Search a number
-
+
3012132002121 = 35111139972329
BaseRepresentation
bin101011110101010001000…
…011101101100101001001
3101122221211122202211200000
4223311101003231211021
5343322321243031441
610223430534233213
7430422303400464
oct53652103554511
911587748684600
103012132002121
11a6148aa97510
12407930ab5809
1318b073131598
14a5b062762db
155354488b2b6
hex2bd510ed949

3012132002121 has 48 divisors (see below), whose sum is σ = 4965741668160. Its totient is φ = 1809379192320.

The previous prime is 3012132002101. The next prime is 3012132002141. The reversal of 3012132002121 is 1212002312103.

3012132002121 is a `hidden beast` number, since 301 + 2 + 1 + 320 + 0 + 21 + 21 = 666.

3012132002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3012132002101) and next prime (3012132002141).

It is not a de Polignac number, because 3012132002121 - 222 = 3012127807817 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3012132002094 and 3012132002103.

It is not an unprimeable number, because it can be changed into a prime (3012132002101) 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, 4684116 + ... + 5288213.

It is an arithmetic number, because the mean of its divisors is an integer number (103452951420).

Almost surely, 23012132002121 is an apocalyptic number.

It is an amenable number.

3012132002121 is a deficient number, since it is larger than the sum of its proper divisors (1953609666039).

3012132002121 is a wasteful number, since it uses less digits than its factorization.

3012132002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972468 (or 9972456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3012132002121 its reverse (1212002312103), we get a palindrome (4224134314224).

The spelling of 3012132002121 in words is "three trillion, twelve billion, one hundred thirty-two million, two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 113 243 297 339 891 1017 1243 2673 3051 3729 9153 11187 27459 33561 100683 302049 9972329 29916987 89750961 109695619 269252883 329086857 807758649 987260571 1126873177 2423275947 2961781713 3380619531 8885345139 10141858593 12395604947 26656035417 30425575779 37186814841 91276727337 111560444523 273830182011 334681333569 1004044000707 3012132002121