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2023031300 = 2252294211657
BaseRepresentation
bin111100010010101…
…0000001000000100
312012222200122020012
41320211100020010
513120344000200
6532424325352
7101063324303
oct17045201004
95188618205
102023031300
11948a483a4
12485613858
1326317c454
1415297243a
15bc911a35
hex78950204

2023031300 has 72 divisors (see below), whose sum is σ = 4554890760. Its totient is φ = 778982400.

The previous prime is 2023031291. The next prime is 2023031333. The reversal of 2023031300 is 31303202.

It can be written as a sum of positive squares in 12 ways, for example, as 1383244864 + 639786436 = 37192^2 + 25294^2 .

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, 1220072 + ... + 1221728.

Almost surely, 22023031300 is an apocalyptic number.

2023031300 is a gapful number since it is divisible by the number (20) 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 2023031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277445380).

2023031300 is an abundant number, since it is smaller than the sum of its proper divisors (2531859460).

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

2023031300 is a wasteful number, since it uses less digits than its factorization.

2023031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2023031300 is about 44978.1202363994. The cubic root of 2023031300 is about 1264.7388734392.

Adding to 2023031300 its reverse (31303202), we get a palindrome (2054334502).

The spelling of 2023031300 in words is "two billion, twenty-three million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 421 580 725 842 1450 1657 1684 2105 2900 3314 4210 6628 8285 8420 10525 12209 16570 21050 24418 33140 41425 42100 48053 48836 61045 82850 96106 122090 165700 192212 240265 244180 305225 480530 610450 697597 961060 1201325 1220900 1395194 2402650 2790388 3487985 4805300 6975970 13951940 17439925 20230313 34879850 40460626 69759700 80921252 101151565 202303130 404606260 505757825 1011515650 2023031300