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1022110003420 = 225111512203761
BaseRepresentation
bin11101101111110101000…
…00001111000011011100
310121201020121021222021121
432313322200033003130
5113221240130102140
62101314552340324
7133562560452262
oct16677240170334
93551217258247
101022110003420
113645244a57a0
121461126a46a4
13754ccb545bc
1437682a60432
151b8c287364a
hexedfa80f0dc

1022110003420 has 72 divisors (see below), whose sum is σ = 2357182389744. Its totient is φ = 369213120000.

The previous prime is 1022110003381. The next prime is 1022110003451. The reversal of 1022110003420 is 243000112201.

It is a junction number, because it is equal to n+sod(n) for n = 1022110003394 and 1022110003403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4914340 + ... + 5118100.

It is an arithmetic number, because the mean of its divisors is an integer number (32738644302).

Almost surely, 21022110003420 is an apocalyptic number.

1022110003420 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 1022110003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178591194872).

1022110003420 is an abundant number, since it is smaller than the sum of its proper divisors (1335072386324).

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

1022110003420 is a wasteful number, since it uses less digits than its factorization.

1022110003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204083 (or 203930 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1022110003420 its reverse (243000112201), we get a palindrome (1265110115621).

The spelling of 1022110003420 in words is "one trillion, twenty-two billion, one hundred ten million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 22801 33220 45602 91204 114005 203761 228010 250811 407522 456020 501622 815044 1003244 1018805 1254055 2037610 2241371 2508110 4075220 4482742 5016220 8965484 11206855 22413710 30767911 44827420 61535822 123071644 153839555 307679110 338447021 615358220 676894042 1353788084 1692235105 3384470210 4645954561 6768940420 9291909122 18583818244 23229772805 46459545610 51105500171 92919091220 102211000342 204422000684 255527500855 511055001710 1022110003420