Search a number
-
+
1035853122 = 231487116101
BaseRepresentation
bin111101101111011…
…101110101000010
32200012010210100110
4331233131311002
54110134244442
6250441532150
734445414643
oct7557356502
92605123313
101035853122
11491791867
1224aaa4056
131367b1355
149b8016ca
1560e1469c
hex3dbddd42

1035853122 has 16 divisors (see below), whose sum is σ = 2073117312. Its totient is φ = 345049200.

The previous prime is 1035853103. The next prime is 1035853123. The reversal of 1035853122 is 2213585301.

It is a super-3 number, since 3×10358531223 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1035853122.

It is not an unprimeable number, because it can be changed into a prime (1035853123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49129 + ... + 66972.

It is an arithmetic number, because the mean of its divisors is an integer number (129569832).

Almost surely, 21035853122 is an apocalyptic number.

1035853122 is an abundant number, since it is smaller than the sum of its proper divisors (1037264190).

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

1035853122 is a wasteful number, since it uses less digits than its factorization.

1035853122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117593.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1035853122 is about 32184.6721592748. The cubic root of 1035853122 is about 1011.8109919271.

The spelling of 1035853122 in words is "one billion, thirty-five million, eight hundred fifty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 1487 2974 4461 8922 116101 232202 348303 696606 172642187 345284374 517926561 1035853122