Search a number
-
+
2301202312002 = 23211191793417299
BaseRepresentation
bin100001011111001010010…
…110001010101101000010
322010222210202010122201100
4201133022112022231002
5300200330242441002
64521054023515230
7325153636625256
oct41371226125502
98128722118640
102301202312002
11807a30792970
12311ba3bb8b16
131390054b68a9
147d543564266
153ecd5ed211c
hex217ca58ab42

2301202312002 has 96 divisors (see below), whose sum is σ = 5757467040000. Its totient is φ = 656941367520.

The previous prime is 2301202311973. The next prime is 2301202312067. The reversal of 2301202312002 is 2002132021032.

2301202312002 is a `hidden beast` number, since 230 + 1 + 2 + 0 + 231 + 200 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035252 + ... + 2382047.

It is an arithmetic number, because the mean of its divisors is an integer number (59973615000).

Almost surely, 22301202312002 is an apocalyptic number.

2301202312002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2301202312002 is an abundant number, since it is smaller than the sum of its proper divisors (3456264727998).

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

2301202312002 is a wasteful number, since it uses less digits than its factorization.

2301202312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417516 (or 3417513 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2301202312002 its reverse (2002132021032), we get a palindrome (4303334333034).

The spelling of 2301202312002 in words is "two trillion, three hundred one billion, two hundred two million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 179 198 209 342 358 418 537 627 1074 1254 1611 1881 1969 3222 3401 3762 3938 5907 6802 10203 11814 17721 20406 30609 35442 37411 61218 74822 112233 224466 336699 673398 3417299 6834598 10251897 20503794 30755691 37590289 61511382 64928681 75180578 112770867 129857362 194786043 225541734 338312601 389572086 584358129 611696521 676625202 714215491 1168716258 1223393042 1428430982 1835089563 2142646473 3670179126 4285292946 5505268689 6427939419 6728661731 11010537378 11622233899 12855878838 13457323462 20185985193 23244467798 34866701697 40371970386 60557955579 69733403394 104600105091 121115911158 127844572889 209200210182 255689145778 383533718667 767067437334 1150601156001 2301202312002