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10222022021220 = 22325319138334643
BaseRepresentation
bin1001010010111111111111…
…1111011101000001100100
31100012012211021211112020100
42110233333333131001210
52314434200114134340
633423533155304100
72103342143364642
oct224577777350144
940165737745210
1010222022021220
113291153a41759
12119111a5ab030
13591c17a39a89
14274a69c84192
1512ad718e5830
hex94bfffdd064

10222022021220 has 144 divisors (see below), whose sum is σ = 31031291071872. Its totient is φ = 2723720609280.

The previous prime is 10222022021191. The next prime is 10222022021269. The reversal of 10222022021220 is 2212022022201.

10222022021220 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 220 + 2 + 1 + 220 = 666.

It is a super-2 number, since 2×102220220212202 (a number of 27 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 = 10222022021193 and 10222022021202.

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, 2201596219 + ... + 2201600861.

It is an arithmetic number, because the mean of its divisors is an integer number (215495076888).

Almost surely, 210222022021220 is an apocalyptic number.

10222022021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022021220 is an abundant number, since it is smaller than the sum of its proper divisors (20809269050652).

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

10222022021220 is a wasteful number, since it uses less digits than its factorization.

10222022021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11682 (or 11677 counting only the distinct ones).

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

Adding to 10222022021220 its reverse (2212022022201), we get a palindrome (12434044043421).

The spelling of 10222022021220 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3191 3833 4643 6382 7666 9286 9573 11499 12764 13929 15332 15955 18572 19146 19165 22998 23215 27858 28719 31910 34497 38292 38330 41787 45996 46430 47865 55716 57438 57495 63820 68994 69645 76660 83574 92860 95730 114876 114990 137988 139290 143595 167148 172485 191460 208935 229980 278580 287190 344970 417870 574380 689940 835740 12231103 14815813 17796619 24462206 29631626 35593238 36693309 44447439 48924412 53389857 59263252 61155515 71186476 73386618 74079065 88894878 88983095 106779714 110079927 122311030 133342317 146773236 148158130 160169571 177789756 177966190 183466545 213559428 220159854 222237195 244622060 266684634 266949285 296316260 320339142 355932380 366933090 440319708 444474390 533369268 533898570 550399635 640678284 666711585 733866180 800847855 888948780 1067797140 1100799270 1333423170 1601695710 2201598540 2666846340 3203391420 56789011229 113578022458 170367033687 227156044916 283945056145 340734067374 511101101061 567890112290 681468134748 851835168435 1022202202122 1135780224580 1703670336870 2044404404244 2555505505305 3407340673740 5111011010610 10222022021220