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30505505112 = 23323160122741
BaseRepresentation
bin11100011010010001…
…010001000101011000
32220201222111020000200
4130122101101011120
5444433402130422
622003010502200
72126645341455
oct343221210530
986658436020
1030505505112
1111a34620555
125ab4294960
132b52026b54
14169563482c
15bd81cd2ac
hex71a451158

30505505112 has 96 divisors (see below), whose sum is σ = 85429868160. Its totient is φ = 9823680000.

The previous prime is 30505505111. The next prime is 30505505117. The reversal of 30505505112 is 21150550503.

30505505112 is a `hidden beast` number, since 3 + 0 + 50 + 550 + 51 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30505505111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330062 + ... + 1352802.

It is an arithmetic number, because the mean of its divisors is an integer number (889894460).

Almost surely, 230505505112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30505505112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42714934080).

30505505112 is an abundant number, since it is smaller than the sum of its proper divisors (54924363048).

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

30505505112 is a wasteful number, since it uses less digits than its factorization.

30505505112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23385 (or 23378 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 30505505112 in words is "thirty billion, five hundred five million, five hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 601 744 1116 1202 1803 2232 2404 3606 4808 5409 7212 10818 14424 18631 21636 22741 37262 43272 45482 55893 68223 74524 90964 111786 136446 149048 167679 181928 204669 223572 272892 335358 409338 447144 545784 670716 704971 818676 1341432 1409942 1637352 2114913 2819884 4229826 5639768 6344739 8459652 12689478 13667341 16919304 25378956 27334682 41002023 50757912 54669364 82004046 109338728 123006069 164008092 246012138 328016184 423687571 492024276 847375142 984048552 1271062713 1694750284 2542125426 3389500568 3813188139 5084250852 7626376278 10168501704 15252752556 30505505112