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30523347153 = 33131759277313
BaseRepresentation
bin11100011011010101…
…010101000011010001
32220210020001200201000
4130123111111003101
51000002434102103
622004445132213
72130253112205
oct343325250321
986706050630
1030523347153
1111a436a7542
125aba25a069
132b55932c80
141697b5ab05
15bd9a54aa3
hex71b5550d1

30523347153 has 128 divisors (see below), whose sum is σ = 52794201600. Its totient is φ = 17260978176.

The previous prime is 30523347133. The next prime is 30523347167. The reversal of 30523347153 is 35174332503.

30523347153 is a `hidden beast` number, since 30 + 523 + 34 + 71 + 5 + 3 = 666.

It is not a de Polignac number, because 30523347153 - 29 = 30523346641 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30523347103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97518525 + ... + 97518837.

It is an arithmetic number, because the mean of its divisors is an integer number (412454700).

Almost surely, 230523347153 is an apocalyptic number.

It is an amenable number.

30523347153 is a deficient number, since it is larger than the sum of its proper divisors (22270854447).

30523347153 is a wasteful number, since it uses less digits than its factorization.

30523347153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

Adding to 30523347153 its reverse (35174332503), we get a palindrome (65697679656).

The spelling of 30523347153 in words is "thirty billion, five hundred twenty-three million, three hundred forty-seven thousand, one hundred fifty-three".

Divisors: 1 3 9 13 17 27 39 51 59 117 153 177 221 277 313 351 459 531 663 767 831 939 1003 1593 1989 2301 2493 2817 3009 3601 4069 4709 5321 5967 6903 7479 8451 9027 10803 12207 13039 14127 15963 16343 18467 20709 27081 32409 36621 39117 42381 47889 49029 55401 61217 69173 86701 97227 109863 117351 127143 143667 147087 166203 183651 207519 212459 240071 260103 277831 313939 352053 441261 498609 550953 622557 637377 720213 780309 833493 941817 1127113 1473917 1652859 1867671 1912131 2160639 2340927 2500479 2825451 3381339 3611803 4081207 4421751 5115359 5736393 6481917 7501437 8476353 10144017 10835409 12243621 13265253 15346077 19160921 30432051 32506227 36730863 39795759 46038231 57482763 66499667 86961103 97518681 110192589 138114693 172448289 199499001 260883309 517344867 598497003 782649927 1130494339 1795491009 2347949781 3391483017 10174449051 30523347153