Search a number
-
+
2030212120302 = 2323710130181847
BaseRepresentation
bin11101100010110010000…
…100100111111011101110
321012002022222021120200200
4131202302010213323232
5231230333300322202
64152355551334330
7266451356201322
oct35426204477356
97162288246620
102030212120302
1171300a8a5a53
12289575b213a6
131195a9868432
1470397153982
1537c25556e1c
hex1d8b2127eee

2030212120302 has 48 divisors (see below), whose sum is σ = 4562408871072. Its totient is φ = 651927873600.

The previous prime is 2030212120271. The next prime is 2030212120309.

2030212120302 is a `hidden beast` number, since 2 + 0 + 30 + 212 + 120 + 302 = 666.

2030212120302 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20302121203022 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030212120309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15023658 + ... + 15158189.

It is an arithmetic number, because the mean of its divisors is an integer number (95050184814).

Almost surely, 22030212120302 is an apocalyptic number.

2030212120302 is an abundant number, since it is smaller than the sum of its proper divisors (2532196750770).

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

2030212120302 is a wasteful number, since it uses less digits than its factorization.

2030212120302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30181993 (or 30181990 counting only the distinct ones).

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

The spelling of 2030212120302 in words is "two trillion, thirty billion, two hundred twelve million, one hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 3737 7474 11211 22422 33633 67266 30181847 60363694 90545541 181091082 271636623 543273246 1116728339 2233456678 3048366547 3350185017 6096733094 6700370034 9145099641 10050555051 18290199282 20101110102 27435298923 54870597846 112789562239 225579124478 338368686717 676737373434 1015106060151 2030212120302