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3010012002 = 23431758613
BaseRepresentation
bin1011001101101001…
…0010001101100010
321202202212110020000
42303122102031202
522131030341002
61214403000430
7134406452124
oct26332221542
97682773200
103010012002
111305089628
12700069116
1338c7ab6ba
14207a91214
151293c061c
hexb3692362

3010012002 has 40 divisors (see below), whose sum is σ = 6766048476. Its totient is φ = 1000155168.

The previous prime is 3010011973. The next prime is 3010012009. The reversal of 3010012002 is 2002100103.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2985420321 + 24591681 = 54639^2 + 4959^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3010012009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22048 + ... + 80660.

Almost surely, 23010012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3010012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383024238).

3010012002 is an abundant number, since it is smaller than the sum of its proper divisors (3756036474).

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

3010012002 is a wasteful number, since it uses less digits than its factorization.

3010012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58944 (or 58935 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3010012002 is about 54863.5762778913. The cubic root of 3010012002 is about 1443.8522116201.

Adding to 3010012002 its reverse (2002100103), we get a palindrome (5012112105).

The spelling of 3010012002 in words is "three billion, ten million, twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 317 634 951 1902 2853 5706 8559 17118 25677 51354 58613 117226 175839 351678 527517 1055034 1582551 3165102 4747653 9495306 18580321 37160642 55740963 111481926 167222889 334445778 501668667 1003337334 1505006001 3010012002