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1022022012220 = 22511179149317383
BaseRepresentation
bin11101101111101010100…
…00100100110100111100
310121201000110201120001021
432313311100210310330
5113221100113342340
62101302130353524
7133560441524206
oct16676520446474
93551013646037
101022022012220
113644898666a0
121460a912b8a4
13754b7856ac1
14376750b7776
151b8b9c91e4a
hexedf5424d3c

1022022012220 has 96 divisors (see below), whose sum is σ = 2356152261120. Its totient is φ = 369299362560.

The previous prime is 1022022012211. The next prime is 1022022012223. The reversal of 1022022012220 is 222102202201.

It is a junction number, because it is equal to n+sod(n) for n = 1022022012194 and 1022022012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022022012223) 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, 58785649 + ... + 58803031.

It is an arithmetic number, because the mean of its divisors is an integer number (24543252720).

Almost surely, 21022022012220 is an apocalyptic number.

1022022012220 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 1022022012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178076130560).

1022022012220 is an abundant number, since it is smaller than the sum of its proper divisors (1334130248900).

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

1022022012220 is a wasteful number, since it uses less digits than its factorization.

1022022012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19075 (or 19073 counting only the distinct ones).

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

Adding to 1022022012220 its reverse (222102202201), we get a palindrome (1244124214421).

The spelling of 1022022012220 in words is "one trillion, twenty-two billion, twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1493 1790 1969 2986 3580 3938 5972 7465 7876 9845 14930 16423 17383 19690 29860 32846 34766 39380 65692 69532 82115 86915 164230 173830 191213 267247 328460 347660 382426 534494 764852 956065 1068988 1336235 1912130 2672470 2939717 3111557 3824260 5344940 5879434 6223114 11758868 12446228 14698585 15557785 25952819 29397170 31115570 34227127 51905638 58794340 62231140 68454254 103811276 129764095 136908508 171135635 259528190 285481009 342271270 519056380 570962018 684542540 1141924036 1427405045 2854810090 4645554601 5709620180 9291109202 18582218404 23227773005 46455546010 51101100611 92911092020 102202201222 204404402444 255505503055 511011006110 1022022012220