Search a number
-
+
1333012100 = 225272278389
BaseRepresentation
bin100111101110100…
…0010011010000100
310102220022000211112
41033131002122010
510212222341400
6340135024152
745014262440
oct11735023204
93386260745
101333012100
116244a57a2
1231250b058
13183225c74
14c9075820
157c061835
hex4f742684

1333012100 has 72 divisors (see below), whose sum is σ = 3320829120. Its totient is φ = 454965120.

The previous prime is 1333012091. The next prime is 1333012103. The reversal of 1333012100 is 12103331.

1333012100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1333012103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154706 + ... + 163094.

Almost surely, 21333012100 is an apocalyptic number.

1333012100 is a gapful number since it is divisible by the number (10) 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 1333012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660414560).

1333012100 is an abundant number, since it is smaller than the sum of its proper divisors (1987817020).

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

1333012100 is a wasteful number, since it uses less digits than its factorization.

1333012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8637 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1333012100 is about 36510.4382334696. The cubic root of 1333012100 is about 1100.5540184407.

Adding to 1333012100 its reverse (12103331), we get a palindrome (1345115431).

The spelling of 1333012100 in words is "one billion, three hundred thirty-three million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 227 350 454 700 908 1135 1589 2270 3178 4540 5675 6356 7945 8389 11350 15890 16778 22700 31780 33556 39725 41945 58723 79450 83890 117446 158900 167780 209725 234892 293615 419450 587230 838900 1174460 1468075 1904303 2936150 3808606 5872300 7617212 9521515 13330121 19043030 26660242 38086060 47607575 53320484 66650605 95215150 133301210 190430300 266602420 333253025 666506050 1333012100