Search a number
-
+
1231020024 = 233137354049
BaseRepresentation
bin100100101011111…
…1101111111111000
310011210101022000020
41021113331333320
510010120120044
6322053010440
742335332443
oct11127757770
93153338006
101231020024
11581973623
122a4323a20
13168065820
14b96c665a
1573116a19
hex495fdff8

1231020024 has 64 divisors (see below), whose sum is σ = 3359748000. Its totient is φ = 373579776.

The previous prime is 1231020023. The next prime is 1231020041. The reversal of 1231020024 is 4200201321.

It is a junction number, because it is equal to n+sod(n) for n = 1231019985 and 1231020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231020023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4249 + ... + 49800.

Almost surely, 21231020024 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 1231020024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679874000).

1231020024 is an abundant number, since it is smaller than the sum of its proper divisors (2128727976).

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

1231020024 is a wasteful number, since it uses less digits than its factorization.

1231020024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54144 (or 54140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1231020024 is about 35085.8949436950. The cubic root of 1231020024 is about 1071.7373655825.

Adding to 1231020024 its reverse (4200201321), we get a palindrome (5431221345).

The spelling of 1231020024 in words is "one billion, two hundred thirty-one million, twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3796 5694 7592 11388 22776 54049 108098 162147 216196 324294 432392 648588 702637 1297176 1405274 2107911 2810548 3945577 4215822 5621096 7891154 8431644 11836731 15782308 16863288 23673462 31564616 47346924 51292501 94693848 102585002 153877503 205170004 307755006 410340008 615510012 1231020024