111 567845556790 681414668148 851768335185 1022122002222 1135691113580 1703536670370 2044244004444 2555305005555 3407073340740 5110610011110 10221220022220