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100023330 = 235111013001
BaseRepresentation
bin1011111011000…
…11110000100010
320222012201012210
411331203300202
5201101221310
613531502550
72323120131
oct575436042
9228181183
10100023330
1151508010
12295b7a56
1317951304
14d3d9918
158bab820
hex5f63c22

100023330 has 64 divisors (see below), whose sum is σ = 264560256. Its totient is φ = 24000000.

The previous prime is 100023323. The next prime is 100023331. The reversal of 100023330 is 33320001.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100023331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31830 + ... + 34830.

It is an arithmetic number, because the mean of its divisors is an integer number (4133754).

Almost surely, 2100023330 is an apocalyptic number.

100023330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132280128).

100023330 is an abundant number, since it is smaller than the sum of its proper divisors (164536926).

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

100023330 is a wasteful number, since it uses less digits than its factorization.

100023330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 100023330 is about 10001.1664319718. The cubic root of 100023330 is about 464.1949766437.

Adding to 100023330 its reverse (33320001), we get a palindrome (133343331).

The spelling of 100023330 in words is "one hundred million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3001 3030 3333 5555 6002 6666 9003 11110 15005 16665 18006 30010 33011 33330 45015 66022 90030 99033 165055 198066 303101 330110 495165 606202 909303 990330 1515505 1818606 3031010 3334111 4546515 6668222 9093030 10002333 16670555 20004666 33341110 50011665 100023330