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30123013032 = 2332728538269
BaseRepresentation
bin11100000011011110…
…001011001110101000
32212202022202121112100
4130003132023032220
5443142442404112
621501024413400
72114322246300
oct340336131650
985668677470
1030123013032
11118587235a2
125a08177260
132ac0a05588
14165a90a600
15bb48272dc
hex70378b3a8

30123013032 has 72 divisors (see below), whose sum is σ = 94902871050. Its totient is φ = 8606574144.

The previous prime is 30123013013. The next prime is 30123013049. The reversal of 30123013032 is 23031032103.

30123013032 is a `hidden beast` number, since 301 + 2 + 301 + 30 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26378307396 + 3744705636 = 162414^2 + 61194^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 30123012996 and 30123013014.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 4265607 + ... + 4272662.

Almost surely, 230123013032 is an apocalyptic number.

It is an amenable number.

30123013032 is an abundant number, since it is smaller than the sum of its proper divisors (64779858018).

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

30123013032 is a wasteful number, since it uses less digits than its factorization.

30123013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538295 (or 8538281 counting only the distinct ones).

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

Adding to 30123013032 its reverse (23031032103), we get a palindrome (53154045135).

The spelling of 30123013032 in words is "thirty billion, one hundred twenty-three million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 8538269 17076538 25614807 34153076 51229614 59767883 68306152 76844421 102459228 119535766 153688842 179303649 204918456 239071532 307377684 358607298 418375181 478143064 537910947 614755368 717214596 836750362 1075821894 1255125543 1434429192 1673500724 2151643788 2510251086 3347001448 3765376629 4303287576 5020502172 7530753258 10041004344 15061506516 30123013032