Search a number
-
+
30133033002 = 2327321372293
BaseRepresentation
bin11100000100000100…
…011001100000101010
32212210000121200100100
4130010010121200222
5443203024024002
621502023250230
72114503361112
oct340404314052
985700550310
1030133033002
1111863347766
125a0b5a9976
132ac2b03257
14165bd98042
15bb565611c
hex70411982a

30133033002 has 72 divisors (see below), whose sum is σ = 66707102124. Its totient is φ = 9830149632.

The previous prime is 30133032997. The next prime is 30133033003. The reversal of 30133033002 is 20033033103.

30133033002 is a `hidden beast` number, since 3 + 0 + 1 + 330 + 330 + 0 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15171095241 + 14961937761 = 123171^2 + 122319^2 .

It is a super-2 number, since 2×301330330022 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30133033003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13140168 + ... + 13142460.

Almost surely, 230133033002 is an apocalyptic number.

30133033002 is an abundant number, since it is smaller than the sum of its proper divisors (36574069122).

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

30133033002 is a wasteful number, since it uses less digits than its factorization.

30133033002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 30133033002 its reverse (20033033103), we get a palindrome (50166066105).

The spelling of 30133033002 in words is "thirty billion, one hundred thirty-three million, thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 73 137 146 219 274 411 438 657 822 1233 1314 2293 2466 4586 5329 6879 10001 10658 13758 15987 20002 20637 30003 31974 41274 47961 60006 90009 95922 167389 180018 314141 334778 502167 628282 730073 942423 1004334 1460146 1506501 1884846 2190219 2827269 3013002 4380438 5654538 6570657 12219397 13141314 22932293 24438794 36658191 45864586 68796879 73316382 109974573 137593758 206390637 219949146 412781274 1674057389 3348114778 5022172167 10044344334 15066516501 30133033002