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2002401315 = 325731494091
BaseRepresentation
bin111011101011010…
…0011100000100011
312011112212112012200
41313112203200203
513100103320230
6530410224243
7100423062465
oct16726434043
95145775180
102002401315
11938337822
1247a725083
1325bb08365
1414dd22135
15babd9160
hex775a3823

2002401315 has 48 divisors (see below), whose sum is σ = 3542853600. Its totient is φ = 1045992960.

The previous prime is 2002401307. The next prime is 2002401391. The reversal of 2002401315 is 5131042002.

2002401315 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2002401315 - 23 = 2002401307 is a prime.

It is a super-3 number, since 3×20024013153 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 487420 + ... + 491510.

It is an arithmetic number, because the mean of its divisors is an integer number (73809450).

Almost surely, 22002401315 is an apocalyptic number.

2002401315 is a deficient number, since it is larger than the sum of its proper divisors (1540452285).

2002401315 is a wasteful number, since it uses less digits than its factorization.

2002401315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2002401315 is about 44748.1990140385. The cubic root of 2002401315 is about 1260.4250927737.

Adding to 2002401315 its reverse (5131042002), we get a palindrome (7133443317).

The spelling of 2002401315 in words is "two billion, two million, four hundred one thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 45 73 149 219 365 447 657 745 1095 1341 2235 3285 4091 6705 10877 12273 20455 32631 36819 54385 61365 97893 163155 184095 298643 489465 609559 895929 1493215 1828677 2687787 3047795 4479645 5486031 9143385 13438935 27430155 44497807 133493421 222489035 400480263 667467105 2002401315