Search a number
-
+
1241100252 = 223373152957
BaseRepresentation
bin100100111111001…
…1010111111011100
310012111100102111000
41021332122333130
510020210202002
6323053030300
742520115040
oct11176327734
93174312430
101241100252
11587628a97
122a7785390
1316a184a62
14bab8c020
1573e5861c
hex49f9afdc

1241100252 has 96 divisors (see below), whose sum is σ = 3796029440. Its totient is φ = 343154880.

The previous prime is 1241100247. The next prime is 1241100253. The reversal of 1241100252 is 2520011421.

1241100252 is a `hidden beast` number, since 1 + 2 + 411 + 0 + 0 + 252 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241100253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043 + ... + 49914.

Almost surely, 21241100252 is an apocalyptic number.

1241100252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241100252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898014720).

1241100252 is an abundant number, since it is smaller than the sum of its proper divisors (2554929188).

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

1241100252 is a wasteful number, since it uses less digits than its factorization.

1241100252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53008 (or 53000 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1241100252 is about 35229.2527879886. The cubic root of 1241100252 is about 1074.6547301489.

Adding to 1241100252 its reverse (2520011421), we get a palindrome (3761111673).

The spelling of 1241100252 in words is "one billion, two hundred forty-one million, one hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 11718 23436 52957 105914 158871 211828 317742 370699 476613 635484 741398 953226 1112097 1429839 1482796 1641667 1906452 2224194 2859678 3283334 3336291 4448388 4925001 5719356 6566668 6672582 9850002 10008873 11491669 13345164 14775003 19700004 20017746 22983338 29550006 34475007 40035492 44325009 45966676 59100012 68950014 88650018 103425021 137900028 177300036 206850042 310275063 413700084 620550126 1241100252