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3002210103012 = 22323241234719231
BaseRepresentation
bin101011101100000001101…
…010101010111011100100
3101122000020011222010211020
4223230001222222323210
5343142011241244022
610215110221411140
7426621364552101
oct53540152527344
911560204863736
103002210103012
11a5825937689a
12405a22109ab0
1318a15168ac73
14a5444643aa8
15531637a935c
hex2bb01aaaee4

3002210103012 has 96 divisors (see below), whose sum is σ = 7343569035264. Its totient is φ = 952798809600.

The previous prime is 3002210102999. The next prime is 3002210103023. The reversal of 3002210103012 is 2103010122003.

3002210103012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3002210102982 and 3002210103000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156103437 + ... + 156122667.

It is an arithmetic number, because the mean of its divisors is an integer number (76495510784).

Almost surely, 23002210103012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002210103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671784517632).

3002210103012 is an abundant number, since it is smaller than the sum of its proper divisors (4341358932252).

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

3002210103012 is a wasteful number, since it uses less digits than its factorization.

3002210103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21849 (or 21847 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3002210103012 its reverse (2103010122003), we get a palindrome (5105220225015).

The spelling of 3002210103012 in words is "three trillion, two billion, two hundred ten million, one hundred three thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 241 276 482 723 964 1446 2347 2892 4694 5543 7041 9388 11086 14082 16629 19231 22172 28164 33258 38462 53981 57693 66516 76924 107962 115386 161943 215924 230772 323886 442313 565627 647772 884626 1131254 1326939 1696881 1769252 2262508 2653878 3393762 4634671 5307756 6787524 9269342 13009421 13904013 18538684 26018842 27808026 39028263 45135157 52037684 55616052 78056526 90270314 106597433 135405471 156113052 180540628 213194866 270810942 319792299 426389732 541621884 639584598 1038108611 1279169196 2076217222 3114325833 4152434444 6228651666 10877572837 12457303332 21755145674 32632718511 43510291348 65265437022 130530874044 250184175251 500368350502 750552525753 1000736701004 1501105051506 3002210103012