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10220111020 = 2257193842147
BaseRepresentation
bin10011000010010101…
…01000010010101100
3222101020221102200101
421201022220102230
5131412322023040
64410044240444
7511156340020
oct114112502254
928336842611
1010220111020
114374a93749
121b92840124
13c6b496592
146cd49c380
153ec38b09a
hex2612a84ac

10220111020 has 48 divisors (see below), whose sum is σ = 25819234560. Its totient is φ = 3319614144.

The previous prime is 10220111003. The next prime is 10220111047. The reversal of 10220111020 is 2011102201.

It is a super-2 number, since 2×102201110202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10220110988 and 10220111006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918414 + ... + 1923733.

It is an arithmetic number, because the mean of its divisors is an integer number (537900720).

Almost surely, 210220111020 is an apocalyptic number.

10220111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220111020 is an abundant number, since it is smaller than the sum of its proper divisors (15599123540).

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

10220111020 is a wasteful number, since it uses less digits than its factorization.

10220111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842182 (or 3842180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220111020 its reverse (2011102201), we get a palindrome (12231213221).

The spelling of 10220111020 in words is "ten billion, two hundred twenty million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 3842147 7684294 15368588 19210735 26895029 38421470 53790058 73000793 76842940 107580116 134475145 146001586 268950290 292003172 365003965 511005551 537900580 730007930 1022011102 1460015860 2044022204 2555027755 5110055510 10220111020