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1022010120 = 233252838917
BaseRepresentation
bin111100111010101…
…010001100001000
32122020002111022200
4330322222030020
54043113310440
6245225120200
734216641225
oct7472521410
92566074280
101022010120
1148499736a
12246329060
13133975521
1499a3a94c
155eaccc30
hex3ceaa308

1022010120 has 48 divisors (see below), whose sum is σ = 3321534060. Its totient is φ = 272535936.

The previous prime is 1022010113. The next prime is 1022010137. The reversal of 1022010120 is 210102201.

It can be written as a sum of positive squares in 2 ways, for example, as 1008570564 + 13439556 = 31758^2 + 3666^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1419099 + ... + 1419818.

Almost surely, 21022010120 is an apocalyptic number.

1022010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022010120 is an abundant number, since it is smaller than the sum of its proper divisors (2299523940).

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

1022010120 is a wasteful number, since it uses less digits than its factorization.

1022010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838934 (or 2838927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022010120 is about 31968.8930055452. The cubic root of 1022010120 is about 1007.2835280887.

Adding to 1022010120 its reverse (210102201), we get a palindrome (1232112321).

The spelling of 1022010120 in words is "one billion, twenty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2838917 5677834 8516751 11355668 14194585 17033502 22711336 25550253 28389170 34067004 42583755 51100506 56778340 68134008 85167510 102201012 113556680 127751265 170335020 204402024 255502530 340670040 511005060 1022010120