Search a number
-
+
101304232024 = 23174722676991
BaseRepresentation
bin101111001011000110…
…0111110100001011000
3100200111001210012020111
41132112030332201120
53124432340411044
6114312153134104
710214261523142
oct1362614764130
9320431705214
10101304232024
1139a65663a06
12177726ba334
139725a99a78
144c90363c92
15297d9b3b34
hex179633e858

101304232024 has 64 divisors (see below), whose sum is σ = 205517813760. Its totient is φ = 46631016960.

The previous prime is 101304232019. The next prime is 101304232027. The reversal of 101304232024 is 420232403101.

It is a junction number, because it is equal to n+sod(n) for n = 101304231986 and 101304232004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101304232027) 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 15 ways as a sum of consecutive naturals, for example, 14487169 + ... + 14494159.

It is an arithmetic number, because the mean of its divisors is an integer number (3211215840).

Almost surely, 2101304232024 is an apocalyptic number.

It is an amenable number.

101304232024 is an abundant number, since it is smaller than the sum of its proper divisors (104213581736).

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

101304232024 is a wasteful number, since it uses less digits than its factorization.

101304232024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 101304232024 its reverse (420232403101), we get a palindrome (521536635125).

The spelling of 101304232024 in words is "one hundred one billion, three hundred four million, two hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 17 34 47 68 94 136 188 376 799 1598 2267 3196 4534 6392 6991 9068 13982 18136 27964 38539 55928 77078 106549 118847 154156 213098 237694 308312 328577 426196 475388 657154 852392 950776 1314308 1811333 2628616 3622666 5585809 7245332 11171618 14490664 15848597 22343236 31697194 44686472 63394388 126788776 269426149 538852298 744884059 1077704596 1489768118 2155409192 2979536236 5959072472 12663029003 25326058006 50652116012 101304232024