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3055013000 = 235313218077
BaseRepresentation
bin1011011000010111…
…1100110010001000
321212220112201222122
42312011330302020
522224040404000
61223051310412
7135464116304
oct26605746210
97786481878
103055013000
111328525536
1271314b408
13398c06600
1420da46d04
1512d30e085
hexb617cc88

3055013000 has 96 divisors (see below), whose sum is σ = 7741361160. Its totient is φ = 1127942400.

The previous prime is 3055012981. The next prime is 3055013053. The reversal of 3055013000 is 3105503.

It can be written as a sum of positive squares in 12 ways, for example, as 254274916 + 2800738084 = 15946^2 + 52922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3055013000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159962 + ... + 178038.

Almost surely, 23055013000 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 3055013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870680580).

3055013000 is an abundant number, since it is smaller than the sum of its proper divisors (4686348160).

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

3055013000 is a wasteful number, since it uses less digits than its factorization.

3055013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18124 (or 18097 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 3055013000 is about 55272.1720217326. The cubic root of 3055013000 is about 1451.0120560355.

Adding to 3055013000 its reverse (3105503), we get a palindrome (3058118503).

The spelling of 3055013000 in words is "three billion, fifty-five million, thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2600 3250 3380 4225 6500 6760 8450 13000 16900 18077 21125 33800 36154 42250 72308 84500 90385 144616 169000 180770 235001 361540 451925 470002 723080 903850 940004 1175005 1807700 1880008 2259625 2350010 3055013 3615400 4519250 4700020 5875025 6110026 9038500 9400040 11750050 12220052 15275065 18077000 23500100 24440104 29375125 30550130 47000200 58750250 61100260 76375325 117500500 122200520 152750650 235001000 305501300 381876625 611002600 763753250 1527506500 3055013000