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1013355028 = 227433132689
BaseRepresentation
bin111100011001101…
…001001000010100
32121121210202202201
4330121221020110
54033404330103
6244315414244
734053242560
oct7431511024
92547722681
101013355028
114800156a4
12243454384
13131c34b7a
14988266a0
155de6d51d
hex3c669214

1013355028 has 48 divisors (see below), whose sum is σ = 2081242240. Its totient is φ = 422682624.

The previous prime is 1013355019. The next prime is 1013355037. The reversal of 1013355028 is 8205533101.

It is an interprime number because it is at equal distance from previous prime (1013355019) and next prime (1013355037).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1013354987 and 1013355005.

It is a congruent number.

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, 375508 + ... + 378196.

Almost surely, 21013355028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013355028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040621120).

1013355028 is an abundant number, since it is smaller than the sum of its proper divisors (1067887212).

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

1013355028 is a wasteful number, since it uses less digits than its factorization.

1013355028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1013355028 is about 31833.2377869421. The cubic root of 1013355028 is about 1004.4320043189.

Adding to 1013355028 its reverse (8205533101), we get a palindrome (9218888129).

The spelling of 1013355028 in words is "one billion, thirteen million, three hundred fifty-five thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 43 86 172 301 313 602 626 1204 1252 2191 2689 4382 5378 8764 10756 13459 18823 26918 37646 53836 75292 94213 115627 188426 231254 376852 462508 809389 841657 1618778 1683314 3237556 3366628 5891599 11783198 23566396 36191251 72382502 144765004 253338757 506677514 1013355028