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1022022210220 = 22511291226313063
BaseRepresentation
bin11101101111101010100…
…01010101001010101100
310121201000111002121122121
432313311101111022230
5113221100141211340
62101302134522324
7133560443310364
oct16676521251254
93551014077577
101022022210220
11364489991430
121460a92063a4
13754b78c5c6b
14376751299a4
151b8b9cd094a
hexedf54552ac

1022022210220 has 96 divisors (see below), whose sum is σ = 2422479467520. Its totient is φ = 358772386560.

The previous prime is 1022022210203. The next prime is 1022022210229. The reversal of 1022022210220 is 220122202201.

It is a junction number, because it is equal to n+sod(n) for n = 1022022210194 and 1022022210203.

It is not an unprimeable number, because it can be changed into a prime (1022022210229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78231409 + ... + 78244471.

It is an arithmetic number, because the mean of its divisors is an integer number (25234161120).

Almost surely, 21022022210220 is an apocalyptic number.

1022022210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022022210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211239733760).

1022022210220 is an abundant number, since it is smaller than the sum of its proper divisors (1400457257300).

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

1022022210220 is a wasteful number, since it uses less digits than its factorization.

1022022210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25375 (or 25373 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1022022210220 its reverse (220122202201), we get a palindrome (1242144412421).

The spelling of 1022022210220 in words is "one trillion, twenty-two billion, twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 12263 13063 24526 26126 49052 52252 61315 65315 122630 130630 134893 143693 245260 261260 269786 287386 355627 378827 539572 574772 674465 711254 718465 757654 1348930 1422508 1436930 1515308 1778135 1894135 2697860 2873860 3556270 3788270 3911897 4167097 7112540 7576540 7823794 8334194 15647588 16668388 19559485 20835485 39118970 41670970 78237940 83341940 160191569 320383138 640766276 800957845 1601915690 1762107259 3203831380 3524214518 4645555501 7048429036 8810536295 9291111002 17621072590 18582222004 23227777505 35242145180 46455555010 51101110511 92911110020 102202221022 204404442044 255505552555 511011105110 1022022210220