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10222000200120 = 2335475930718837
BaseRepresentation
bin1001010010111111111010…
…1100001101100110111000
31100012012202202202220022110
42110233332230031212320
52314434124022400440
633423531055452320
72103341460042402
oct224577654154670
940165682686273
1010222000200120
113291142698195
1211911132270a0
13591c13369797
14274a67003b72
1512ad6ea35080
hex94bfeb0d9b8

10222000200120 has 128 divisors (see below), whose sum is σ = 31849291238400. Its totient is φ = 2622651342336.

The previous prime is 10222000200043. The next prime is 10222000200143. The reversal of 10222000200120 is 2100200022201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10222000200096 and 10222000200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15026659 + ... + 15692178.

It is an arithmetic number, because the mean of its divisors is an integer number (248822587800).

Almost surely, 210222000200120 is an apocalyptic number.

10222000200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222000200120 is an abundant number, since it is smaller than the sum of its proper divisors (21627291038280).

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

10222000200120 is a wasteful number, since it uses less digits than its factorization.

10222000200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30718957 (or 30718953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222000200120 its reverse (2100200022201), we get a palindrome (12322200222321).

The spelling of 10222000200120 in words is "ten trillion, two hundred twenty-two billion, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 59 60 94 118 120 141 177 188 235 236 282 295 354 376 470 472 564 590 705 708 885 940 1128 1180 1410 1416 1770 1880 2360 2773 2820 3540 5546 5640 7080 8319 11092 13865 16638 22184 27730 33276 41595 55460 66552 83190 110920 166380 332760 30718837 61437674 92156511 122875348 153594185 184313022 245750696 307188370 368626044 460782555 614376740 737252088 921565110 1228753480 1443785339 1812411383 1843130220 2887570678 3624822766 3686260440 4331356017 5437234149 5775141356 7218926695 7249645532 8662712034 9062056915 10874468298 11550282712 14437853390 14499291064 17325424068 18124113830 21656780085 21748936596 27186170745 28875706780 34650848136 36248227660 43313560170 43497873192 54372341490 57751413560 72496455320 85183335001 86627120340 108744682980 170366670002 173254240680 217489365960 255550005003 340733340004 425916675005 511100010006 681466680008 851833350010 1022200020012 1277750025015 1703666700020 2044400040024 2555500050030 3407333400040 5111000100060 10222000200120