Search a number
-
+
30003002031312 = 243369451393591
BaseRepresentation
bin1101101001001100111100…
…10001110011110011010000
310221020020222210112202021000
412310212132101303303100
512413032122010000222
6143451104443102000
76214434234262122
oct664463621636320
9127206883482230
1030003002031312
119618224519672
123446948811900
13139836a38523b
1475a21dd61212
153706a861e9ac
hex1b499e473cd0

30003002031312 has 40 divisors (see below), whose sum is σ = 86119728054080. Its totient is φ = 10001000676960.

The previous prime is 30003002031307. The next prime is 30003002031313. The reversal of 30003002031312 is 21313020030003.

30003002031312 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 300 + 20 + 31 + 312 = 666.

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 (30003002031313) 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 7 ways as a sum of consecutive naturals, for example, 34725696364 + ... + 34725697227.

It is an arithmetic number, because the mean of its divisors is an integer number (2152993201352).

Almost surely, 230003002031312 is an apocalyptic number.

It is an amenable number.

30003002031312 is an abundant number, since it is smaller than the sum of its proper divisors (56116726022768).

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

30003002031312 is a wasteful number, since it uses less digits than its factorization.

30003002031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69451393608 (or 69451393596 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30003002031312 its reverse (21313020030003), we get a palindrome (51316022061315).

The spelling of 30003002031312 in words is "thirty trillion, three billion, two million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 69451393591 138902787182 208354180773 277805574364 416708361546 555611148728 625062542319 833416723092 1111222297456 1250125084638 1666833446184 1875187626957 2500250169276 3333666892368 3750375253914 5000500338552 7500750507828 10001000677104 15001501015656 30003002031312