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3003130013121 = 337294096072207
BaseRepresentation
bin101011101100111000011…
…111110110010111000001
3101122002121021221102021000
4223230320133312113001
5343200402240404441
610215341402322213
7426653234633550
oct53547037662701
911562537842230
103003130013121
11a58690667987
1240603a1b9369
1318a26a135b84
14a54d08a3d97
15531b941a2b6
hex2bb387f65c1

3003130013121 has 128 divisors (see below), whose sum is σ = 5283938304000. Its totient is φ = 1649377562112.

The previous prime is 3003130013021. The next prime is 3003130013129. The reversal of 3003130013121 is 1213100313003.

It is a happy number.

3003130013121 is a `hidden beast` number, since 300 + 31 + 300 + 1 + 31 + 2 + 1 = 666.

3003130013121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3003130013121 - 225 = 3003096458689 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3003130013094 and 3003130013103.

It is not an unprimeable number, because it can be changed into a prime (3003130013129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1360728400 + ... + 1360730606.

It is an arithmetic number, because the mean of its divisors is an integer number (41280768000).

Almost surely, 23003130013121 is an apocalyptic number.

It is an amenable number.

3003130013121 is a deficient number, since it is larger than the sum of its proper divisors (2280808290879).

3003130013121 is a wasteful number, since it uses less digits than its factorization.

3003130013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3003130013121 its reverse (1213100313003), we get a palindrome (4216230326124).

The spelling of 3003130013121 in words is "three trillion, three billion, one hundred thirty million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 409 607 609 783 1227 1821 1827 2207 2863 3681 4249 5463 5481 6621 8589 11043 11861 12747 15449 16389 17603 19863 25767 35583 38241 46347 52809 59589 64003 77301 83027 106749 114723 123221 139041 158427 192009 248263 249081 320247 369663 417123 448021 475281 576027 744789 747243 902663 1108989 1339649 1344063 1728081 1737841 2234367 2241729 2707989 3326967 4018947 4032189 5213523 6318641 6703101 7199627 8123967 9377543 12056841 12096567 15640569 18955923 21598881 24371901 26177227 28132629 36170523 38849821 46921707 50397389 56867769 64796643 78531681 84397887 116549463 151192167 170603307 183240589 194389929 235595043 253193661 271948747 349648389 453576501 547916441 549721767 706785129 815846241 1048945167 1360729503 1643749323 1649165301 2447538723 3835415087 4931247969 4947495903 7342616169 11506245261 14793743907 15889576789 34518735783 47668730367 103556207349 111227037523 143006191101 333681112569 429018573303 1001043337707 3003130013121