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1020354522 = 231123145337
BaseRepresentation
bin111100110100010…
…101111111011010
32122002222101021020
4330310111333122
54042202321042
6245125423310
734166604345
oct7464257732
92562871236
101020354522
11483a66500
1224586ab36
13133515a95
149972945c
155e8a23ec
hex3cd15fda

1020354522 has 48 divisors (see below), whose sum is σ = 2315502336. Its totient is φ = 299217600.

The previous prime is 1020354521. The next prime is 1020354527. The reversal of 1020354522 is 2254530201.

It is a super-2 number, since 2×10203545222 = 2082246701131696968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020354492 and 1020354501.

It is not an unprimeable number, because it can be changed into a prime (1020354521) 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 23 ways as a sum of consecutive naturals, for example, 163 + ... + 45174.

It is an arithmetic number, because the mean of its divisors is an integer number (48239632).

Almost surely, 21020354522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020354522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157751168).

1020354522 is an abundant number, since it is smaller than the sum of its proper divisors (1295147814).

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

1020354522 is a wasteful number, since it uses less digits than its factorization.

1020354522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45395 (or 45384 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1020354522 is about 31942.9886203530. The cubic root of 1020354522 is about 1006.7393202001.

Adding to 1020354522 its reverse (2254530201), we get a palindrome (3274884723).

The spelling of 1020354522 in words is "one billion, twenty million, three hundred fifty-four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 7502 11253 22506 45337 90674 136011 272022 498707 997414 1405447 1496121 2810894 2992242 4216341 5485777 8432682 10971554 15459917 16457331 30919834 32914662 46379751 92759502 170059087 340118174 510177261 1020354522