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3013012002 = 23711131014967
BaseRepresentation
bin1011001110010110…
…1110101000100010
321202222111212110010
42303211232220202
522132312341002
61214551145350
7134444115360
oct26345565042
97688455403
103013012002
111306848570
12701075256
133902bc050
14208232630
151297b446c
hexb396ea22

3013012002 has 128 divisors (see below), whose sum is σ = 8172638208. Its totient is φ = 715104000.

The previous prime is 3013011971. The next prime is 3013012003. The reversal of 3013012002 is 2002103103.

It is a happy number.

3013012002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3013012003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604123 + ... + 609089.

It is an arithmetic number, because the mean of its divisors is an integer number (63848736).

Almost surely, 23013012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086319104).

3013012002 is an abundant number, since it is smaller than the sum of its proper divisors (5159626206).

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

3013012002 is a wasteful number, since it uses less digits than its factorization.

3013012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3013012002 is about 54890.9100124966. The cubic root of 3013012002 is about 1444.3317355532.

Adding to 3013012002 its reverse (2002103103), we get a palindrome (5015115105).

It can be divided in two parts, 301301 and 2002, that added together give a palindrome (303303).

The spelling of 3013012002 in words is "three billion, thirteen million, twelve thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 101 143 154 182 202 231 273 286 303 429 462 546 606 707 858 1001 1111 1313 1414 2002 2121 2222 2626 3003 3333 3939 4242 4967 6006 6666 7777 7878 9191 9934 14443 14901 15554 18382 23331 27573 28886 29802 34769 43329 46662 54637 55146 64571 69538 86658 101101 104307 109274 129142 163911 193713 202202 208614 303303 327822 382459 387426 451997 501667 606606 710281 764918 903994 1003334 1147377 1355991 1420562 1505001 2130843 2294754 2711982 3010002 3511669 4261686 4971967 5518337 6521671 7023338 9943934 10535007 11036674 13043342 14915901 16555011 19565013 21070014 29831802 33110022 38628359 39130026 45651697 71738381 77256718 91303394 115885077 136955091 143476762 215215143 231770154 273910182 430430286 502168667 1004337334 1506506001 3013012002