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3002330212002 = 23211231723382631
BaseRepresentation
bin101011101100001000110…
…100110110011010100010
3101122000112112222022101100
4223230020310312122202
5343142233013241002
610215130152015230
7426624353506062
oct53541064663242
911560475868340
103002330212002
11a58310152520
12405a56391516
1318a170522684
14a545658b3a2
155316e0d211c
hex2bb08d366a2

3002330212002 has 96 divisors (see below), whose sum is σ = 7409273803776. Its totient is φ = 869733295200.

The previous prime is 3002330211989. The next prime is 3002330212019. The reversal of 3002330212002 is 2002120332003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7655227 + ... + 8037857.

It is an arithmetic number, because the mean of its divisors is an integer number (77179935456).

Almost surely, 23002330212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002330212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704636901888).

3002330212002 is an abundant number, since it is smaller than the sum of its proper divisors (4406943591774).

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

3002330212002 is a wasteful number, since it uses less digits than its factorization.

3002330212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384396 (or 384393 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3002330212002 its reverse (2002120332003), we get a palindrome (5004450544005).

The spelling of 3002330212002 in words is "three trillion, two billion, three hundred thirty million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 1723 2277 3446 4554 5169 10338 15507 18953 31014 37906 39629 56859 79258 113718 118887 170577 237774 341154 356661 382631 435919 713322 765262 871838 1147893 1307757 2295786 2615514 3443679 3923271 4208941 6887358 7846542 8417882 8800513 12626823 17601026 25253646 26401539 37880469 52803078 75760938 79204617 96805643 158409234 193611286 290416929 580833858 659273213 871250787 1318546426 1742501574 1977819639 3955639278 5933458917 7252005343 11866917834 14504010686 15163283899 21756016029 30326567798 43512032058 45489851697 65268048087 90979703394 130536096174 136469555091 166796122889 272939110182 333592245778 500388368667 1000776737334 1501165106001 3002330212002