Search a number
-
+
30292172001 = 327139723931
BaseRepresentation
bin11100001101100011…
…011101110011100001
32220012010001210000100
4130031203131303201
5444014244001001
621525510213013
72121445133160
oct341543356341
986163053010
1030292172001
11119351611a3
125a54954169
132b19a81b40
1416751813d7
15bc45dd586
hex70d8ddce1

30292172001 has 72 divisors (see below), whose sum is σ = 54427498944. Its totient is φ = 15809541120.

The previous prime is 30292171997. The next prime is 30292172051. The reversal of 30292172001 is 10027129203.

It is not a de Polignac number, because 30292172001 - 22 = 30292171997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30292172051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7704006 + ... + 7707936.

Almost surely, 230292172001 is an apocalyptic number.

It is an amenable number.

30292172001 is a deficient number, since it is larger than the sum of its proper divisors (24135326943).

30292172001 is a wasteful number, since it uses less digits than its factorization.

30292172001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 30292172001 in words is "thirty billion, two hundred ninety-two million, one hundred seventy-two thousand, one".

Divisors: 1 3 7 9 13 21 39 63 91 97 117 273 291 679 819 873 1261 2037 3783 3931 6111 8827 9409 11349 11793 26481 27517 28227 35379 51103 65863 79443 82551 84681 122317 153309 197589 247653 357721 366951 381307 459927 592767 856219 1073163 1100853 1143921 2568657 2669149 3219489 3431763 4956991 7705971 8007447 14870973 24022341 34698937 36986779 44612919 104096811 110960337 258907453 312290433 332881011 480828127 776722359 1442484381 2330167077 3365796889 4327453143 10097390667 30292172001