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3005255100 = 2235231731601
BaseRepresentation
bin1011001100100000…
…1000110110111100
321202102220202222110
42303020020312330
522123321130400
61214113014020
7134321150451
oct26310106674
97672822873
103005255100
11130242a701
126ba554310
1338b804473
142071b3828
15128c80e50
hexb3208dbc

3005255100 has 72 divisors (see below), whose sum is σ = 8722910448. Its totient is φ = 798848000.

The previous prime is 3005255069. The next prime is 3005255111. The reversal of 3005255100 is 15525003.

It is a congruent number.

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, 79300 + ... + 110900.

It is an arithmetic number, because the mean of its divisors is an integer number (121151534).

Almost surely, 23005255100 is an apocalyptic number.

3005255100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005255100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361455224).

3005255100 is an abundant number, since it is smaller than the sum of its proper divisors (5717655348).

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

3005255100 is a wasteful number, since it uses less digits than its factorization.

3005255100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31935 (or 31928 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 3005255100 is about 54820.2070408349. The cubic root of 3005255100 is about 1443.0912085900.

The spelling of 3005255100 in words is "three billion, five million, two hundred fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 317 634 951 1268 1585 1902 3170 3804 4755 6340 7925 9510 15850 19020 23775 31601 31700 47550 63202 94803 95100 126404 158005 189606 316010 379212 474015 632020 790025 948030 1580050 1896060 2370075 3160100 4740150 9480300 10017517 20035034 30052551 40070068 50087585 60105102 100175170 120210204 150262755 200350340 250437925 300525510 500875850 601051020 751313775 1001751700 1502627550 3005255100