Search a number
-
+
3003102120321 = 3253137200322943
BaseRepresentation
bin101011101100110110110…
…101011100100110000001
3101122002112100110022112100
4223230312311130212001
5343200323120322241
610215334524421013
7426652445562462
oct53546665344601
911562470408470
103003102120321
11a58676946686
124060309a7769
1318a26441b064
14a54cacc2d69
15531b6c5a9b6
hex2bb36d5c981

3003102120321 has 48 divisors (see below), whose sum is σ = 4454336779776. Its totient is φ = 1948896837888.

The previous prime is 3003102120313. The next prime is 3003102120323. The reversal of 3003102120321 is 1230212013003.

3003102120321 is a `hidden beast` number, since 30 + 0 + 310 + 2 + 1 + 2 + 0 + 321 = 666.

It is not a de Polignac number, because 3003102120321 - 23 = 3003102120313 is a prime.

It is a super-2 number, since 2×30031021203212 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3003102120294 and 3003102120303.

It is not an unprimeable number, because it can be changed into a prime (3003102120323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130882576 + ... + 130905518.

It is an arithmetic number, because the mean of its divisors is an integer number (92798682912).

Almost surely, 23003102120321 is an apocalyptic number.

It is an amenable number.

3003102120321 is a deficient number, since it is larger than the sum of its proper divisors (1451234659455).

3003102120321 is a wasteful number, since it uses less digits than its factorization.

3003102120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25142 (or 25139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3003102120321 its reverse (1230212013003), we get a palindrome (4233314133324).

The spelling of 3003102120321 in words is "three trillion, three billion, one hundred two million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 53 137 159 411 477 1233 2003 6009 7261 18027 21783 22943 65349 68829 106159 206487 274411 318477 823233 955431 1215979 2469699 3143191 3647937 9429573 10943811 14543783 28288719 43631349 45954829 130894047 137864487 166589123 413593461 499767369 1499302107 2435605937 6295811573 7306817811 18887434719 21920453433 56662304157 333678013369 1001034040107 3003102120321