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1022132223020 = 2254110127145541
BaseRepresentation
bin11101101111110111101…
…00111111110000101100
310121201022011002211211202
432313323310333300230
5113221311322114040
62101321104505032
7133563250354406
oct16677364776054
93551264084752
101022132223020
11364535aa16a7
1214611a01b178
13755046340ac
14376859a5b76
151b8c47b2015
hexedfbd3fc2c

1022132223020 has 96 divisors (see below), whose sum is σ = 2228844425472. Its totient is φ = 393465600000.

The previous prime is 1022132223017. The next prime is 1022132223037. The reversal of 1022132223020 is 203222312201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1022132222983 and 1022132223001.

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, 22421450 + ... + 22466990.

It is an arithmetic number, because the mean of its divisors is an integer number (23217129432).

Almost surely, 21022132223020 is an apocalyptic number.

1022132223020 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 1022132223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114422212736).

1022132223020 is an abundant number, since it is smaller than the sum of its proper divisors (1206712202452).

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

1022132223020 is a wasteful number, since it uses less digits than its factorization.

1022132223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45963 (or 45961 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1022132223020 its reverse (203222312201), we get a palindrome (1225354535221).

The spelling of 1022132223020 in words is "one trillion, twenty-two billion, one hundred thirty-two million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 271 404 410 505 542 820 1010 1084 1355 2020 2710 4141 5420 8282 11111 16564 20705 22222 27371 41410 44444 45541 54742 55555 82820 91082 109484 111110 136855 182164 222220 227705 273710 455410 547420 910820 1122211 1867181 2244422 3734362 4488844 4599641 5611055 7468724 9199282 9335905 11222110 12341611 18398564 18671810 22444220 22998205 24683222 37343620 45996410 49366444 61708055 91992820 123416110 188585281 246832220 377170562 506006051 754341124 942926405 1012012102 1246502711 1885852810 2024024204 2493005422 2530030255 3771705620 4986010844 5060060510 6232513555 10120121020 12465027110 24930054220 51106611151 102213222302 204426444604 255533055755 511066111510 1022132223020