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3133000002 = 2311210142727
BaseRepresentation
bin1011101010111101…
…1100100101000010
322002100021220001010
42322233130211002
522404022000002
61234515021350
7140432026536
oct27257344502
98070256033
103133000002
111368551300
1273529a856
133ac110672
1421a147bc6
151350b646c
hexbabdc942

3133000002 has 48 divisors (see below), whose sum is σ = 6955776576. Its totient is φ = 939972000.

The previous prime is 3132999997. The next prime is 3133000009. The reversal of 3133000002 is 2000003313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3133000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51963 + ... + 94689.

It is an arithmetic number, because the mean of its divisors is an integer number (144912012).

Almost surely, 23133000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477888288).

3133000002 is an abundant number, since it is smaller than the sum of its proper divisors (3822776574).

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

3133000002 is a wasteful number, since it uses less digits than its factorization.

3133000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42855 (or 42844 counting only the distinct ones).

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

The square root of 3133000002 is about 55973.2078944918. The cubic root of 3133000002 is about 1463.2553872286.

Adding to 3133000002 its reverse (2000003313), we get a palindrome (5133003315).

It can be divided in two parts, 31 and 33000002, that added together give a palindrome (33000033).

The spelling of 3133000002 in words is "three billion, one hundred thirty-three million, two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 2222 3333 6666 12221 24442 36663 42727 73326 85454 128181 256362 469997 939994 1409991 2819982 4315427 5169967 8630854 10339934 12946281 15509901 25892562 31019802 47469697 94939394 142409091 284818182 522166667 1044333334 1566500001 3133000002